1
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Shen T, Barghathi H, Yu J, Del Maestro A, Rubenstein BM. Stable recursive auxiliary field quantum Monte Carlo algorithm in the canonical ensemble: Applications to thermometry and the Hubbard model. Phys Rev E 2023; 107:055302. [PMID: 37329093 DOI: 10.1103/physreve.107.055302] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/22/2022] [Accepted: 03/07/2023] [Indexed: 06/18/2023]
Abstract
Many experimentally accessible, finite-sized interacting quantum systems are most appropriately described by the canonical ensemble of statistical mechanics. Conventional numerical simulation methods either approximate them as being coupled to a particle bath or use projective algorithms which may suffer from nonoptimal scaling with system size or large algorithmic prefactors. In this paper, we introduce a highly stable, recursive auxiliary field quantum Monte Carlo approach that can directly simulate systems in the canonical ensemble. We apply the method to the fermion Hubbard model in one and two spatial dimensions in a regime known to exhibit a significant "sign" problem and find improved performance over existing approaches including rapid convergence to ground-state expectation values. The effects of excitations above the ground state are quantified using an estimator-agnostic approach including studying the temperature dependence of the purity and overlap fidelity of the canonical and grand canonical density matrices. As an important application, we show that thermometry approaches often exploited in ultracold atoms that employ an analysis of the velocity distribution in the grand canonical ensemble may be subject to errors leading to an underestimation of extracted temperatures with respect to the Fermi temperature.
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Affiliation(s)
- Tong Shen
- Department of Chemistry, Brown University, Providence, Rhode Island 02912, USA
| | - Hatem Barghathi
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37916, USA
| | - Jiangyong Yu
- Department of Physics, Brown University, Providence, Rhode Island 02912, USA
| | - Adrian Del Maestro
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37916, USA
- Min H. Kao Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - Brenda M Rubenstein
- Department of Chemistry, Brown University, Providence, Rhode Island 02912, USA
- Department of Physics, Brown University, Providence, Rhode Island 02912, USA
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2
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Hung NQ, Dang ND, Moretto LG. Pairing in excited nuclei: a review. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2019; 82:056301. [PMID: 30736024 DOI: 10.1088/1361-6633/ab05ac] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
The present review summarizes the recent studies on the thermodynamic properties of pairing in many-body systems including superconductors, metallic nanosized clusters and/or grains, solid-state materials, focusing on the excited nuclei, that is nuclei at finite temperature and/or angular momentum formed via heavy-ion fusion, [Formula: see text]-induced fusion reactions, or inelastic scattering of light particles on heavy targets. Because of the finiteness of the systems, several interesting effects of pairing such as nonvanishing pairing gap, smoothing of superfluid-normal phase transition, first and second order phase transitions, pairing reentrance, etc, will be discussed in detail. Influences of exact and approximate thermal pairing on some nuclear properties such as temperature-dependent width of the giant dipole resonance, total level density, and radiative strength function of the [Formula: see text]-rays emission will be also analyzed. Finally, the first experimental evidence of the pairing reentrance phenomenon in a 104Pd nucleus as well as its solid-state counterpart of ferromagnets under strong magnetic field will be presented.
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Affiliation(s)
- N Quang Hung
- Institute of Fundamental and Applied Sciences, Duy Tan University, Ho Chi Minh city 700000, Vietnam
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3
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Alhassid Y, Bertsch G, Gilbreth C, Mustonen M. Nuclear deformation in the configuration-interaction shell model. ACTA ACUST UNITED AC 2018. [DOI: 10.1088/1742-6596/966/1/012059] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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4
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Abstract
The knowledge of the level density as a function of excitation energy and nuclear spin is necessary for the description of nuclear reactions and in many applied areas. We discuss the level density problem as a part of the general understanding of mesoscopic systems with strong interactions. The underlying physics is that of quantum chaos and thermalization which allows one to use statistical methods avoiding full diagonalization. The resulting level density is well described by the constant temperature model in agreement with experimental data. We discuss the effective temperature parameter and show that it is not related to the pairing phase transition being analogous to the limiting temperature in particle physics. Other aspects of underlying physics include the collective enhancement of the level density, random coupling of individual spins and the role of incoherent collision-like interactions.
