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Carrasco SC, Goerz MH, Malinovskaya SA, Vuletić V, Schleich WP, Malinovsky VS. Dicke State Generation and Extreme Spin Squeezing via Rapid Adiabatic Passage. PHYSICAL REVIEW LETTERS 2024; 132:153603. [PMID: 38682989 DOI: 10.1103/physrevlett.132.153603] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/30/2023] [Accepted: 03/15/2024] [Indexed: 05/01/2024]
Abstract
Considering the unique energy level structure of the one-axis twisting Hamiltonian in combination with standard rotations, we propose the implementation of a rapid adiabatic passage scheme on the Dicke state basis. The method permits to drive Dicke states of the many-atom system into entangled states with maximum quantum Fisher information. The designed states allow us to overcome the classical limit of phase sensitivity in quantum metrology and sensing. We show how to generate superpositions of Dicke states, which maximize metrological gain for a Ramsey interferometric measurement. The proposed scheme is remarkably robust to variations of the driving field and has favorable time scaling, especially for a small to moderate (∼1000) number of atoms, where the total time does not depend on the number of atoms.
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Affiliation(s)
| | - Michael H Goerz
- DEVCOM Army Research Laboratory, Adelphi, Maryland 20783, USA
| | | | - Vladan Vuletić
- Department of Physics, MIT-Harvard Center for Ultracold Atoms, and Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Wolfgang P Schleich
- Institute of Quantum Physics and Center for Integrated Quantum Science and Technology (IQST), Ulm University, Ulm, Germany
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Santos AC, Saguia A, Sarandy MS. Stable and charge-switchable quantum batteries. Phys Rev E 2020; 101:062114. [PMID: 32688466 DOI: 10.1103/physreve.101.062114] [Citation(s) in RCA: 19] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/08/2019] [Accepted: 05/19/2020] [Indexed: 06/11/2023]
Abstract
A fully operational loss-free quantum battery requires an inherent control over the energy transfer process, with the ability of keeping the energy retained with no leakage. Moreover, it also requires a stable discharge mechanism, which entails that no energy revivals occur as the device starts its energy distribution. Here we provide a scalable solution for both requirements. To this aim, we propose a general design for a quantum battery based on an energy current (EC) observable quantifying the energy transfer rate to a consumption hub. More specifically, we introduce an instantaneous EC operator describing the energy transfer process driven by an arbitrary interaction Hamiltonian. The EC observable is shown to be the root for two main applications: (1) a trapping energy mechanism based on a common eigenstate between the EC operator and the interaction Hamiltonian, in which the battery can indefinitely retain its energy even if it is coupled to the consumption hub, and (2) an asymptotically stable discharge mechanism, which is achieved through an adiabatic evolution eventually yielding vanishing EC. These two independent but complementary applications are illustrated in quantum spin chains, where the trapping energy control is realized through Bell pairwise entanglement and the stability arises as a general consequence of the adiabatic spin dynamics.
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Affiliation(s)
- Alan C Santos
- Instituto de Física, Universidade Federal Fluminense, Av. Gal. Milton Tavares de Souza s/n, Gragoatá, 24210-346 Niterói, Rio de Janeiro, Brazil
| | - Andreia Saguia
- Instituto de Física, Universidade Federal Fluminense, Av. Gal. Milton Tavares de Souza s/n, Gragoatá, 24210-346 Niterói, Rio de Janeiro, Brazil
| | - Marcelo S Sarandy
- Instituto de Física, Universidade Federal Fluminense, Av. Gal. Milton Tavares de Souza s/n, Gragoatá, 24210-346 Niterói, Rio de Janeiro, Brazil
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Fast quantum control in dissipative systems using dissipationless solutions. Sci Rep 2019; 9:4048. [PMID: 30858537 PMCID: PMC6412050 DOI: 10.1038/s41598-019-39731-z] [Citation(s) in RCA: 20] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/12/2018] [Accepted: 01/31/2019] [Indexed: 11/24/2022] Open
Abstract
We report on a systematic geometric procedure, built up on solutions designed in the absence of dissipation, to mitigate the effects of dissipation in the control of open quantum systems. Our method addresses a standard class of open quantum systems that encompasses non-Hermitian Hamiltonians. It provides the analytical expression of the extra magnetic field to be superimposed to the driving field in order to compensate the geometric distortion induced by dissipation for spin systems, and produces an exact geometric optimization of fast population transfer. Interestingly, it also preserves the robustness properties of protocols originally optimized against noise. Its extension to two interacting spins restores a fidelity close to unity for the fast generation of Bell state in the presence of dissipation.
