From the Weyl quantization of a particle on the circle to number-phase Wigner functions

被引：10

作者：

Przanowski, Maciej ^{[1
]}

Brzykcy, Przemyslaw ^{[1
]}

Tosiek, Jaromir ^{[1
]}

机构：

[1] Tech Univ Lodz, Inst Phys, PL-90924 Lodz, Poland

来源：

ANNALS OF PHYSICS | 2014年 / 351卷

关键词：

Quantum phase; Number-phase Wigner function; QUANTUM-MECHANICS; ANGLE VARIABLES; HILBERT-SPACE; POV MEASURES; OPERATORS; FORMALISM; DISCRETE; FIELD; RADIATION; CYLINDER;

D O I：

10.1016/j.aop.2014.10.011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A generalized Weyl quantization formalism for a particle on the circle is shown to supply an effective method for defining the number-phase Wigner function in quantum optics. A Wigner function for the state (Q) over cap and the kernel K for a particle on the circle is defined and its properties are analysed. Then it is shown how this Wigner function can be easily modified to give the number-phase Wigner function in quantum optics. Some examples of such number-phase Wigner functions are considered. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：919 / 934

页数：16

共 50 条

[21] Weyl and Wigner functions in an extended phase-space formalism
Phys Rev A, 3 (1794):
[22] Weyl and Wigner functions in an extended phase-space formalism
Chountasis, S
Vourdas, A
PHYSICAL REVIEW A, 1998, 58 (03): : 1794 - 1798
[23] Number-phase Wigner representation and entropic uncertainty relations for binomial and negative binomial states
Joshi, A
Vaccaro, JA
Hill, KE
ACTA PHYSICA SLOVACA, 1998, 48 (01) : 23 - 42
[24] Entropic uncertainty relations and the number-phase Wigner function for nonlinear and multiphoton coherent states
Joshi, A
JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS, 2001, 3 (03) : 124 - 129
[25] Cooper-pair number-phase Wigner function for the bosonic operator Josephson model
Fan, Hong-Yi
Wang, Ji-Suo
Liu, Shu-guang
PHYSICS LETTERS A, 2006, 359 (06) : 580 - 586
[26] Number-Phase Quantization Scheme and the Quantum Effects of a Mesoscopic Electric Circuit at Finite Temperature
Shuai Wang
International Journal of Theoretical Physics, 2009, 48 : 1459 - 1465
[27] Number-Phase Quantization Scheme and the Quantum Effects of a Mesoscopic Electric Circuit at Finite Temperature
Wang, Shuai
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2009, 48 (05) : 1459 - 1465
[28] Cooper-pair number-phase quantization for a mesoscopic LC circuit including a josephson junction
Liang Bao-Long
Wang Ji-Suo
Fan Hong-Yi
CHINESE PHYSICS LETTERS, 2007, 24 (11) : 3241 - 3244
[29] Cooper-pair number-phase quantization for inductance coupling circuit including Josephson junctions
Meng, Xiang-Guo
Wang, Ji-Suo
Liang, Bao-Long
CHINESE PHYSICS LETTERS, 2008, 25 (04) : 1419 - 1422
[30] Quantum phase distribution and the number-phase Wigner function of the generalized squeezed vacuum states associated with solvable quantum systems
Honarasa, G. R.
Tavassoly, M. K.
Hatami, M.
CHINESE PHYSICS B, 2012, 21 (05)

← 1 2 3 4 5 →