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He X, Cheng X, Wu B, Liu J. Nonadiabatic Field with Triangle Window Functions on Quantum Phase Space. J Phys Chem Lett 2024; 15:5452-5466. [PMID: 38747729 PMCID: PMC11129318 DOI: 10.1021/acs.jpclett.4c00793] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/14/2024] [Revised: 04/29/2024] [Accepted: 05/01/2024] [Indexed: 05/24/2024]
Abstract
Recent progress on the constraint coordinate-momentum phase space (CPS) formulation of finite-state quantum systems has revealed that the triangle window function approach is an isomorphic representation of the exact population-population correlation function of the two-state system. We use the triangle window (TW) function and the CPS mapping kernel element to formulate a novel useful representation of discrete electronic degrees of freedom (DOFs). When it is employed with nonadiabatic field (NaF) dynamics, a new variant of the NaF approach (i.e., NaF-TW) is proposed. The NaF-TW expression of the population of any adiabatic state is always positive semidefinite. Extensive benchmark tests of model systems in both the condensed phase and gas phase demonstrate that the NaF-TW approach is able to faithfully capture the dynamical interplay between electronic and nuclear DOFs in a broad region, including where the states remain coupled all the time, as well as where the bifurcation characteristic of nuclear motion is important.
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Affiliation(s)
- Xin He
- Beijing National Laboratory
for Molecular Sciences, Institute of Theoretical and Computational
Chemistry, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China
| | - Xiangsong Cheng
- Beijing National Laboratory
for Molecular Sciences, Institute of Theoretical and Computational
Chemistry, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China
| | - Baihua Wu
- Beijing National Laboratory
for Molecular Sciences, Institute of Theoretical and Computational
Chemistry, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China
| | - Jian Liu
- Beijing National Laboratory
for Molecular Sciences, Institute of Theoretical and Computational
Chemistry, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China
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Wu B, He X, Liu J. Nonadiabatic Field on Quantum Phase Space: A Century after Ehrenfest. J Phys Chem Lett 2024; 15:644-658. [PMID: 38205956 DOI: 10.1021/acs.jpclett.3c03385] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2024]
Abstract
Nonadiabatic transition dynamics lies at the core of many electron/hole transfer, photoactivated, and vacuum field-coupled processes. About a century after Ehrenfest proposed "Phasenraum" and the Ehrenfest theorem, we report a conceptually novel trajectory-based nonadiabatic dynamics approach, nonadiabatic field (NAF), based on a generalized exact coordinate-momentum phase space formulation of quantum mechanics. It does not employ the conventional Born-Oppenheimer or Ehrenfest trajectory in the nonadiabatic coupling region. Instead, in NAF the equations of motion of the independent trajectory involve a nonadiabatic nuclear force term in addition to an adiabatic nuclear force term of a single electronic state. A few benchmark tests for gas phase and condensed phase systems indicate that NAF offers a practical tool to capture the correct correlation of electronic and nuclear dynamics for processes where the states remain coupled all the time as well as for the asymptotic region where the coupling of electronic states vanishes.
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Affiliation(s)
- Baihua Wu
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China
| | - Xin He
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China
| | - Jian Liu
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China
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He X, Wu B, Shang Y, Li B, Cheng X, Liu J. New phase space formulations and quantum dynamics approaches. WIRES COMPUTATIONAL MOLECULAR SCIENCE 2022. [DOI: 10.1002/wcms.1619] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Affiliation(s)
- Xin He
- Beijing National Laboratory for Molecular Sciences Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Peking University Beijing China
| | - Baihua Wu
- Beijing National Laboratory for Molecular Sciences Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Peking University Beijing China
| | - Youhao Shang
- Beijing National Laboratory for Molecular Sciences Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Peking University Beijing China
| | - Bingqi Li
- Beijing National Laboratory for Molecular Sciences Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Peking University Beijing China
| | - Xiangsong Cheng
- Beijing National Laboratory for Molecular Sciences Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Peking University Beijing China
| | - Jian Liu
- Beijing National Laboratory for Molecular Sciences Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Peking University Beijing China
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Pennetta R, Blaha M, Johnson A, Lechner D, Schneeweiss P, Volz J, Rauschenbeutel A. Collective Radiative Dynamics of an Ensemble of Cold Atoms Coupled to an Optical Waveguide. PHYSICAL REVIEW LETTERS 2022; 128:073601. [PMID: 35244447 DOI: 10.1103/physrevlett.128.073601] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/07/2021] [Accepted: 11/29/2021] [Indexed: 06/14/2023]
Abstract
We experimentally and theoretically investigate collective radiative effects in an ensemble of cold atoms coupled to a single-mode optical nanofiber. Our analysis unveils the microscopic dynamics of the system, showing that collective interactions between the atoms and a single guided photon gradually build up along the atomic array in the direction of propagation of light. These results are supported by time-resolved measurements of the light transmitted and reflected by the ensemble after excitation via nanofiber-guided laser pulses, whose rise and fall times are shorter than the atomic lifetime. Superradiant decays more than 1 order of magnitude faster than the single-atom free-space decay rate are observed for emission in the forward-propagating guided mode, while at the same time, no speed-up of the decay rate is measured in the backward direction. In addition, position-resolved measurements of the light that is transmitted past the atoms are performed by inserting the nanofiber-coupled atomic array in a 45-m-long fiber ring resonator, which allow us to experimentally reveal the progressive growth of the collective response of the atomic ensemble. Our results highlight the unique opportunities offered by nanophotonic cold atom systems for the experimental investigation of collective light-matter interaction.
