1
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Jackson B. An examination of phonon-inelastic molecule-metal scattering using reduced density matrix and stochastic wave packet methods. J Chem Phys 2023; 158:024701. [PMID: 36641393 DOI: 10.1063/5.0133638] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Abstract
We explore the application of reduced density matrix-based approaches to molecules interacting with the lattice vibrations of metals, an interaction responsible for the temperature dependence of many of the fundamental steps of catalysis. We avoid the use of simple models for the bath and instead use density functional theory to compute all molecule-phonon interactions and the properties of the lattice phonons, for methane scattering from Ir(111). We find that while the large metal mass leads to long bath correlation times, these are not significantly longer than the time over which the reduced density matrix changes due to interactions with the bath. We show that the neglect of memory is reasonable and the use of the Redfield equation is justified. We also show how the commonly used rotating wave approximation is far too severe for this scattering problem. A less restrictive approximation that is nearly exact for our system gives an equation of motion in the Lindblad form. As a result, the Monte Carlo wave packet methods can be used to describe gas-phonon scattering, guaranteeing positivity, and with all couplings derived from first-principles.
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Affiliation(s)
- Bret Jackson
- Department of Chemistry, University of Massachusetts Amherst, Amherst, Massachusetts 01003, USA
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2
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Ramos Ramos AR, Kühn O. Manipulating the dynamics of a Fermi resonance with light. A direct optimal control theory approach. Chem Phys 2022. [DOI: 10.1016/j.chemphys.2021.111431] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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3
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Bader F, Tremblay JC, Paulus B. Theoretical modeling of molecules in weakly interacting environments: trifluoride anions in argon. Phys Chem Chem Phys 2022; 24:3555-3567. [PMID: 35080559 DOI: 10.1039/d1cp02338a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The properties of molecules can be affected by the presence of a host environment. Even in inert rare gas matrices such effects are observable, as for instance in matrix isolation spectroscopy. In this work we study the trifluoride anion in cryogenic argon environments. To investigate the structure and vibrational properties of the guest-host systems, a potential energy surface of compound F-3-argon structures is determined from ab initio calculations with the CCSD(T)-F12b approach. Argon environments are probed with minima hopping optimizations of extended trifluoride-argon clusters. The vibrations of F-3 within the optimized environments are examined with anharmonic vibrational analyses. Among the three identified structural surroundings for the trifluoride, two are characterized by relatively favorable guest-host and host-host interactions as well as vibrational zero-point energies. A striking dependence of the trifluoride properties on the particular argon environment reveals the delicate influence of the host atoms on the guest molecule. Very good agreement with measured data suggests that in experiment F-3 occupies a double-vacancy site.
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Affiliation(s)
- Frederik Bader
- Institut für Chemie und Biochemie, Freie Universität Berlin, D-14195, Berlin, Germany.
| | - Jean Christophe Tremblay
- Laboratoire de Physique et Chimie Théoriques, CNRS-Université de Lorraine, UMR 7019, ICPM, 1Bd Arago, 57070 Metz, France
| | - Beate Paulus
- Institut für Chemie und Biochemie, Freie Universität Berlin, D-14195, Berlin, Germany.
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4
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Mandal S, Gatti F, Bindech O, Marquardt R, Tremblay JC. Multidimensional Stochastic Dissipative Quantum Dynamics Using a Lindblad Operator. J Chem Phys 2022; 156:094109. [DOI: 10.1063/5.0079735] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Souvik Mandal
- Laboratoire de Physique et Chimie Théoriques, Universite de Lorraine - Site de Metz, France
| | - Fabien Gatti
- Institut des Sciences Moléculaires d'Orsay, Paris-Saclay University, France
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5
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Aerts A, Vander Auwera J, Vaeck N. Lindblad parameters from high resolution spectroscopy to describe collision-induced rovibrational decoherence in the gas phase-Application to acetylene. J Chem Phys 2021; 154:144308. [PMID: 33858172 DOI: 10.1063/5.0045275] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Within the framework of the Lindblad master equation, we propose a general methodology to describe the effects of the environment on a system in the dilute gas phase. The phenomenological parameters characterizing the transitions between rovibrational states of the system induced by collisions can be extracted from experimental transition kinetic constants, relying on energy gap fitting laws. As the availability of these kinds of experimental data can be limited, this work relied on experimental line broadening coefficients, however still using energy gap fitting laws. The 3 μm infrared spectral range of acetylene was chosen to illustrate the proposed approach. The method shows fair agreement with available experimental data while being computationally inexpensive. The results are discussed in the context of state laser quantum control.
