Squeezed vacuum state in lossy channel as a squeezed thermal state

2015 ◽  
Vol 29 (33) ◽  
pp. 1550219 ◽  
Author(s):  
Hong-Chun Yuan ◽  
Xue-Xiang Xu
Keyword(s):  
Light Field ◽  
Thermal State ◽  
Vacuum State ◽  
Text Representation ◽  
Squeezed Vacuum State ◽  
Transmission Problems ◽  
Squeezed Vacuum ◽  
Analytical Expressions ◽  
Lossy Channel ◽  
Space Method

In this paper, we alternatively study the evolution of squeezed vacuum state (SVS) in lossy channel by virtue of the phase space method. By using the formula of Wigner function (WF) in coherent representation and [Formula: see text] representation of quantum density operator, the WF formula in lossy channel is derived. After obtaining the analytical expressions of the WFs of the lossy SVS and the squeezed thermal state (STS), we further prove the fact that the lossy SVS is equivalent to a kind of STS. Our result is useful in dealing with the light field transmission problems in the presence of losses.

LEGENDRE POLYNOMIALS AS THE NORMALIZATION OF PHOTON-SUBTRACTED SQUEEZED STATES

2009 ◽  
Vol 24 (20) ◽  
pp. 1597-1603 ◽  
Author(s):  
HONG-YI FAN ◽  
LI-YUN HU ◽  
XUE-XIANG XU
Keyword(s):  
Legendre Polynomial ◽  
Legendre Polynomials ◽  
Hermite Polynomial ◽  
Vacuum State ◽  
Squeezed States ◽  
Squeezed State ◽  
Normalization Factor ◽  
Squeezed Vacuum State ◽  
Squeezed Vacuum ◽  
Excitation State

By converting the photon-subtracted squeezed state (PSSS) to a squeezed Hermite-polynomial excitation state we find that the normalization factor of PSSS is an m-order Legendre polynomial of the squeezing parameter, where m is the number of subtracted photons. Some new relations about the Legendre polynomials are obtained by this analysis. We also show that the PSSS can also be treated as a Hermite-polynomial excitation on squeezed vacuum state.

High Order Nonclassical Properties of the Squeezed Vacuum State

2019 ◽  
Vol 25 (3) ◽  
pp. 252-258
Author(s):  
范有机 FAN You-ji ◽  
卢道明 LU Dao-ming
Keyword(s):  
Vacuum State ◽  
High Order ◽  
Squeezed Vacuum State ◽  
Squeezed Vacuum ◽  
Nonclassical Properties

CORRELATION OF SUPERCURRENTS IN TWO DISTANT MESOSCOPIC SQUID RINGS IN THE PRESENCE OF TWO-MODE NONCLASSICAL FIELD

2005 ◽  
Vol 19 (11) ◽  
pp. 1965-1971 ◽  
Author(s):  
Z. H. PENG ◽  
J. ZOU ◽  
B. SHAO ◽  
J. F. CAI
Keyword(s):  
Quantum Interference ◽  
Vacuum State ◽  
Superconducting Quantum Interference Device ◽  
Squeezed Vacuum State ◽  
Squeezed Vacuum ◽  
Superconducting Quantum Interference ◽  
Squid Rings ◽  
Degree Of Entanglement

In this paper we consider two distant mesoscopic superconducting quantum interference device (SQUID) rings A and B in the presence of two-mode squeezed vacuum state field, and aim to see the effect of the field on the correlation of supercurrents in the two rings. We know the degree of entanglement of the two-mode squeezed vacuum state increases with the squeezing parameter r. In this paper we find that the correlation of the supercurrents increases with the parameter r too, meaning that the correlation of the supercurrents increases with the degree of entanglement of the field.

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