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5
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Brádler K, Adami C. One-Shot Decoupling and Page Curves from a Dynamical Model for Black Hole Evaporation. PHYSICAL REVIEW LETTERS 2016; 116:101301. [PMID: 27015471 DOI: 10.1103/physrevlett.116.101301] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/11/2015] [Indexed: 06/05/2023]
Abstract
One-shot decoupling is a powerful primitive in quantum information theory and was hypothesized to play a role in the black hole information paradox. We study black hole dynamics modeled by a trilinear Hamiltonian whose semiclassical limit gives rise to Hawking radiation. An explicit numerical calculation of the discretized path integral of the S matrix shows that decoupling is exact in the continuous limit, implying that quantum information is perfectly transferred from the black hole to radiation. A striking consequence of decoupling is the emergence of an output radiation entropy profile that follows Page's prediction. We argue that information transfer and the emergence of Page curves is a robust feature of any multilinear interaction Hamiltonian with a bounded spectrum.
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Affiliation(s)
- Kamil Brádler
- Department of Mathematics and Statistics, University of Ottawa, Ottawa, Canada; Max Planck Centre for Extreme and Quantum Photonics, University of Ottawa, Ottawa, Canada and Department of Astronomy and Physics, Saint Mary's University, Halifax, Canada
| | - Christoph Adami
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
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6
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Alhassid Y, Bertsch G, Gilbreth C, Nakada H, Özen C. Level densities of heavy nuclei in the shell model Monte Carlo approach. EPJ WEB OF CONFERENCES 2016. [DOI: 10.1051/epjconf/201612202001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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7
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Nakada H, Matsuyama E, Özen C. Persistence of Vibrational Collectivity in Nuclear Level Densities. EPJ WEB OF CONFERENCES 2016. [DOI: 10.1051/epjconf/201612202002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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8
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Wang L, Liu YH, Iazzi M, Troyer M, Harcos G. Split Orthogonal Group: A Guiding Principle for Sign-Problem-Free Fermionic Simulations. PHYSICAL REVIEW LETTERS 2015; 115:250601. [PMID: 26722910 DOI: 10.1103/physrevlett.115.250601] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/28/2015] [Indexed: 06/05/2023]
Abstract
We present a guiding principle for designing fermionic Hamiltonians and quantum Monte Carlo (QMC) methods that are free from the infamous sign problem by exploiting the Lie groups and Lie algebras that appear naturally in the Monte Carlo weight of fermionic QMC simulations. Specifically, rigorous mathematical constraints on the determinants involving matrices that lie in the split orthogonal group provide a guideline for sign-free simulations of fermionic models on bipartite lattices. This guiding principle not only unifies the recent solutions of the sign problem based on the continuous-time quantum Monte Carlo methods and the Majorana representation, but also suggests new efficient algorithms to simulate physical systems that were previously prohibitive because of the sign problem.
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Affiliation(s)
- Lei Wang
- Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland
| | - Ye-Hua Liu
- Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland
| | - Mauro Iazzi
- Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland
| | | | - Gergely Harcos
- Alfréd Rényi Institute of Mathematics, Reáltanoda utca 13-15., Budapest H-1053, Hungary
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9
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Alhassid Y, Gilbreth CN, Bertsch GF. Nuclear deformation at finite temperature. PHYSICAL REVIEW LETTERS 2014; 113:262503. [PMID: 25615315 DOI: 10.1103/physrevlett.113.262503] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/01/2014] [Indexed: 06/04/2023]
Abstract
Deformation, a key concept in our understanding of heavy nuclei, is based on a mean-field description that breaks the rotational invariance of the nuclear many-body Hamiltonian. We present a method to analyze nuclear deformations at finite temperature in a framework that preserves rotational invariance. The auxiliary-field Monte Carlo method is used to generate a statistical ensemble and calculate the probability distribution associated with the quadrupole operator. Applying the technique to nuclei in the rare-earth region, we identify model-independent signatures of deformation and find that deformation effects persist to temperatures higher than the spherical-to-deformed shape phase-transition temperature of mean-field theory.
