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

Chinese Physics Letters

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

Fan Hong‐Yi, Nian-Quan Jiang

Published Apr 1, 2010• 4 citations
Publisher

Abstract

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.

DOI
10.1088/0256-307x/27/4/044206

Related papers

New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states

Liyun Hu, Zhiming Zhang

Using the thermal field dynamics theory to convert the thermal state into a "pure" state in doubled Fock space, we find that the average value of e f a † a under squeezed thermal state (STS) is just the generating function of Legendre polynomials.Based on this remarkable result, the normalization and photon-number distributions of m-photon added (or subtracted) STSs are conviently obtained as the Legendre polynomials.This new concise method can be expanded to the entangled case.

arXiv:1112.0854•Chinese Optics Letters•Jan 1, 2012•4 citations

LEGENDRE POLYNOMIALS AS THE NORMALIZATION OF PHOTON-SUBTRACTED SQUEEZED STATES

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

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.

Modern Physics Letters A•Jun 28, 2009•11 citations

New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states

胡利云, 张智明

Using the thermal field dynamics theory to convert the thermal state into a 'pure' state in doubled Fock space, we find that the average value of efa a under squeezed thermal state (STS) is just the generating function of Legendre polynomials. Based on this remarkable result, the normalization and photon-number distributions of m-photon added (or subtracted) STSs are conviently obtained as the Legendre polynomials. This new concise method can be expanded to the entangled case.

Chinese Optics Letters•Jan 1, 2012•0 citations

Photon number cumulant expansion and generating function for photon added- and subtracted-two-mode squeezed states

LU Dao-ming, Hong-Yi Fan

For the first time, we derive the photon number cumulant for two-mode squeezed state and show that its cumulant expansion leads to normalization of two-mode photon subtracted-squeezed states and photon added- squeezed states. We show that the normalization is related to Jacobi polynomial, so the cumulant expansion in turn represents the new generating function of Jacobi polynomial.

Chinese Physics B•Feb 1, 2014•3 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

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 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.