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Affiliation(s)
- Antoine Aerts
- Université Libre de Bruxelles, Spectroscopy, Quantum Chemistry and Atmospheric Remote Sensing (SQUARES), 50 Avenue F. Roosevelt, C.P. 160/09, B-1050 Brussels, Belgium
| | - Jean Vander Auwera
- Université Libre de Bruxelles, Spectroscopy, Quantum Chemistry and Atmospheric Remote Sensing (SQUARES), 50 Avenue F. Roosevelt, C.P. 160/09, B-1050 Brussels, Belgium
| | - Nathalie Vaeck
- Université Libre de Bruxelles, Spectroscopy, Quantum Chemistry and Atmospheric Remote Sensing (SQUARES), 50 Avenue F. Roosevelt, C.P. 160/09, B-1050 Brussels, Belgium
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6
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Bader F, Tremblay JC, Paulus B. A pair potential modeling study of F3− in neon matrices. Phys Chem Chem Phys 2021; 23:886-899. [DOI: 10.1039/d0cp05031h] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
First-principles investigations of the trifluoride anion in a neon environment reveal a small blue-shift of the fundamental vibrational excitations.
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Affiliation(s)
- Frederik Bader
- Institut für Chemie und Biochemie
- Freie Universität Berlin
- D-14195, Berlin
- Germany
| | | | - Beate Paulus
- Institut für Chemie und Biochemie
- Freie Universität Berlin
- D-14195, Berlin
- Germany
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7
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Serwatka T, Tremblay JC. Stochastic wave packet approach to nonadiabatic scattering of diatomic molecules from metals. J Chem Phys 2019; 150:184105. [PMID: 31091890 DOI: 10.1063/1.5092698] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In this contribution, we present a quantum dynamical approach to study inelastic scattering of diatomic molecules from metal surfaces at normal incidence. The dissipative dynamics obeys a stochastic Schrödinger equation describing the time-evolution of the system as a piecewise deterministic process. Energy exchange between the molecular vibrational degrees of freedom and the metal electrons is represented using operators in tensor product form, which are coupled via anharmonic transition rates calculated from first-order perturbation theory. Full dimensional observables are obtained by averaging over simulations in 4D-including the internal stretch, the distance to the surface, and the orientation angles-at different surface sites. The method is applied to the state-resolved scattering of vibrationally excited NO from Au(111), revealing important channels for quantized energy relaxation.
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Affiliation(s)
- T Serwatka
- Institut für Chemie und Biochemie, Freie Universität Berlin, D-14195 Berlin, Germany
| | - J C Tremblay
- Institut für Chemie und Biochemie, Freie Universität Berlin, D-14195 Berlin, Germany
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8
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Meng Q, Meyer HD. Expansion Hamiltonian model for a diatomic molecule adsorbed on a surface: Vibrational states of the CO/Cu(100) system including surface vibrations. J Chem Phys 2015; 143:164310. [DOI: 10.1063/1.4934506] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022] Open
Affiliation(s)
- Qingyong Meng
- State Key Laboratory of Molecular Reaction Dynamics, Dalian Institute of Chemical Physics, Chinese Academy of Sciences, Zhongshan Road 457, 116023 Dalian, China
| | - Hans-Dieter Meyer
- Theoretische Chemie, Physikalisch-Chemisches Institut, Ruprecht-Karls Universität Heidelberg, Im Neuenheimer Feld 229, D-69120 Heidelberg, Germany
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9
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Zaum C, Meyer-Auf-der-Heide KM, Mehlhorn M, McDonough S, Schneider WF, Morgenstern K. Differences between thermal and laser-induced diffusion. PHYSICAL REVIEW LETTERS 2015; 114:146104. [PMID: 25910140 DOI: 10.1103/physrevlett.114.146104] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/13/2014] [Indexed: 06/04/2023]
Abstract
A combination of femtosecond laser excitation with a low-temperature scanning tunneling microscope is used to study long-range interaction during diffusion of CO on Cu(111). Both thermal and laser-driven diffusion show an oscillatory energy dependence on the distance to neighboring molecules. Surprisingly, the phase is inverted; i.e., at distances at which thermal diffusion is most difficult, it is easiest for laser-driven diffusion and vice versa. We explain this unexpected behavior by a transient stabilization of the negative ion during diffusion as corroborated by ab initio calculations.
