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

Acta Physica Sinica

A NEW METHOD FOR CONSTRUCTING ORTHONORMAL EIGENVECTORS OF HIGH ORDER POWER OF PHOTON ANNIHILATION OPERATOR

LI Fu-li, CHAI JIN-LIN, Zhi‐Ming Zhang, 西安交通大学物理系,西安,710049

Published Jan 1, 1993• 0 citations
Publisher

Abstract

In this paper, orthonormal eigenvectors of high order power of photon annihila.tion operator are constructed with N basic vectors of coherent states |aei(2π)/N n〉(n = 0,1,2, …,N-1), and squeezing and antibunching in these states are studied. The results show that squeezing appears only when N = 2 and 4 but antibunching exists for every N.

DOI
10.7498/aps.42.1058

Related papers

A METHOD FOR CONSTRUCTING EVERY ORTHONORMAL EIGENSTATES SYSTEM OF αN

Shi Weichun, CHANG JIAN-BIN, Han Shi-jie +1 more

In this paper, a method for constructing every orthonormal eigenstates system of αN is given with N basic vecrors of coherent states |a exp(i2πn/N) > (n = 0,1, … N-1). Squeezing and antibunching in these states are studied. The results show that αN have the orthonormal eigenstates system which exhibits amplitude m-th (m<N) power squeezing and antibunching.

Acta Physica Sinica•Jan 1, 1993•1 citation

SQUEEZING PROPERTIES OF EIGENSTATES OF HIGH ORDER POWER OF PHOTON ANNIHILATION OPERATOR

You-Bang Zhan, 淮阴师范专科学校物理系,淮阴223001

In this paper, the squeezing properties of orthonormal eigenstates of high order power of photon annihilation operator αk (k≥3) are studied. It is shown that the amplitude Nth-power squeezing (k=2N) can exist in the eigenstates when k is even.

Acta Physica Sinica•Jan 1, 1992•1 citation

A NEW METHOD FOR CONSTRUCTING ORTHONORMAL EIGENVECTORS OF HIGH ORDER POWER OF PHOTON ANNIHILATION OPERATOR

Li Fu-li，Cai Jin-lin，Zhang Zhi-ming

摘要 本文以N 个相千态 为基矢构造了光子数湮没算子的高次幂 的N 个正交归一的本征函数, 并研究了这些态的压缩和反聚束性质. 结果表明, 仅当N=2 和4 时, 这些态才具有压缩性质, 但反聚束效应对每一个N 值都存在. Abstract 作者及机构信息 李福利；柴晋临；张智明 1. 西安交通大学物理系 Authors and contacts Li Fu-li;Cai Jin-lin;Zhang Zhi-ming 参考文献 施引文献

Acta Physica Sinica•Jan 1, 1991•3 citations

Orthonormalized eigenstates of the quantum operator ak and their nonclassical properties

Xiao-Ming Liu, Shun-Jin Wang, ZHANG WEN-ZHONG

A method for construction of the k orthonormalized quantum eigenstates of the higher powers ${\mathit{a}}^{\mathit{k}}$ of the quantum-annihilation operator a is proposed, and their physical meaning is explored. Nonclassical properties of these quantum eigenstates are studied and the main results are as follows: (1) All of the eigenstates can be expressed as a linear superposition of k quantum-coherent states; (2) all of them are generalized quantum-coherent states; (3) for k\ensuremath{\ge}3, they have the Nth-order quantum squeezing for N=mk+k/2 (m=0,1,2, . . .) and even k, but no Nth-order quantum squeezing for other values of N and k; (4) for k\ensuremath{\ge}3, all of them exhibit the lowest- and higher-order quantum antibunching.

