Relationship Between Negative Binomial State and SU(1,1) Coherent State and Its q -Deformed Generalization

1995 ◽  
Vol 24 (3) ◽  
pp. 377-380 ◽  
Author(s):  
Hong-Yi Fan ◽  
Si-Cong Jing
Keyword(s):  
Coherent State ◽  
Negative Binomial ◽  
Binomial State

ON THE STATISTICS OF SU(1, 1)q and SU(2)q COHERENT STATES

1995 ◽  
Vol 10 (08) ◽  
pp. 687-694 ◽  
Author(s):  
SI-CONG JING ◽  
HONG-YI FAN
Keyword(s):  
Coherent State ◽  
Coherent States ◽  
Negative Binomial ◽  
Binomial State

We find that the SU (2)q coherent state and SU (1, 1)q coherent state in the sense of statistics can be classified as q-binomial state and q-negative binomial state, respectively. Their relations with the q-Euler distribution and q-Heine distribution are discussed.

SOME FEATURES OF SQUEEZED NEGATIVE BINOMIAL STATE

1992 ◽  
Vol 06 (03n04) ◽  
pp. 409-415 ◽  
Author(s):  
AMITABH JOSHI ◽  
S. V. LAWANDE
Keyword(s):  
Electromagnetic Field ◽  
Density Matrix ◽  
Wigner Function ◽  
Negative Binomial ◽  
Thermal State ◽  
Photon Number ◽  
Binomial State ◽  
Relationship Of ◽  
The Relationship ◽  
Photon Number Distribution

Properties of electromagnetic field in the squeezed negative binomial state are investigated in terms of photon number distribution and Wigner function. The relationship of the density matrix of the squeezed negative binomial state to the density matrix of the squeezed thermal state is shown explicitly. The possibility of generation of the negative binomial state is also discussed.

Statistical properties of the nonlinear negative binomial state

2007 ◽  
Vol 274 (2) ◽  
pp. 372-383 ◽  
Author(s):  
M. Sebawe Abdalla ◽  
A.-S.F. Obada ◽  
M. Darwish
Keyword(s):  
Negative Binomial ◽  
Statistical Properties ◽  
Binomial State

Wigner function for squeezed negative binomial state and evolution of density operator for amplitude decay

2019 ◽  
Vol 28 (9) ◽  
pp. 090302 ◽  
Author(s):  
Heng-Yun Lv ◽  
Ji-Suo Wang ◽  
Xiao-Yan Zhang ◽  
Meng-Yan Wu ◽  
Bao-Long Liang ◽  
...  
Keyword(s):  
Wigner Function ◽  
Density Operator ◽  
Negative Binomial ◽  
Binomial State

Two-Parameter Correlated Negative Binomial State in Two-Mode Fock Space

1998 ◽  
Vol 15 (7) ◽  
pp. 469-471 ◽  
Author(s):  
Hong-yi Fan ◽  
Xiao-yin Pan ◽  
Bo-zhan Chen
Keyword(s):  
Negative Binomial ◽  
Fock Space ◽  
Binomial State ◽  
Two Parameter

Shadowed negative binomial state

1996 ◽  
Vol 218 (3-6) ◽  
pp. 151-156 ◽  
Author(s):  
Rajani Srinivasan ◽  
Ching Tsung Lee
Keyword(s):  
Negative Binomial ◽  
Binomial State

SQUEEZING AND OTHER NON-CLASSICAL FEATURES IN k-PHOTON ANHARMONIC OSCILLATOR IN BINOMIAL AND NEGATIVE BINOMIAL STATES OF THE FIELD

1990 ◽  
Vol 04 (02) ◽  
pp. 119-128 ◽  
Author(s):  
AMITABH JOSHI ◽  
SURESH V. LAWANDE
Keyword(s):  
Systematic Study ◽  
Negative Binomial ◽  
Anharmonic Oscillator ◽  
Coherence Function ◽  
Oscillator Model ◽  
First Order ◽  
Two Photon ◽  
Classical Behavior ◽  
Binomial State ◽  
State Of Field

A systematic study of squeezing obtained from k-photon anharmonic oscillator (with interaction hamiltonian of the form (a†)kak, k ≥ 2) interacting with light whose statistics can be varied from sub-Poissonian to poissonian via binomial state of field and super-Poissonian to poissonian via negative binomial state of field is presented. We predict that for all values of k there is a tendency increase in squeezing with increased sub-Poissonian character of the field while the reverse is true with super-Poissonian field. We also present non-classical behavior of the first order coherence function explicitly for k = 2 case (i.e., for two-photon anharmonic oscillator model used for a Kerr-like medium) with variation in the statistics of the input light.

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