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Reverse engineering protocols for controlling spin dynamics. Sci Rep 2017; 7:15814. [PMID: 29150655 PMCID: PMC5694016 DOI: 10.1038/s41598-017-16146-2] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/07/2017] [Accepted: 11/06/2017] [Indexed: 11/24/2022] Open
Abstract
We put forward reverse engineering protocols to shape in time the components of the magnetic field to manipulate a single spin, two independent spins with different gyromagnetic factors, and two interacting spins in short amount of times. We also use these techniques to setup protocols robust against the exact knowledge of the gyromagnetic factors for the one spin problem, or to generate entangled states for two or more spins coupled by dipole-dipole interactions.
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Brierley RT, Creatore C, Littlewood PB, Eastham PR. Adiabatic state preparation of interacting two-level systems. PHYSICAL REVIEW LETTERS 2012; 109:043002. [PMID: 23006082 DOI: 10.1103/physrevlett.109.043002] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/22/2012] [Indexed: 06/01/2023]
Abstract
We consider performing adiabatic rapid passage (ARP) using frequency-swept driving pulses to excite a collection of interacting two-level systems. Such a model arises in a wide range of many-body quantum systems, such as cavity QED or quantum dots, where a nonlinear component couples to light. We analyze the one-dimensional case using the Jordan-Wigner transformation, as well as the mean-field limit where the system is described by a Lipkin-Meshkov-Glick Hamiltonian. These limits provide complementary insights into the behavior of many-body systems under ARP, suggesting our results are generally applicable. We demonstrate that ARP can be used for state preparation in the presence of interactions, and identify the dependence of the required pulse shapes on the interaction strength. In general, interactions increase the pulse bandwidth required for successful state transfer, introducing new restrictions on the pulse forms required.
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Affiliation(s)
- R T Brierley
- TCM, Cavendish Laboratory, JJ Thomson Avenue, Cambridge, CB3 0HE, United Kingdom
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Chen LB, Shi P, Zheng CH, Gu YJ. Generation of three-dimensional entangled state between a single atom and a Bose-Einstein condensate via adiabatic passage. OPTICS EXPRESS 2012; 20:14547-14555. [PMID: 22714516 DOI: 10.1364/oe.20.014547] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
Inspired by a recently experiment by M. Lettner et al. [Phys. Rev. Lett. 106, 210503 (2011)], we propose a robust scheme to prepare three-dimensional entanglement state between a single atom and a Bose-Einstein condensate (BEC) via stimulated Raman adiabatic passage (STIRAP) technique. The atomic spontaneous radiation, the cavity decay, and the fiber loss are efficiently suppressed by the engineering adiabatic passage. Our strictly numerical simulation shows our proposal is good enough to demonstrate the generation of three-dimensional entanglement with high fidelity and within the current experimental technology.
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Affiliation(s)
- Li-Bo Chen
- Department of Physics, Ocean University of China, Qingdao 266100, China
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Mishima K, Yamashita K. Alternative approach of generating entanglement in quantum dots by spatial phase. Mol Phys 2012. [DOI: 10.1080/00268976.2012.668966] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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MISHIMA K, YAMASHITA K. Decoherence of Entanglement in Markov Approximation in Terms of Rotating Wave Approximation. JOURNAL OF COMPUTER CHEMISTRY-JAPAN 2012. [DOI: 10.2477/jccj.2011-0016] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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Chen X, Lizuain I, Ruschhaupt A, Guéry-Odelin D, Muga JG. Shortcut to adiabatic passage in two- and three-level atoms. PHYSICAL REVIEW LETTERS 2010; 105:123003. [PMID: 20867634 DOI: 10.1103/physrevlett.105.123003] [Citation(s) in RCA: 100] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/15/2010] [Indexed: 05/29/2023]
Abstract
We propose a method to speed up adiabatic passage techniques in two-level and three-level atoms extending to the short-time domain their robustness with respect to parameter variations. It supplements or substitutes the standard laser beam setups with auxiliary pulses that steer the system along the adiabatic path. Compared to other strategies, such as composite pulses or the original adiabatic techniques, it provides a fast and robust approach to population control.