Physical Review A•Jun 1, 1995•6 citations

Quantum statistical properties of orthonormalized eigenstates of the operator (â f ($\hat n$))k

Ji‐Suo Wang, Jian Feng, Tang-Kun Liu +1 more

The completeness of the k orthonormalized eigenstates of the operator (â f ( )) k ( k ⩾3) is investigated. We introduce a new kind of higher-order squeezing and an antibunching. The properties of the M th-order squeezing and the antibunching effect of the k states are studied. The result shows that these states may form a complete Hilbert space, and the M th-order ( M = ( n + 1/2) k ; n = 0,1,...) squeezing effects exist in all of the k states when k is even. There is an antibunching effect in all of the states. An alternative method for constructing the k states is proposed, and the result shows that all of them can be generated by linear superposition of the time-dependent nonlinear coherent states at different instants.

Journal of Physics B Atomic Molecular and Optical Physics•May 24, 2002•12 citations

A new kind of nonlinear coherent states and their properties

Ji‐Suo Wang, Xiang‐Gao Meng, Bao‐Long Liang +1 more

A new kind of nonlinear coherent states, i.e. the k eigenstates of the powers B^k (k ≥ 3) of the generalized annihilation operator B^=a^†-1f(N^) of f-oscillators, are constructed using the inverse operators of the boson annihilation and creation operators. The set of these states may form a complete quantum mechanics representation. Using newly defined higher order squeezing and an antibunching, the properties of the Mth-order squeezing and the antibunching effect of the k states are investigated. The results show that the Mth-order [M = (n + 1/2)k; n = 0, 1, 2, …] squeezing effects exist in all of the k states when k is even and the antibunching effect exists in all of the k states.

Journal of Modern Optics•Jul 5, 2016•7 citations
In this paper, orthonormal eigenvectors of high order power of photon annihila.tion operator are constructed with N basic vectors of coherent states |aei(2π)/N n〉(n = 0,1,2, …,N-1), and squeezing and antibunching in these states are studied. The results show that squeezing appears only when N = 2 and 4 but antibunching exists for every N.
A method for construction of the k orthonormalized quantum eigenstates of the higher powers ak{\mathit{a}}^{\mathit{k}}ak of the quantum-annihilation operator a is proposed, and their physical meaning is explored. Nonclassical properties of these quantum eigenstates are studied and the main results are as follows: (1) All of the eigenstates can be expressed as a linear superposition of k quantum-coherent states; (2) all of them are generalized quantum-coherent states; (3) for k\ensuremath{\ge}3, they have the Nth-order quantum squeezing for N=mk+k/2 (m=0,1,2, . . .) and even k, but no Nth-order quantum squeezing for other values of N and k; (4) for k\ensuremath{\ge}3, all of them exhibit the lowest- and higher-order quantum antibunching.
Quantum statistical properties of orthonormalized eigenstates of the operator (â f (n^\hat nn^))k
The completeness of the k orthonormalized eigenstates of the operator (â f ( )) k ( k ⩾3) is investigated. We introduce a new kind of higher-order squeezing and an antibunching. The properties of the M th-order squeezing and the antibunching effect of the k states are studied. The result shows that these states may form a complete Hilbert space, and the M th-order ( M = ( n + 1/2) k ; n = 0,1,...) squeezing effects exist in all of the k states when k is even. There is an antibunching effect in all of the states. An alternative method for constructing the k states is proposed, and the result shows that all of them can be generated by linear superposition of the time-dependent nonlinear coherent states at different instants.
A new kind of nonlinear coherent states, i.e. the k eigenstates of the powers B^k (k ≥ 3) of the generalized annihilation operator B^=a^†-1f(N^) of f-oscillators, are constructed using the inverse operators of the boson annihilation and creation operators. The set of these states may form a complete quantum mechanics representation. Using newly defined higher order squeezing and an antibunching, the properties of the Mth-order squeezing and the antibunching effect of the k states are investigated. The results show that the Mth-order [M = (n + 1/2)k; n = 0, 1, 2, …] squeezing effects exist in all of the k states when k is even and the antibunching effect exists in all of the k states.