Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:math-ph/0212010

Parabose Squeezed Operator and Its Applications

Wei Yang, Si Cong Jing

Published Dec 3, 2002• 0 citations
arXivHTMLPDF

Abstract

By virtue of the parabose squeezed operator, propagator of a parabose parametric amplifier, explicit form of parabose squeezed number states and normalization factors of excitation states on a parabose squeezed vacuum atate are calculated in this letter, which generalize the relevant results from ordinary Bose statistics to parabose case.

DOI
10.48550/arxiv.math-ph/0212010

Related papers

Parabose Squeezed Operator and Its Applications

Wei-Min Yang, Sicong Jing

By virtue of the parabose squeezed operator, propagator of a parabose parametric amplifier, explicit forms of parabose squeezed number states and normalization factors of excitation states on a parabose squeezed vacuum state are calculated, which generalize the relevant results from ordinary Bose statistics to the parabose case.

Communications in Theoretical Physics•Mar 15, 2001•2 citations

Parabose Squeezed Operator and Its Applications

YANGWei-Min, JINGSi-Cong

By virtue of the parabose squeezed operator, propagator of a parabose parametric amplificr, explicit forms of parabose squeezed number states and normalization factors of excitation states on a parabose squeezed vacuum state are calculated, which generalize the relevant results from ordinary Bose statistics to the parabose case.

理论物理通讯：英文版•Jan 1, 2001•0 citations

Normalized Excited Squeezed Vacuum State and Its Applications

Meng Xiang-Guo, Ji‐Suo Wang, Liang Bao-Long

By using the intermediate coordinate-momentum representation in quantum optics and generating function for the normalization of the excited squeezed vacuum state (ESVS), the normalized ESVS is obtained. We find that its normalization constants obtained via two new methods are uniform and a new form which is different from the result obtained by Zhang and Fan [Phys. Lett. A 165 (1992) 14]. By virtue of the normalization constant of the ESVS and the intermediate coordinate-momentum representation, the tomogram of the normalized ESVS and some useful formulae are derived.

Communications in Theoretical Physics•May 1, 2007•0 citations

Para-squeezed states

G. M. Saxena, C. L. Mehta

In this paper the squeezed states for a one mode para-bose system is considered and it will be shown that a recently published contradictory assertion that no such states exist is based on an erroneous consideration. It is found that the squeeze operator is identical for both the ordinary and para-bose systems. The uncertainties in the canonical variables q (position) and p (momentum) in the para-squeezed state are obtained. The normal ordered form of the para-squeeze operator is also obtained and is then used to write the number and the coordinate representation of the para-bose vacuum.

Journal of Mathematical Physics•Mar 1, 1991•4 citations

SQUEEZED STATES FOR PARABOSONS

Bijan Kumar Bagchi, Debajyoti Bhaumik

Squeezed states for parabosons are constructed since we know that a parabose oscillator can be parametrized in terms of bosonic operators. We also discuss some of their important properties.

Modern Physics Letters A•Mar 14, 1998•5 citations

New n-mode squeezing operator and squeezed states with standard squeezing

Li-yun Hu, Hong-yi Fan

We find that the exponential operator V ≡exp[ i λ( Q 1 P 2 + Q 2 P 3 +⋅⋅⋅+ Q n −1 P n + Q n P 1 )], Q i , P i are, respectively, the coordinate and momentum operators, is an n -mode squeezing operator which engenders standard squeezing. By virtue of the technique of integration within an ordered product of operators we derive V 's normally ordered expansion and obtain the n -mode squeezed vacuum states, its Wigner function is calculated by using the Weyl ordering invariance under similar transformations.

arXiv:0902.1589•Europhysics Letters (EPL)•Mar 1, 2009•14 citations
By virtue of the parabose squeezed operator, propagator of a parabose parametric amplifier, explicit form of parabose squeezed number states and normalization factors of excitation states on a parabose squeezed vacuum atate are calculated in this letter, which generalize the relevant results from ordinary Bose statistics to parabose case.
By using the intermediate coordinate-momentum representation in quantum optics and generating function for the normalization of the excited squeezed vacuum state (ESVS), the normalized ESVS is obtained. We find that its normalization constants obtained via two new methods are uniform and a new form which is different from the result obtained by Zhang and Fan [Phys. Lett. A 165 (1992) 14]. By virtue of the normalization constant of the ESVS and the intermediate coordinate-momentum representation, the tomogram of the normalized ESVS and some useful formulae are derived.
In this paper the squeezed states for a one mode para-bose system is considered and it will be shown that a recently published contradictory assertion that no such states exist is based on an erroneous consideration. It is found that the squeeze operator is identical for both the ordinary and para-bose systems. The uncertainties in the canonical variables q (position) and p (momentum) in the para-squeezed state are obtained. The normal ordered form of the para-squeeze operator is also obtained and is then used to write the number and the coordinate representation of the para-bose vacuum.
We find that the exponential operator V ≡exp[ i λ( Q 1 P 2 + Q 2 P 3 +⋅⋅⋅+ Q n −1 P n + Q n P 1 )], Q i , P i are, respectively, the coordinate and momentum operators, is an n -mode squeezing operator which engenders standard squeezing. By virtue of the technique of integration within an ordered product of operators we derive V 's normally ordered expansion and obtain the n -mode squeezed vacuum states, its Wigner function is calculated by using the Weyl ordering invariance under similar transformations.