Time Evolution of Density Operator for Field Damping in Squeezed Bath Calculated by Squeezing Transformation and Entangled State Representation

2008 ◽  
Vol 47 (11) ◽  
pp. 2952-2959 ◽  
Author(s):  
Xu-bing Tang ◽  
Hong-yi Fan
Keyword(s):  
Time Evolution ◽  
Density Operator ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation

THE MIXED COHERENT STATE REPRESENTATION OF THE DENSITY OPERATOR IN THERMO-FIELD DYNAMICS

2007 ◽  
Vol 21 (04) ◽  
pp. 183-188 ◽  
Author(s):  
H.-Y. FAN ◽  
H.-L. LU
Keyword(s):  
Coherent State ◽  
Density Operator ◽  
Master Equations ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Thermo Field Dynamics

In the framework of thermo-field dynamics, invented by Umezawa et al., we construct a mixed coherent state representation of density operator ρ. This new representation is useful because it provides an approach to retrieve ρ from its c-number solution of master equations in the entangled state representation.

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.

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