Exact solutions to the Jaynes-Cummings model without the rotating-wave approximation

被引：53

作者：

Chen, Qing-Hu ^{[1
,2
]}

Liu, Tao ^{[3
]}

Zhang, Yu-Yu ^{[2
,4
]}

Wang, Ke-Lin ^{[5
]}

机构：

[1] Zhejiang Normal Univ, Ctr Stat Theoret Condensed Matter Phys, Jinhua 321004, Peoples R China

[2] Zhejiang Univ, Dept Phys, Hangzhou 310027, Peoples R China

[3] SW Univ Sci & Technol, Dept Phys, Mianyang 621010, Peoples R China

[4] Chongqing Univ, Ctr Modern Phys, Congqing 400044, Peoples R China

[5] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Peoples R China

来源：

EPL | 2011年 / 96卷 / 01期

基金：

中国国家自然科学基金;

关键词：

QUANTUM STATES; DYNAMICS;

D O I：

10.1209/0295-5075/96/14003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By using tunable extended bosonic coherent states, the JC model without the rotating-wave approximation can be mapped to a polynomial equation with a single variable. The solutions to this polynomial equation recover exactly all eigenvalues and eigenfunctions of the model for all coupling strengths and detunings, which can be readily applied to recent circuit quantum electrodynamic systems operating in the ultra-strong coupling regime. Copyright (C) EPLA, 2011

引用

页数：6

共 32 条

[1] Qubit-oscillator systems in the ultrastrong-coupling regime and their potential for preparing nonclassical states [J].

Ashhab, S. ;

Nori, Franco .

PHYSICAL REVIEW A, 2010, 81 (04)

[2] Deep Strong Coupling Regime of the Jaynes-Cummings Model [J].

Casanova, J. ;

Romero, G. ;

Lizuain, I. ;

Garcia-Ripoll, J. J. ;

Solano, E. .

PHYSICAL REVIEW LETTERS, 2010, 105 (26)

[3]

Chen Q.-H., ARXIV10071747

[4]

CHEN QH, 1994, J PHYS-CONDENS MAT, V6, P6599, DOI 10.1088/0953-8984/6/33/008

[5] Entanglement dynamics of two independent Jaynes-Cummings atoms without the rotating-wave approximation [J].

Chen, Qing-Hu ;

Yang, Yuan ;

Liu, Tao ;

Wang, Ke-Lin .

PHYSICAL REVIEW A, 2010, 82 (05)

[6] Numerically exact solution to the finite-size Dicke model [J].

Chen, Qing-Hu ;

Zhang, Yu-Yu ;

Liu, Tao ;

Wang, Ke-Lin .

PHYSICAL REVIEW A, 2008, 78 (05)

[7] Coherent dynamics of a flux qubit coupled to a harmonic oscillator [J].

Chiorescu, I ;

Bertet, P ;

Semba, K ;

Nakamura, Y ;

Harmans, CJPM ;

Mooij, JE .

NATURE, 2004, 431 (7005) :159-162

[8] Coherent quantum dynamics of a superconducting flux qubit [J].

Chiorescu, I ;

Nakamura, Y ;

Harmans, CJPM ;

Mooij, JE .

SCIENCE, 2003, 299 (5614) :1869-1871

[9] Two-photon probe of the Jaynes-Cummings model and controlled symmetry breaking in circuit QED [J].

Deppe, Frank ;

Mariantoni, Matteo ;

Menzel, E. P. ;

Marx, A. ;

Saito, S. ;

Kakuyanagi, K. ;

Tanaka, H. ;

Meno, T. ;

Semba, K. ;

Takayanagi, H. ;

Solano, E. ;

Gross, R. .

NATURE PHYSICS, 2008, 4 (09) :686-691

[10] Bogoliubov transformations and exact isolated solutions for simple nonadiabatic Hamiltonians [J].

Emary, C ;

Bishop, RF .

JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (08) :3916-3926

← 1 2 3 4 →