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Affiliation(s)
- Y Alhassid
- Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520, USA
| | - C N Gilbreth
- Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520, USA
| | - G F Bertsch
- Department of Physics and Institute for Nuclear Theory, Box 351560, University of Washington, Seattle, Washington 98195, USA
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10
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Alhassid Y, Bonett-Matiz M, Liu S, Mukherjee A, Nakada H. Recent Advances in the Microscopic Calculations of Level Densities by the Shell Model Monte Carlo Method. EPJ WEB OF CONFERENCES 2014. [DOI: 10.1051/epjconf/20136900010] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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11
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Özen C, Alhassid Y, Nakada H. Collectivity in Heavy Nuclei in the Shell Model Monte Carlo Approach. EPJ WEB OF CONFERENCES 2014. [DOI: 10.1051/epjconf/20136900011] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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12
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Özen C, Alhassid Y, Nakada H. Crossover from vibrational to rotational collectivity in heavy nuclei in the shell-model Monte Carlo approach. PHYSICAL REVIEW LETTERS 2013; 110:042502. [PMID: 25166157 DOI: 10.1103/physrevlett.110.042502] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/09/2012] [Indexed: 06/03/2023]
Abstract
Heavy nuclei exhibit a crossover from vibrational to rotational collectivity as the number of neutrons or protons increases from shell closure towards midshell, but the microscopic description of this crossover has been a major challenge. We apply the shell model Monte Carlo approach to families of even-even samarium and neodymium isotopes and identify a microscopic signature of the crossover from vibrational to rotational collectivity in the low-temperature behavior of ⟨J(2)⟩(T), where J is the total spin and T is the temperature. This signature agrees well with its values extracted from experimental data. We also calculate the state densities of these nuclei and find them to be in very good agreement with experimental data. Finally, we define a collective enhancement factor from the ratio of the total state density to the intrinsic state density as calculated in the finite-temperature Hartree-Fock-Bogoliubov approximation. The decay of this enhancement factor with excitation energy is found to correlate with the pairing and shape phase transitions in these nuclei.
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Affiliation(s)
- C Özen
- Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520, USA and Faculty of Engineering and Natural Sciences, Kadir Has University, Istanbul 34083, Turkey
| | - Y Alhassid
- Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520, USA
| | - H Nakada
- Department of Physics, Graduate School of Science, Chiba University, Inage, Chiba 263-8522, Japan
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13
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Mukherjee A, Alhassid Y. Odd-particle systems in the shell model Monte Carlo method: circumventing a sign problem. PHYSICAL REVIEW LETTERS 2012; 109:032503. [PMID: 22861841 DOI: 10.1103/physrevlett.109.032503] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/17/2012] [Indexed: 06/01/2023]
Abstract
The shell model Monte Carlo method is a powerful technique to calculate thermal and ground-state properties of strongly correlated finite-size systems. However, its application to odd-particle-number systems has been hampered by the sign problem that originates from the projection on an odd number of particles. We circumvent this sign problem for the ground-state energy by extracting the ground-state energy of the odd-particle-number system from the asymptotic behavior of the imaginary-time single-particle Green's function of the even-particle-number system. We apply this method to calculate pairing gaps of nuclei in the iron region. Our results are in good agreement with experimental pairing gaps.
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Affiliation(s)
- Abhishek Mukherjee
- Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520, USA
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14
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Dean DJ, Langanke K, Nam H, Nazarewicz W. Pairing reentrance phenomenon in heated rotating nuclei in the shell-model Monte Carlo approach. PHYSICAL REVIEW LETTERS 2010; 105:212504. [PMID: 21231296 DOI: 10.1103/physrevlett.105.212504] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/07/2009] [Revised: 09/21/2010] [Indexed: 05/30/2023]
Abstract
Rotational motion of heated 72Ge is studied within the microscopic shell-model Monte Carlo approach. We investigate the angular momentum alignment and nuclear pairing correlations associated with J^{π} Cooper pairs as a function of the rotational frequency and temperature. The reentrance of pairing correlations with temperature is predicted at high rotational frequencies. It manifests itself through the anomalous behavior of specific heat and level density.
