Mapping of the 2+1 q-deformed Dirac oscillator onto the q-deformed Jaynes-Cummings model

被引:5
作者
Majari, Parisa [1 ]
Luis, Alfredo [2 ]
Setare, Mohammad Reza [1 ]
机构
[1] Univ Kurdistan, Dept Sci, Sanandaj, Iran
[2] Univ Complutense, Dept Opt, Madrid, Spain
关键词
NONLINEAR COHERENT STATES; HARMONIC-OSCILLATOR; QUANTUM; ALGEBRA; DYNAMICS; OPTICS; PHASE;
D O I
10.1209/0295-5075/120/44002
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We develop the equivalence between the two-dimensional Dirac oscillator and the anti-Jaynes-Cummings model within a q-deformed scenario. We solve the Hamiltonian spectrum and the time evolution for number and coherent initial states. We show the lack of preservation of the q-deformed versions of the total angular momentum that reproduces a collapse-revival structure. We provide suitable relations for the non-relativistic limit. Copyright (C) EPLA, 2018
引用
收藏
页数:7
相关论文
共 43 条
  • [1] Baez J. C., ARXIV11022098QUANTPH
  • [2] Nonrelativistic limit in the 2+1 Dirac oscillator: A Ramsey-interferometry effect
    Bermudez, A.
    Martin-Delgado, M. A.
    Luis, A.
    [J]. PHYSICAL REVIEW A, 2008, 77 (03):
  • [3] Exact mapping of the 2+1 Dirac oscillator onto the Jaynes-Cummings model: Ion-trap experimental proposal
    Bermudez, A.
    Martin-Delgado, M. A.
    Solano, E.
    [J]. PHYSICAL REVIEW A, 2007, 76 (04):
  • [4] Phase sensitivity in deformed-state superposition considering nonlinear phase shifts
    Berrada, K.
    [J]. LASER PHYSICS, 2016, 26 (07)
  • [5] THE QUANTUM GROUP SUQ(2) AND A Q-ANALOGUE OF THE BOSON OPERATORS
    BIEDENHARN, LC
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18): : L873 - L878
  • [6] PHASE AND ANGLE VARIABLES IN QUANTUM MECHANICS
    CARRUTHERS, P
    NIETO, MM
    [J]. REVIEWS OF MODERN PHYSICS, 1968, 40 (02) : 411 - +
  • [7] Cohen-Tannoudji C, 2004, ATOM PHOTON INTERACT
  • [8] Selective transition and complete revivals of a single two-level atom in the Jaynes-Cummings Hamiltonian with an additional Kerr medium
    Cordero, Sergio
    Recamier, Jose
    [J]. JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2011, 44 (13)
  • [9] JAYNES-CUMMINGS MODEL AND THE DEFORMED-OSCILLATOR ALGEBRA
    CRNUGELJ, J
    MARTINIS, M
    MIKUTAMARTINIS, V
    [J]. PHYSICS LETTERS A, 1994, 188 (4-6) : 347 - 354
  • [10] PROPERTIES OF A DEFORMED JAYNES-CUMMINGS MODEL
    CRNUGELJ, J
    MARTINIS, M
    MIKUTAMARTINIS, V
    [J]. PHYSICAL REVIEW A, 1994, 50 (02): : 1785 - 1791