Entangled Husimi operator as a pure state density matrix of two-mode squeezed coherent state

2006 ◽  
Vol 358 (3) ◽  
pp. 203-210 ◽  
Author(s):  
Hong-yi Fan ◽  
Qin Guo
Keyword(s):  
Density Matrix ◽  
Coherent State ◽  
Pure State ◽  
State Density ◽  
Squeezed Coherent State

scholarly journals Classical Chaos Described by a Density Matrix

Physics ◽  
2021 ◽  
Vol 3 (3) ◽  
pp. 739-746
Author(s):  
Andres Mauricio Kowalski ◽  
Angelo Plastino ◽  
Gaspar Gonzalez
Keyword(s):  
Density Matrix ◽  
Pure State ◽  
Classical Limit ◽  
Degrees Of Freedom ◽  
Temporal Evolution ◽  
Entropy Density ◽  
State Density ◽  
Unexpected Result ◽  
Semiclassical Model ◽  
Classical Chaos

In this paper, a reference to the semiclassical model, in which quantum degrees of freedom interact with classical ones, is considered. The classical limit of a maximum-entropy density matrix that describes the temporal evolution of such a system is analyzed. Here, it is analytically shown that, in the classical limit, it is possible to reproduce classical results. An example is classical chaos. This is done by means a pure-state density matrix, a rather unexpected result. It is shown that this is possible only if the quantum part of the system is in a special class of states.

scholarly journals Classical Chaos Described by a Density Matrix

2021 ◽  
Author(s):  
A.M. Kowalski ◽  
Angelo Plastino ◽  
Gaspar Gonzalez Acosta
Keyword(s):  
Density Matrix ◽  
Pure State ◽  
Classical Limit ◽  
Degrees Of Freedom ◽  
State Density ◽  
Semiclassical Model ◽  
Classical Chaos

We work with reference to a well-known semiclassical model, in which quantum degrees of freedom interact with classical ones. We show that, in the classical limit, it is possible to represent classical results (e.g., classical chaos) by means a pure-state density matrix.

DENSITY MATRIX AND PARTITION FUNCTION FOR A GENERALIZED NONDEGENERATE PARAMETRIC AMPLIFIER GAINED VIA A TYPE OF TWO-MODE SPECIAL SQUEEZED COHERENT STATE REPRESENTATION

2001 ◽  
Vol 15 (11) ◽  
pp. 351-357
Author(s):  
HONGYI FAN ◽  
YUE FAN ◽  
MINGZHAI SUN
Keyword(s):  
Partition Function ◽  
Density Matrix ◽  
Coherent State ◽  
Parametric Amplifier ◽  
State Representation ◽  
Complete Representation ◽  
Squeezed Coherent State

By introducing a type of two-mode special squeezed coherent state, we directly derive the density matrix and partition function for a generalized nondegenerate parametric amplifier. The derivation is neat because the states make up a new, complete representation.

scholarly journals Iterative solutions to the steady-state density matrix for optomechanical systems

2015 ◽  
Vol 91 (1) ◽  
Author(s):  
P. D. Nation ◽  
J. R. Johansson ◽  
M. P. Blencowe ◽  
A. J. Rimberg
Keyword(s):  
Steady State ◽  
Density Matrix ◽  
State Density ◽  
Optomechanical Systems ◽  
Iterative Solutions
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