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Affiliation(s)
- D J Dean
- Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, USA
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15
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Booth GH, Thom AJW, Alavi A. Fermion Monte Carlo without fixed nodes: A game of life, death, and annihilation in Slater determinant space. J Chem Phys 2009; 131:054106. [DOI: 10.1063/1.3193710] [Citation(s) in RCA: 490] [Impact Index Per Article: 32.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022] Open
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16
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Alhassid Y, Fang L, Nakada H. Heavy deformed nuclei in the shell model Monte Carlo method. PHYSICAL REVIEW LETTERS 2008; 101:082501. [PMID: 18764607 DOI: 10.1103/physrevlett.101.082501] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/10/2007] [Indexed: 05/26/2023]
Abstract
We extend the shell model Monte Carlo approach to heavy deformed nuclei using a new proton-neutron formalism. The low excitation energies of such nuclei necessitate low-temperature calculations, for which a stabilization method is implemented in the canonical ensemble. We apply the method to study a well-deformed rare-earth nucleus, 162Dy. The single-particle model space includes the 50-82 shell plus 1f_{7/2} orbital for protons and the 82-126 shell plus 0h_{11/2}, 1g_{9/2} orbitals for neutrons. We show that the spherical shell model reproduces well the rotational character of 162Dy within this model space. We also calculate the level density of 162Dy and find it to be in excellent agreement with the experimental level density, which we extract from several experiments.
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Affiliation(s)
- Y Alhassid
- Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520, USA
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17
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Alhassid Y, Liu S, Nakada H. Spin projection in the shell model monte carlo method and the spin distribution of nuclear level densities. PHYSICAL REVIEW LETTERS 2007; 99:162504. [PMID: 17995245 DOI: 10.1103/physrevlett.99.162504] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/29/2006] [Indexed: 05/25/2023]
Abstract
We introduce spin projection methods in the shell model Monte Carlo approach and apply them to calculate the spin distribution of level densities for iron-region nuclei using the complete (pf + g9/2) shell. We compare the calculated distributions with the spin-cutoff model and extract an energy-dependent moment of inertia. For even-even nuclei and at low excitation energies, we observe a significant suppression of the moment of inertia and odd-even staggering in the spin dependence of level densities.
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Affiliation(s)
- Y Alhassid
- Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520, USA
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18
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Rombouts SMA. Comment on "Gaussian quantum Monte Carlo methods for fermions and bosons". PHYSICAL REVIEW LETTERS 2006; 96:188901; author reply 188902. [PMID: 16712406 DOI: 10.1103/physrevlett.96.188901] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/11/2005] [Indexed: 05/09/2023]
Affiliation(s)
- S M A Rombouts
- Universiteit Gent - UGent Vakgroep Subatomaire en Stralingsfysica Proeftuinstraat 86, B-9000 Gent, Belgium
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19
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Jacobi S, Baer R. Variational grand-canonical electronic structure method for open systems. J Chem Phys 2005; 123:044112. [PMID: 16095351 DOI: 10.1063/1.1949202] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022] Open
Abstract
An ab initio method is developed for variational grand-canonical molecular electronic structure of open systems based on the Gibbs-Peierls-Boguliobov inequality. We describe the theory and a practical method for performing the calculations within standard quantum chemistry codes using Gaussian basis sets. The computational effort scales similarly to the ground-state Hartree-Fock method. The quality of the approximation is studied on a hydrogen molecule by comparing to the exact Gibbs free energy, computed using full configuration-interaction calculations. We find the approximation quite accurate, with errors similar to those of the Hartree-Fock method for ground-state (zero-temperature) calculations. A further demonstration is given of the temperature effects on the bending potential curve for water. Some future directions and applications of the method are discussed. Several appendices give the mathematical and algorithmic details of the method.
