Exact real-time dynamics of the quantum Rabi model

被引:55
|
作者
Wolf, F. Alexander [1 ]
Kollar, Marcus [1 ]
Braak, Daniel [1 ]
机构
[1] Univ Augsburg, Ctr Elect Correlat & Magnetism, Inst Phys, D-86135 Augsburg, Germany
来源
PHYSICAL REVIEW A | 2012年 / 85卷 / 05期
关键词
2-LEVEL SYSTEM; CAVITY;
D O I
10.1103/PhysRevA.85.053817
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We use the analytical solution of the quantum Rabi model to obtain absolutely convergent series expressions of the exact eigenstates and their scalar products with Fock states. This enables us to calculate the numerically exact time evolution of <sigma(x)(t)> and <sigma(z)(t)> for all regimes of the coupling strength, without truncation of the Hilbert space. We find a qualitatively different behavior of both observables which can be related to their representations in the invariant parity subspaces.
引用
收藏
页数:7
相关论文
共 50 条
  • [1] Holstein polaron transport from numerically "exact" real-time quantum dynamics simulations
    Jankovic, Veljko
    JOURNAL OF CHEMICAL PHYSICS, 2023, 159 (09):
  • [2] The quantum Rabi model: solution and dynamics
    Xie, Qiongtao
    Zhong, Honghua
    Batchelor, Murray T.
    Lee, Chaohong
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (11)
  • [3] Exact real-time dynamics of quantum spin systems using the positive-P representation
    Ng, R.
    Sorensen, E. S.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (06)
  • [4] Dynamical Quantum Phase Transitions of the Schwinger Model: Real-Time Dynamics on IBM Quantum
    Pomarico, Domenico
    Cosmai, Leonardo
    Facchi, Paolo
    Lupo, Cosmo
    Pascazio, Saverio
    Pepe, Francesco V.
    ENTROPY, 2023, 25 (04)
  • [5] Real-time dynamics in diluted quantum networks
    Aurell, Erik
    Mulet, Roberto
    Tuziemski, Jan
    PHYSICAL REVIEW A, 2022, 105 (02)
  • [6] Dynamics of the Quantum Rabi Model in the Adiabatic Regime
    Castanos-Cervantes, L. O.
    INTERNATIONAL CONFERENCE ON QUANTUM PHENOMENA, QUANTUM CONTROL AND QUANTUM OPTICS, QUANTUM FEST 2021, 2023, 2448
  • [7] A generalization of the quantum Rabi model: exact solution and spectral structure
    Eckle, Hans-Peter
    Johannesson, Henrik
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (29)
  • [8] Exact solution of the two-mode quantum Rabi model
    Xie, Qiong-Tao
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2020, 72 (06)
  • [9] Quantum dynamics of the driven and dissipative Rabi model
    Henriet, Loic
    Ristivojevic, Zoran
    Orth, Peter P.
    Le Hur, Karyn
    PHYSICAL REVIEW A, 2014, 90 (02)
  • [10] Exact solvability of the quantum Rabi model using Bogoliubov operators
    Chen, Qing-Hu
    Wang, Chen
    He, Shu
    Liu, Tao
    Wang, Ke-Lin
    PHYSICAL REVIEW A, 2012, 86 (02):