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
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页数:7
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共 43 条
[1]  
Baez J. C., ARXIV11022098QUANTPH
[2]   Nonrelativistic limit in the 2+1 Dirac oscillator: A Ramsey-interferometry effect [J].
Bermudez, A. ;
Martin-Delgado, M. A. ;
Luis, A. .
PHYSICAL REVIEW A, 2008, 77 (03)
[3]   Exact mapping of the 2+1 Dirac oscillator onto the Jaynes-Cummings model: Ion-trap experimental proposal [J].
Bermudez, A. ;
Martin-Delgado, M. A. ;
Solano, E. .
PHYSICAL REVIEW A, 2007, 76 (04)
[4]   Phase sensitivity in deformed-state superposition considering nonlinear phase shifts [J].
Berrada, K. .
LASER PHYSICS, 2016, 26 (07)
[5]   THE QUANTUM GROUP SUQ(2) AND A Q-ANALOGUE OF THE BOSON OPERATORS [J].
BIEDENHARN, LC .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18) :L873-L878
[6]   PHASE AND ANGLE VARIABLES IN QUANTUM MECHANICS [J].
CARRUTHERS, P ;
NIETO, MM .
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 [J].
Cordero, Sergio ;
Recamier, Jose .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2011, 44 (13)
[9]   JAYNES-CUMMINGS MODEL AND THE DEFORMED-OSCILLATOR ALGEBRA [J].
CRNUGELJ, J ;
MARTINIS, M ;
MIKUTAMARTINIS, V .
PHYSICS LETTERS A, 1994, 188 (4-6) :347-354
[10]   PROPERTIES OF A DEFORMED JAYNES-CUMMINGS MODEL [J].
CRNUGELJ, J ;
MARTINIS, M ;
MIKUTAMARTINIS, V .
PHYSICAL REVIEW A, 1994, 50 (02) :1785-1791