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.

Nonclassical properties of the squeezing and rotating coherent state

2018 ◽  
Vol 96 (12) ◽  
pp. 1365-1372
Author(s):  
Gang Ren ◽  
Jian-ming Du ◽  
Hai-jun Yu
Keyword(s):  
Coherent State ◽  
Parametric Amplifier ◽  
Statistical Properties ◽  
Kerr Medium ◽  
Experimental Scheme ◽  
Nonclassical Properties ◽  
Squeezed Coherent State ◽  
Quantum Statistical

In this paper, we construct and investigate the nonclassical properties of the squeezing and rotating coherent state (SRCS) via a generalized squeezed operator by introducing a novel parameter r. In a particular case r = 0, SRCS reduces to the normal squeezed coherent state (SCS). The influence of r is studied in terms of squeezing and quantum statistical properties. Our results show that in the SCS not only is squeezing enhanced but also is rotated by the parameter r. Our discussion about the fidelity between SRCS and SCS shows that the fidelity values decrease with increasing parameter r. The experimental scheme for producing SRCS is also given via a self-Kerr medium and non-degenerate parametric amplifier.

GENERALIZED PARTITION FUNCTION FOR BOSE STATISTICS AND THERMODYNAMIC FUNCTIONS

1999 ◽  
Vol 13 (29n30) ◽  
pp. 1055-1062 ◽  
Author(s):  
HONG-YI FAN ◽  
HUI ZOU
Keyword(s):  
Partition Function ◽  
Coherent State ◽  
Thermodynamic Functions ◽  
Nonlinear Medium ◽  
Symmetric Matrix ◽  
State Representation ◽  
Bose Distribution ◽  
Bose Statistics ◽  
Photon Gas ◽  
Generalized Partition

Based on the density operator's coherent state representation [Phys. Lett.A252, 281 (1999)], we extend the well-known Bose distribution's partition function Ξ [Formula: see text] for ideal photon gas [Formula: see text] to that of an assembly of photon gas interacting with nonlinear medium described by the Hamiltonian [Formula: see text], where A=(a1,a2,…,an), Ω is a symmetric matrix, and we report that the corresponding partition function is [Formula: see text] As a result, the generalized Bose distribution and thermodynamic functions are derived.

GENERALIZED FERMI PARTITION FUNCTION OBTAINED VIA COHERENT STATE REPRESENTATION OF THE DENSITY OPERATOR

1999 ◽  
Vol 14 (35) ◽  
pp. 2471-2479 ◽  
Author(s):  
HONG-YI FAN ◽  
HUI ZOU ◽  
YUE FAN
Keyword(s):  
Partition Function ◽  
Coherent State ◽  
Harmonic Oscillator ◽  
Density Operator ◽  
Fermi System ◽  
State Representation

We generalize the well-known partition function of Fermi harmonic oscillator (H =ω(f+f + ½))[Formula: see text] to [Formula: see text] for Fermi system described by the n-mode fermionic Hamiltonian [Formula: see text]. This result is derived via constructing the fermionic coherent state representation of the density operator [Formula: see text] in which [Formula: see text] is identified as exp {-β Γ Π}.

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