The Phase Transition in Two-Photon Rabi Model Under Mean Field Approximation

被引：7
|
作者：
Hu, Xian-Lei [1 ,2 ]
机构：
[1] Hunan Normal Univ, Dept Phys, Minist Educ, Key Lab Low Dimens Quantum Struct & Quantum Contr, Changsha 410081, Hunan, Peoples R China
[2] Hunan Normal Univ, Synerget Innovat Ctr Quantum Effects & Applicat, Changsha 410081, Hunan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2019年 / 58卷 / 11期
关键词：
Quantum phase transition; Mean field approximation; Rabi model; Squeezed state; QUANTUM;
D O I：
10.1007/s10773-019-04246-w
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The two-photon Rabi model describes the interaction between a two-level system and a single bosonic mode via two-photon process. By means of mean-field approximation, we investigate the quantum phase transition, which corresponds to a jump from the single well to double well structure for the energy function in the ultra-strong coupling regime. Taking the classical limit for the atom (two-level system) partner, we also study the squeezing of the cavity field in both of the normal and super-radiance phases.
引用
收藏
页码：3765 / 3772
页数：8
相关论文
共 50 条
  • [31] Inhibition and enhancement of cesium two-photon transition under control field
    Lee, Yi-Chi
    Chen, Ying-Yu
    Wang, Chun-Ju
    Chui, Hsiang-Chen
    Wang, Li-Bang
    Tsai, Chin-Chun
    OPTICS EXPRESS, 2012, 20 (13): : 14419 - 14427
  • [32] Comment on "Solvability of the two-photon Rabi Hamiltonian"
    Maciejewski, Andrzej J.
    Przybylska, Maria
    Stachowiak, Tomasz
    PHYSICAL REVIEW A, 2015, 91 (03):
  • [33] A continued fraction based approach for the Two-photon Quantum Rabi Model
    Elena Lupo
    Anna Napoli
    Antonino Messina
    Enrique Solano
    Íñigo L. Egusquiza
    Scientific Reports, 9
  • [34] Analytic Solutions of Two-photon Rabi Model Based on Bargmann Space
    Yan, Zhanyuan
    Yao, Xuemin
    7TH ANNUAL INTERNATIONAL CONFERENCE ON MATERIAL SCIENCE AND ENVIRONMENTAL ENGINEERING, 2020, 735
  • [35] Level crossings and new exact solutions of the two-photon Rabi model
    Maciejewski, Andrzej J.
    Stachowiak, Tomasz
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2019, 52 (48)
  • [36] A continued fraction based approach for the Two-photon Quantum Rabi Model
    Lupo, Elena
    Napoli, Anna
    Messina, Antonino
    Solano, Enrique
    Egusquiza, Inigo L.
    SCIENTIFIC REPORTS, 2019, 9 (1)
  • [37] Asymptotic formula for large eigenvalues of the two-photon quantum Rabi model
    de Monvel, Anne Boutet
    Zielinski, Lech
    COMPTES RENDUS MATHEMATIQUE, 2023, 361 (01) : 1761 - 1766
  • [38] BEHAVIOR OF LARGE EIGENVALUES FOR THE TWO-PHOTON ASYMMETRIC QUANTUM RABI MODEL
    de Monvel, A. Boutet
    Charif, M.
    Zielinski, L.
    ST PETERSBURG MATHEMATICAL JOURNAL, 2024, 35 (01) : 61 - 82
  • [39] The Thirring model as an approximation to the theory of two-photon propagation
    Kamchatnov, AM
    Steudel, H
    Zabolotskii, AA
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (21): : 7485 - 7499
  • [40] Eigenvalues asymptotics of unbounded operators. Two-photon quantum Rabi model
    Ianovich, E.A.
    arXiv, 2023,
12345