Solving Master Equation for Two-Mode Density Matrices by Virtue of Thermal Entangled State Representation

2004 ◽  
Vol 41 (1) ◽  
pp. 21-24
Author(s):  
Fan Hong-Yi ◽  
Li Chao
Keyword(s):  
Master Equation ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Density Matrices

SOLVING MASTER EQUATION FOR CALDEIRA–LEGGETT MODEL BY VIRTUE OF THE THERMO ENTANGLED STATE REPRESENTATION AND THE IWOP TECHNIQUE

2012 ◽  
Vol 26 (14) ◽  
pp. 1250085 ◽  
Author(s):  
QIAN-FAN CHEN ◽  
QIAN YE ◽  
ZHI-HUA LI ◽  
HONG-YI FAN
Keyword(s):  
Master Equation ◽  
Formal Solution ◽  
Quantum Master Equation ◽  
Entangled State ◽  
Iwop Technique ◽  
Entangled State Representation ◽  
State Representation ◽  
Initial State ◽  
Thermo Entangled State Representation ◽  
Thermo Entangled State

In the present work, the exact formal solution of the Caldeira–Leggett quantum master equation for the reduced density matrix of an oscillator is obtained by virtue of the thermo entangled state representation and the technique of integration within an ordered product (IWOP) of operators. Also, the solution for high temperature approximation is derived. When the initial state is a coherent state, it will evolve into a displaced-squeezed chaotic state (a mixed state) which shows that decoherence is involved in the Caldeira–Leggett equation due to the interactions between the system and environment.

APPLICATION OF ENTANGLED STATE IN QUANTIZING SUPERCONDUCTING CAPACITOR MODEL IN THE PRESENCE OF A VOLTAGE BIAS AND A CURRENT BIAS

2004 ◽  
Vol 18 (02) ◽  
pp. 233-240 ◽  
Author(s):  
HONG-YI FAN
Keyword(s):  
Operator Theory ◽  
Hamiltonian Operator ◽  
Entangled State ◽  
Entangled State Representation ◽  
Phase Operator ◽  
State Representation ◽  
Voltage Bias ◽  
A Current

Based on the entangled state representation and the appropriate bosonic phase operator we develop the superconducting capacitor model in the presence of a voltage bias and a current bias. In so doing, the full Hamiltonian operator theory for a superconducting barrier is established.

New Parameterized Coherent-Entangled State Representation and Its Applications

2013 ◽  
Vol 52 (7) ◽  
pp. 2255-2262
Author(s):  
Wen-Wei Luo ◽  
Xiang-Guo Meng ◽  
Qin Guo ◽  
Shan-Jun Ma
Keyword(s):  
Entangled State ◽  
Entangled State Representation ◽  
State Representation
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