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Affiliation(s)
- Shlomit Jacobi
- Department of Physical Chemistry and the Lise Meitner Center for Quantum Chemistry, the Hebrew University of Jerusalem, Jerusalem 91904 Israel
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20
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Abstract
The auxiliary-field Monte Carlo (AFMC) is a method for computing ground-state and excited-state energies and other properties of electrons in molecules. For a given basis set, AFMC is an approximation to full-configuration interaction and the accuracy is determined predominantly by an inverse temperature "beta" parameter. A considerable amount of the dynamical correlation energy is recovered even at small values of beta. Yet, nondynamical correlation energy is inefficiently treated by AFMC. This is because the statistical error grows with beta, warranting increasing amount of Monte Carlo sampling. A recently introduced multi-determinant variant of AFMC is studied, and the method can be tuned by balancing the sizes of the determinantal space and the beta-parameter with respect to a predefined target accuracy. The well-tempered AFMC is considerably more efficient than a naive AFMC. As a welcome "byproduct" low lying excitation energies of the molecule are supplied as well. We demonstrate the principles on dissociating hydrogen molecule and torsion of ethylene where we calculate the (unoptimized) torsional barrier and the vertical singlet-triplet splitting.
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Affiliation(s)
- Shlomit Jacobi
- Department of Physical Chemistry and the Lise Meitner Minerva-Center for Quantum Chemistry, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
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21
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Egido JL, Robledo LM, Martin V. Behavior of shell effects with the excitation energy in atomic nuclei. PHYSICAL REVIEW LETTERS 2000; 85:26-29. [PMID: 10991150 DOI: 10.1103/physrevlett.85.26] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/19/1999] [Indexed: 05/23/2023]
Abstract
We study the behavior of shell effects, like pairing correlations and shape deformations, with the excitation energy in atomic nuclei. The analysis is carried out with the finite temperature Hartree-Fock-Bogoliubov method and a finite range density dependent force. For the first time, properties associated with the octupole and hexadecupole deformation and with the superdeformation as a function of the excitation energy are studied. Calculations for the well quadrupole deformed 164Er and 162Dy, superdeformed 152Dy, octupole deformed 224Ra, and spherical 118Sn nuclei are shown. We find, in particular, the level density of superdeformed states to be 4 orders of magnitude smaller than for normal deformed ones.
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Affiliation(s)
- JL Egido
- Departamento de Fisica Teorica C-XI, Universidad Autonoma de Madrid, 28049 Madrid, Spain
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22
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Alhassid Y, Bertsch GF, Liu S, Nakada H. Parity dependence of nuclear level densities. PHYSICAL REVIEW LETTERS 2000; 84:4313-4316. [PMID: 10990674 DOI: 10.1103/physrevlett.84.4313] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/09/1999] [Indexed: 05/23/2023]
Abstract
A simple formula for the ratio of the number of odd- and even-parity states as a function of temperature is derived. This formula is used to calculate the ratio of level densities of opposite parities as a function of excitation energy. We test the formula with quantum Monte Carlo shell model calculations in the (pf+g(9/2)) shell. The formula describes well the transition from low excitation energies where a single parity dominates to high excitations where the two densities are equal.