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Affiliation(s)
- Riccardo Pennetta
- Department of Physics, Humboldt-Universität zu Berlin, 12489 Berlin, Germany
| | - Martin Blaha
- Department of Physics, Humboldt-Universität zu Berlin, 12489 Berlin, Germany
| | - Aisling Johnson
- Department of Physics, Humboldt-Universität zu Berlin, 12489 Berlin, Germany
| | - Daniel Lechner
- Department of Physics, Humboldt-Universität zu Berlin, 12489 Berlin, Germany
| | - Philipp Schneeweiss
- Department of Physics, Humboldt-Universität zu Berlin, 12489 Berlin, Germany
| | - Jürgen Volz
- Department of Physics, Humboldt-Universität zu Berlin, 12489 Berlin, Germany
| | - Arno Rauschenbeutel
- Department of Physics, Humboldt-Universität zu Berlin, 12489 Berlin, Germany
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Cipris A, Moreira NA, do Espirito Santo TS, Weiss P, Villas-Boas CJ, Kaiser R, Guerin W, Bachelard R. Subradiance with Saturated Atoms: Population Enhancement of the Long-Lived States. PHYSICAL REVIEW LETTERS 2021; 126:103604. [PMID: 33784122 DOI: 10.1103/physrevlett.126.103604] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/16/2020] [Accepted: 02/16/2021] [Indexed: 05/12/2023]
Abstract
Dipole-dipole interactions are at the origin of long-lived collective atomic states, often called subradiant, which are explored for their potential use in novel photonic devices or in quantum protocols. Here, we study subradiance beyond the single-excitation regime and experimentally demonstrate a 200-fold increase in the population of these modes, as the saturation parameter of the driving field is increased. We attribute this enhancement to a mechanism similar to optical pumping through the well-coupled superradiant states. The lifetimes are unaffected by the pump strength, as the system is ultimately driven toward the single-excitation sector. Our study is a new step in the exploration of the many-body dynamics of large open systems.
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Affiliation(s)
- A Cipris
- Université Côte d'Azur, CNRS, Institut de Physique de Nice, 06560 Valbonne, France
| | - N A Moreira
- Instituto de Física de São Carlos, Universidade de São Paulo, 13566-590 São Carlos, SP, Brazil
| | - T S do Espirito Santo
- Instituto de Física de São Carlos, Universidade de São Paulo, 13566-590 São Carlos, SP, Brazil
| | - P Weiss
- Université Côte d'Azur, CNRS, Institut de Physique de Nice, 06560 Valbonne, France
| | - C J Villas-Boas
- Departamento de Física, Universidade Federal de São Carlos, Rodovia Washington Luís, km 235-SP-310, 13565-905 São Carlos, SP, Brazil
| | - R Kaiser
- Université Côte d'Azur, CNRS, Institut de Physique de Nice, 06560 Valbonne, France
| | - W Guerin
- Université Côte d'Azur, CNRS, Institut de Physique de Nice, 06560 Valbonne, France
| | - R Bachelard
- Departamento de Física, Universidade Federal de São Carlos, Rodovia Washington Luís, km 235-SP-310, 13565-905 São Carlos, SP, Brazil
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