An Exact Solution to the Master Equation for the Dissipative Harmonic Oscillator Driven by an External Field
HOU Bang-Pin1,2 , WANG Shun-Jin2 , YU Wan-Lun1
1 Department of Physics, Sichuan Normal University, Chengdu 610068
2 Institute of Modern Physics, Southwest Jiaotong University, Chengdu 610031
An Exact Solution to the Master Equation for the Dissipative Harmonic Oscillator Driven by an External Field
HOU Bang-Pin1,2 ;WANG Shun-Jin2 ;YU Wan-Lun1
1 Department of Physics, Sichuan Normal University, Chengdu 610068
2 Institute of Modern Physics, Southwest Jiaotong University, Chengdu 610031
关键词 ：
03.65.Fd ,
03.65.Bz
Abstract ： By using the algebraic structure in the operator dual space in the master equation for the driven dissipative harmonic oscillator, we have rewritten the master equation as a Schrödinger-like equation. Then we have used three gauge transformations and obtained an exact solution to the master equation in the particle number representation.
Key words ：
03.65.Fd
03.65.Bz
出版日期: 2003-07-01
引用本文:
HOU Bang-Pin;WANG Shun-Jin;YU Wan-Lun. An Exact Solution to the Master Equation for the Dissipative Harmonic Oscillator Driven by an External Field[J]. 中国物理快报, 2003, 20(7): 979-981.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2003/V20/I7/979
[1]
ZHENG Shi-Biao. Teleportation of Quantum States through Mixed Entangled Pairs
[2]
YAO Chun-Mei. Quantum Remote Control of Unitary Operations on a Qubit of Pure Entangled States
[3]
WANG Gang;LUO Bin;PAN Wei;WU Shao-Quan;HOU Bang-Pin. Exact Solution to Rate Equation with Time-Dependent Coefficients: Its Application in InGaAsP Lasers
[4]
ZHENG Shi-Biao. Production of Three-Dimensional Maximal Entanglement for Two Cavity Modes
[5]
ZHAN Xiao-Gui;LI Hong-Mei;ZENG Hao-Sheng. Teleportation of Multi-qudit Entangled States
[6]
WANG Gang;WU Shao-Quan;HOU Bang-Pin. Exact Solution to Helmholtz Equation for Inhomogeneous Medium: Its Application in Optical Communication
[7]
CHEN Chang-Yong;;GAO Ke-Lin;. Construction of Controlled-NOT Gate with Thermal Ions
[8]
ZHENG Shi-Biao. Generation of Three-Dimensional Entangled States for Two Atoms Trapped in Different Cavities
[9]
B. Gönül;M. Kocak. Remarks on Exact Solvability of Quantum Systems with Spatially Varying Effective Mass
[10]
WANG Peng;WANG Shun-Jin;ZHANG Hua. Generalized Fokker--Planck Equation with Time-Dependent Transport Coefficients and a Quadratic Potential: Its Application in Econophysics
[11]
ZHENG Shi-Biao. Universal Quantum Cloning Machine with Atoms in an Optical Cavity
[12]
HOU Xi-Wen. Algebraic Hamiltonian for Vibrational Spectra of Stibine
[13]
ZHAO Hai-Jun;FANG Xi-Ming. Does the Quantum Player Always Win the Classical One?
[14]
CAI Qing-Yu. Information Erasure and Recovery in Quantum Memory
[15]
WANG Shun-Jin;JIA Cheng-Long;AN Jun-Hong;LUO Hong-Gang;. Spin Switch and Qubit Register from a Spin Particle Controlled by a Time-Dependent Magnetic Field
2003, Vol. 20 