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Affiliation(s)
- Y Alhassid
- Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520, USA
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23
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Dufour M, Zuker AP. Realistic collective nuclear Hamiltonian. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1996; 54:1641-1660. [PMID: 9971511 DOI: 10.1103/physrevc.54.1641] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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24
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Rossignoli R. Thermal and microcanonical treatments of a pairing Hamiltonian. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1996; 54:1230-1239. [PMID: 9971458 DOI: 10.1103/physrevc.54.1230] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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25
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Alhassid Y, Bertsch GF, Dean DJ, Koonin SE. Shell Model Monte Carlo Studies of gamma -Soft Nuclei. PHYSICAL REVIEW LETTERS 1996; 77:1444-1447. [PMID: 10063080 DOI: 10.1103/physrevlett.77.1444] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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26
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Radha PB, Dean DJ, Koonin SE, Kuo TT, Langanke K, Poves A, Retamosa J, Vogel P. Shell model Monte Carlo method for two-neutrino double beta decay. PHYSICAL REVIEW LETTERS 1996; 76:2642-2645. [PMID: 10060752 DOI: 10.1103/physrevlett.76.2642] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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27
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Cerf NJ. Monte Carlo computation of pair correlations in excited nuclei. PHYSICAL REVIEW LETTERS 1996; 76:2420-2423. [PMID: 10060695 DOI: 10.1103/physrevlett.76.2420] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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28
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Zamick L, Fayache M, Zheng DC. Change of shape in the yrast sequence in 50Cr. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1996; 53:188-194. [PMID: 9970928 DOI: 10.1103/physrevc.53.188] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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29
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Langanke K, Dean DJ, Radha PB, Alhassid Y, Koonin SE. Shell-model Monte Carlo studies of fp-shell nuclei. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1995; 52:718-725. [PMID: 9970562 DOI: 10.1103/physrevc.52.718] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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30
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Dean DJ, Koonin SE, Langanke K, Radha PB, Alhassid Y. Thermal properties of 54Fe. PHYSICAL REVIEW LETTERS 1995; 74:2909-2912. [PMID: 10058055 DOI: 10.1103/physrevlett.74.2909] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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31
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Rossignoli R. Canonical and grand-canonical partition functions and level densities. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1995; 51:1772-1776. [PMID: 9970246 DOI: 10.1103/physrevc.51.1772] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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32
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Ginocchio JN, Johnson CW. Unified theory of fermion pair to boson mappings in full and truncated spaces. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1995; 51:1861-1872. [PMID: 9970257 DOI: 10.1103/physrevc.51.1861] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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33
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Charutz DM, Neuhauser D. Electronic structure via the auxiliary‐field Monte Carlo algorithm. J Chem Phys 1995. [DOI: 10.1063/1.469498] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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34
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Zheng DC, Vary JP, Barrett BR. Large-space shell-model calculations for light nuclei. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1994; 50:2841-2849. [PMID: 9969983 DOI: 10.1103/physrevc.50.2841] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Dimitrov VI. Hybrid symmetry-conserving variational procedure for nuclear structure calculations. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1994; 50:2893-2899. [PMID: 9969989 DOI: 10.1103/physrevc.50.2893] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Canosa N, Rossignoli R, Ring P. Nuclear level densities and thermal properties for fixed spin in microscopic treatments. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1994; 50:2850-2859. [PMID: 9969984 DOI: 10.1103/physrevc.50.2850] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Kraus G, Egelhof P, Fischer C, Geissel H, Himmler A, Nickel F, Münzenberg G, Schwab W, Weiss A, Friese J, Gillitzer A, Körner HJ, Peter M, Henning WF, Schiffer JP, Kratz JV, Chulkov L, Golovkov M, Ogloblin A, Brown BA. Proton inelastic scattering on 56Ni in inverse kinematics. PHYSICAL REVIEW LETTERS 1994; 73:1773-1776. [PMID: 10056883 DOI: 10.1103/physrevlett.73.1773] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Agrawal BK, Ansari A. Temperature induced alignment in hot rotating nuclei. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1994; 50:509-511. [PMID: 9969688 DOI: 10.1103/physrevc.50.509] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Dean DJ, Radha PB, Langanke K, Alhassid Y, Koonin SE, Ormand WE. Complete 0. PHYSICAL REVIEW LETTERS 1994; 72:4066-4069. [PMID: 10056373 DOI: 10.1103/physrevlett.72.4066] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Ormand WE, Dean DJ, Johnson CW, Lang GH, Koonin SE. Demonstration of the auxiliary-field Monte Carlo approach for sd-shell nuclei. PHYSICAL REVIEW. C, NUCLEAR PHYSICS 1994; 49:1422-1427. [PMID: 9969365 DOI: 10.1103/physrevc.49.1422] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Alhassid Y, Dean DJ, Koonin SE, Lang G, Ormand WE. Practical solution to the Monte Carlo sign problem: Realistic calculations of 54Fe. PHYSICAL REVIEW LETTERS 1994; 72:613-616. [PMID: 10056479 DOI: 10.1103/physrevlett.72.613] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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