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

Journal of Chaohu College

PHOTON-SUBTRACTED(-ADDED) THERMO VACUUM STATE AND THEIR APPLICATION IN JACOBI POLYNOMIALS

Da Chen

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

We construct photon-subtracted(-added) thermo vacuum state by normalizing them.As their application we derive some new generating function formulas of Jacobi polynomials,which may be applied to study other problems in quantum mechanics. This will also stimulate the research of mathematical physics in the future.

Related papers

PHOTON-SUBTRACTED (-ADDED) THERMO VACUUM STATE AND THEIR APPLICATION IN JACOBI POLYNOMIALS

Cheng, Fan, Hong-Yi

Journal of Chaohu College•Jan 1, 2015•0 citations

New formulas for normalizing photon-added (-subtracted) two-mode squeezed thermal states

Liyun Hu, Hong-Yi Fan, Zhi‐Ming Zhang

For the first time, we derive the compact forms of normalization factors for photon-added (-subtracted) two-mode squeezed thermal states by using the P -representation and the integration within an ordered product of operators (IWOP) technique. It is found that these two factors are related to the Jacobi polynomials. In addition, some new relationships for Jacobi polynomials are presented.

Chinese Physics B•Mar 1, 2013•14 citations

ON THE NORMALIZED TWO-MODE PHOTON-SUBTRACTED SQUEEZED VACUUM STATE

Xue-xiang Xu, Liyun Hu, Hong-Yi Fan

We show that the two-mode photon-subtracted squeezed state (TPSSS) is a squeezed two-variable Hermite polynomial excitation state, and we can therefore determine its normalization as a Jacobi polynomial of the squeezing parameter. Some new relations about the Jacobi polynomials are obtained by this analysis. We also show that the TPSSS can be treated as a two-variable Hermite-polynomial excitation on squeezed vacuum state. The technique of integration within an ordered product of operators brings convenience in our derivation.

Modern Physics Letters A•Oct 20, 2009•19 citations

WIGNER FUNCTIONS OF THERMO NUMBER STATE, PHOTON SUBTRACTED AND ADDED THERMO VACUUM STATE AT FINITE TEMPERATURE

LI-YUN HU, HONG-YI FAN

Based on Takahashi–Umezawa thermo field dynamics and the order-invariance of Weyl ordered operators under similar transformations, we present a new approach to derive the exact Wigner functions of thermo number state, photon subtracted and added thermo vacuum state. We find that these Wigner functions are related to the Gaussian–Laguerre type functions of temperature, whose statistical properties are then analyzed.

arXiv:0901.1424•Modern Physics Letters A•Sep 14, 2009•24 citations

New Approach for Normalizing Photon-Added and Photon-Subtracted Squeezed States

Fan Hong‐Yi, Nian-Quan Jiang

We present a new concise approach for normalizing m -photon-added squeezed state and m -photon-subtracted squeezed state , i.e., we construct the generating function respectively, after calculating them and comparing the result with the standard form of generating function of Legendre polynomials P m , we find , and , where r is the squeezing parameter.

Chinese Physics Letters•Apr 1, 2010•4 citations

New generating function formulas of Jacobi polynomials obtained by virtue ofthe photon subtracted and photon added two-mode squeezed states

Gang Ren, Jian-guo Ma, Jian-ming Du +1 more

Optik•Aug 22, 2014•2 citations
We show that the two-mode photon-subtracted squeezed state (TPSSS) is a squeezed two-variable Hermite polynomial excitation state, and we can therefore determine its normalization as a Jacobi polynomial of the squeezing parameter. Some new relations about the Jacobi polynomials are obtained by this analysis. We also show that the TPSSS can be treated as a two-variable Hermite-polynomial excitation on squeezed vacuum state. The technique of integration within an ordered product of operators brings convenience in our derivation.