The driven oscillator in the photon-number probability representation of quantum mechanics

被引：0
作者：
Dmitry B. Lemeshevskiy
Vladimir I. Man’ko
机构：
[1] Moscow Institute of Physics and Technology (State University),
[2] P. N. Lebedev Physical Institute,undefined
[3] Russian Academy of Sciences,undefined
来源：
Journal of Russian Laser Research | 2012年 / 33卷
关键词：
photon statistics; photon-number tomography; Laguerre polynomials; evolution equation; quasiprobability propagators;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the evolution of the driven harmonic oscillator in the probability representation of quantum mechanics. We use the photon-number tomographic-probability-distribution function to describe the quantum states of the system. We give a general review of the photon-number tomographic framework, including a discussion on the connection with other representations of quantum mechanics. We find tomograms of coherent states as well as excited states of the harmonic oscillator in an explicit form. We discuss the time evolution of the photon-number tomograms and transforms of the propagators for different representations of quantum mechanics. We obtain the propagator for the photon-number tomographic-distribution function for the case of the driven oscillator in an explicit form.
引用
收藏
页码：255 / 268
页数：13
相关论文
共 42 条
[1]  
Mancini S(1996)undefined Phys. Lett. A 213 1-undefined
[2]  
Manko VI(2009)undefined Phys. Scr. 79 065013-undefined
[3]  
Tombesi P(1995)undefined J. Opt. B: Quantum Semiclass. Opt. 7 615-undefined
[4]  
Ibort A(2011)undefined J. Russ. Laser Res. 32 74-undefined
[5]  
Manko VI(1987)undefined Found. Phys. 17 397-undefined
[6]  
Marmo G(1989)undefined Phys. Rev. A 40 2847-undefined
[7]  
Mancini S(1996)undefined Phys. Rev. A 53 4528-undefined
[8]  
Manko VI(1996)undefined Phys. Rev. Lett. 73 4344-undefined
[9]  
Tombesi P(1997)undefined Europhys. Lett. 37 79-undefined
[10]  
Korennoy YA(2012)undefined J. Russ. Laser Res. 33 110-undefined
12345