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Affiliation(s)
- Ch Zaum
- Leibniz Universität Hannover, Institut für Festkörperphysik, Abteilung für atomare und molekulare Strukturen (ATMOS), Appelstrasse 2, D-30167 Hannover, Germany
| | - K M Meyer-Auf-der-Heide
- Leibniz Universität Hannover, Institut für Festkörperphysik, Abteilung für atomare und molekulare Strukturen (ATMOS), Appelstrasse 2, D-30167 Hannover, Germany
| | - M Mehlhorn
- Leibniz Universität Hannover, Institut für Festkörperphysik, Abteilung für atomare und molekulare Strukturen (ATMOS), Appelstrasse 2, D-30167 Hannover, Germany
| | - S McDonough
- Departement of Chemical and Biomolecular Engineering, University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - W F Schneider
- Departement of Chemical and Biomolecular Engineering, University of Notre Dame, Notre Dame, Indiana 46556, USA
| | - K Morgenstern
- Ruhr-Universität Bochum, Lehrstuhl für physikalische Chemie I, D-44780 Bochum, Germany
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10
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Tremblay JC, Blanco-Rey M. Manipulating interfacial hydrogens at palladium via STM. Phys Chem Chem Phys 2015; 17:13973-83. [DOI: 10.1039/c5cp00663e] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
Abstract
In this contribution, we provide a quantum dynamical analysis of the interfacial hydrogen migration mediated by scanning tunneling microscopy (STM). It is observed that the hydrogen impurity favors resurfacing over occupation of the bulk and subsurface sites whenever possible. The present simulations give strong indication that the experimentally observed protuberances after STM-excitation are due to H accumulating in the vicinity of the surface.
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Affiliation(s)
| | - María Blanco-Rey
- Departamento de Física de Materiales
- Facultad de Químicas
- Universidad del País Vasco UPV/EHU
- 20080 Donostia-San Sebastián
- Spain
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11
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Füchsel G, Tremblay JC, Saalfrank P. A six-dimensional potential energy surface for Ru(0001)(2×2):CO. J Chem Phys 2014; 141:094704. [DOI: 10.1063/1.4894083] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Gernot Füchsel
- Institut für Chemie, Universität Potsdam, Karl-Liebknecht-Straße 24-25, D-14476 Potsdam-Golm, Germany
| | - Jean Christophe Tremblay
- Institut für Chemie und Biochemie - Physikalische und Theoretische Chemie, Freie Universität Berlin, Takustr. 3, 14195 Berlin, Germany
| | - Peter Saalfrank
- Institut für Chemie, Universität Potsdam, Karl-Liebknecht-Straße 24-25, D-14476 Potsdam-Golm, Germany
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12
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Meng Q, Meyer HD. MCTDH study on vibrational states of the CO/Cu(100) system. J Chem Phys 2013; 139:164709. [DOI: 10.1063/1.4826258] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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13
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Chan M, Manzhos S, Carrington T, Yamashita K. Parameterized Bases for Calculating Vibrational Spectra Directly from ab Initio Data Using Rectangular Collocation. J Chem Theory Comput 2012; 8:2053-61. [DOI: 10.1021/ct300248n] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023]
Affiliation(s)
- Matthew Chan
- Department
of Chemistry and
Chemical Biology, McMaster University, Hamilton, Ontario, L8S 4M1,
Canada
| | - Sergei Manzhos
- Research Center
for Advanced
Science and Technology (RCAST), University of Tokyo, 4-6-1, Komaba,
Meguro-ku, Tokyo 153-8904, Japan
| | - Tucker Carrington
- Chemistry Department, Queen’s
University, Kingston, Ontario, K7L 3N6, Canada
| | - Koichi Yamashita
- Department of Chemical System
Engineering, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656,
Japan
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14
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Füchsel G, Tremblay JC, Klamroth T, Saalfrank P. Selective Excitation of Molecule-Surface Vibrations in H2 and D2 Dissociatively Adsorbed on Ru(0001). Isr J Chem 2012. [DOI: 10.1002/ijch.201100097] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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15
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Tremblay JC, Monturet S, Saalfrank P. The effects of electron-hole pair coupling on the infrared laser-controlled vibrational excitation of NO on Au(111). J Phys Chem A 2011; 115:10698-707. [PMID: 21861512 DOI: 10.1021/jp205902k] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
In this work, we present theoretical simulations of laser-driven vibrational control of NO adsorbed on a gold surface. Our goal is to tailor laser pulses to selectively excite specific modes and vibrational eigenstates, as well as to favor photodesorption of the adsorbed molecule. To this end, various control schemes and algorithms are applied. For adsorbates at metallic surfaces, the creation of electron-hole pairs in the substrate is known to play a dominant role in the transfer of energy from the system to the surroundings. These nonadiabatic couplings are included perturbatively in our reduced density matrix simulations using a generalization of the state-resolved position-dependent anharmonic rate model we recently introduced. An extension of the reduced density matrix is also proposed to provide a sound model for photodesorption in dissipative systems.