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Affiliation(s)
- Xi Chen
- Departamento de Química-Física, UPV-EHU, Apartado 644, 48080 Bilbao, Spain
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Murgida GE, Wisniacki DA, Tamborenea PI. Coherent control of interacting electrons in quantum dots via navigation in the energy spectrum. PHYSICAL REVIEW LETTERS 2007; 99:036806. [PMID: 17678312 DOI: 10.1103/physrevlett.99.036806] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/27/2006] [Indexed: 05/16/2023]
Abstract
Quantum control of the wave function of two interacting electrons confined in quasi-one-dimensional double-well semiconductor structures is demonstrated. The control strategies are based on the knowledge of the energy spectrum as a function of an external uniform electric field. When two low-lying levels have an avoided crossing, our system behaves dynamically to a large extent as a two-level system. This characteristic is exploited to implement coherent control strategies based on slow (adiabatic passage) and rapid (diabatic Landau-Zener transition) changes of the external field. We apply this method to reach desired target states that lie far in the spectrum from the initial state.
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Affiliation(s)
- G E Murgida
- Departamento de Física J.J. Giambiagi, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, C1428EHA Buenos Aires, Argentina
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Bhattacharya M, Raman C. Detecting level crossings without looking at the spectrum. PHYSICAL REVIEW LETTERS 2006; 97:140405. [PMID: 17155226 DOI: 10.1103/physrevlett.97.140405] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/31/2006] [Indexed: 05/12/2023]
Abstract
In many physical systems it is important to be aware of the crossings and avoided crossings which occur when eigenvalues of a physical observable are varied using an external parameter. We have discovered a powerful algebraic method of finding such crossings via a mapping to the problem of locating the roots of a polynomial in that parameter. We demonstrate our method on atoms and molecules in a magnetic field, where it has implications in the search for Feshbach resonances. In the atomic case our method allows us to point out a new class of invariants of the Breit-Rabi Hamiltonian of magnetic resonance. In the case of molecules, it enables us to find curve crossings with practically no knowledge of the corresponding Born-Oppenheimer potentials.
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Affiliation(s)
- M Bhattacharya
- School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
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Fu LB, Chen SG. Topology hidden behind the breakdown of adiabaticity. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2005; 71:016607. [PMID: 15697747 DOI: 10.1103/physreve.71.016607] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/25/2004] [Revised: 10/13/2004] [Indexed: 05/24/2023]
Abstract
For classical Hamiltonian systems, the adiabatic condition may fail at some critical points. However, the breakdown of the adiabatic condition does not always cause the adiabatic evolution to be destroyed. In this paper, we suggest a supplemental condition of the adiabatic evolution for the fixed points of classical Hamiltonian systems when the adiabatic condition breaks down at the critical points. As an example, we investigate the adiabatic evolution of the fixed points of a classical Hamiltonian system which has a number of applications.
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Affiliation(s)
- Li-Bin Fu
- Institute of Applied Physics and Computational Mathematics, P.O. Box 8009 (28), 100088 Beijing, China
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Malinovsky VS, Sola IR. Quantum phase control of entanglement. PHYSICAL REVIEW LETTERS 2004; 93:190502. [PMID: 15600818 DOI: 10.1103/physrevlett.93.190502] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/26/2003] [Indexed: 05/24/2023]
Abstract
A method of phase control of entanglement in two-qubit systems is proposed. We show that by changing a relative phase of the pulses that drive the transitions in a two-qubit system with closed-loop couplings, one can control entanglement at will. The method relies on adiabatic dynamics via time-delayed pulse sequences and can be implemented with both resonant and nonresonant transitions.
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Affiliation(s)
- Vladimir S Malinovsky
- Michigan Center for Theoretical Physics & FOCUS Center, Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA.
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Fainberg BD, Gorbunov VA. Coherent population transfer in molecules coupled with a dissipative environment by an intense ultrashort chirped pulse. J Chem Phys 2002. [DOI: 10.1063/1.1505869] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023] Open
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