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Affiliation(s)
- Jean Christophe Tremblay
- Institut für Chemie, Universität Potsdam, Karl-Liebknecht-Straße 24-25, D-14476 Potsdam-Golm, Germany.
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16
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Tremblay JC. Laser control of molecular excitations in stochastic dissipative media. J Chem Phys 2011; 134:174111. [DOI: 10.1063/1.3587093] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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17
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Füchsel G, Klamroth T, Tremblay JC, Saalfrank P. Stochastic approach to laser-induced ultrafast dynamics: the desorption of H(2)/D(2) from Ru(0001). Phys Chem Chem Phys 2010; 12:14082-94. [PMID: 20856974 DOI: 10.1039/c0cp00895h] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Abstract
The desorption of molecular hydrogen and deuterium induced by femtosecond-laser pulses is studied theoretically for the so-called DIMET (Desorption Induced by Multiple Electronic Transitions) process. These investigations are based on nonadiabatic classical Monte Carlo trajectory (CMCT) simulations on a ground and an excited state potential energy surface, including up to all six adsorbate degrees of freedom. The focus is on the hot-electron mediated energy transfer from the surface to the molecule and back, and the energy partitioning between the different degrees of freedom of the desorbing molecules. We first validate for a two-mode model comprising the desorption mode and the internal vibrational coordinate, the classical Monte Carlo trajectory method by comparing with Monte Carlo wavepacket (MCWP) calculations arising from a fully quantum mechanical open-system density matrix treatment. We then proceed by extending the CMCT calculations to include all six nuclear degrees of freedom of the desorbing molecule. This allows for a detailed comparison between theory and experiment concerning isotope effects, energy partitioning (translational, vibrational, and rotational energies and their distributions), and the dependence of these properties on the laser fluence. The most important findings are as follows. (i) CMCT agrees qualitative with the MCWP scheme. (ii) The basic experimental features such as the large isotope effect, the non-linear increase of yield with laser fluence, translationally hot products (in the order of several 1000 K) and non-equipartitioning of translational and internal energies (E(trans) > E(vib) > E(rot)) are well reproduced. (iii) Predictions concerning a strong angular dependence of translational energies at large observation angles are also made.
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Affiliation(s)
- Gernot Füchsel
- Institut für Chemie, Universität Potsdam, Karl-Liebknecht-Straße 24-25, D-14476 Potsdam-Golm, Germany
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18
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Ceotto M, Dell’Angelo D, Tantardini GF. Multiple coherent states semiclassical initial value representation spectra calculations of lateral interactions for CO on Cu(100). J Chem Phys 2010; 133:054701. [DOI: 10.1063/1.3462242] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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19
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Marquardt R, Cuvelier F, Olsen RA, Baerends EJ, Tremblay JC, Saalfrank P. A new analytical potential energy surface for the adsorption system CO/Cu(100). J Chem Phys 2010; 132:074108. [DOI: 10.1063/1.3308481] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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20
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Tremblay JC, Saalfrank P. Selective subsurface absorption of hydrogen in palladium using laser distillation. J Chem Phys 2009; 131:084716. [DOI: 10.1063/1.3212695] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022] Open
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21
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Mishima K, Yamashita K. Free-time and fixed end-point optimal control theory in dissipative media: application to entanglement generation and maintenance. J Chem Phys 2009; 131:014109. [PMID: 19586098 DOI: 10.1063/1.3159002] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022] Open
Abstract
We develop monotonically convergent free-time and fixed end-point optimal control theory (OCT) in the density-matrix representation to deal with quantum systems showing dissipation. Our theory is more general and flexible for tailoring optimal laser pulses in order to control quantum dynamics with dissipation than the conventional fixed-time and fixed end-point OCT in that the optimal temporal duration of laser pulses can also be optimized exactly. To show the usefulness of our theory, it is applied to the generation and maintenance of the vibrational entanglement of carbon monoxide adsorbed on the copper (100) surface, CO/Cu(100). We demonstrate the numerical results and clarify how to combat vibrational decoherence as much as possible by the tailored shapes of the optimal laser pulses. It is expected that our theory will be general enough to be applied to a variety of dissipative quantum dynamics systems because the decoherence is one of the quantum phenomena sensitive to the temporal duration of the quantum dynamics.
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Affiliation(s)
- K Mishima
- Department of Chemical System Engineering, Graduate School of Engineering, The University of Tokyo, Tokyo 113-8656, Japan.
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