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 C

Eigenstates of the higher powers of annihilation operator of a Q-deformed non-harmonic oscillator and their higher-order squeezing

Jian‐Sheng Wang, TK Liu, Zhan Zhan

Published Dec 1, 2000• 0 citations
OpenAlex

Abstract

The eigenstates of the Kth powers (K greater than or equal to3) of the annihilation operator of the Q-deformed non-harmonic oscillator are constructed, and their completeness and higher-order squeezing properties are investigated. The results show that they form a complete Hilbert space, and the Mth order [M = (n + 1/2) K; n = 0,1,2,...] squeezing effects exist in all of the eigenstates when K is even.

Related papers

Higher-order squeezing for generalized odd and even coherent states of a Q-deformed non-harmonic oscillator

Jian‐Sheng Wang, TK Liu, Zhan Zhan

The completeness and higher-order squeezing properties of generalized odd and even coherent states of a Q-deformed non-harmonic oscillator are investigated. The results show that they may form a complete Hilbert space,and the odd-order squeezing effects exist in all of the states.

Chinese Physics C•Jan 1, 2001•0 citations

Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator

Zhong Wang

The antibunching properties for the eigenstates of the Kth powers (K≥3) of the annihilation operator of the q-deformed non-harmonic oscillator are investigated. The numerical method is used to study the properties influenced by the parameter q. The results show that the eigenstates exhibit antibunching effects in a number of intervals of x=β2, which reflects the intensity of the non-harmonic oscillator in q-deformation generalized coherent state. The effects are evidently influenced by the parameter q. When q is taken values departure from 1 greatly, these intervals become larger, and shift toward the positive x direction.

Chinese Physics C•Jan 1, 2003•0 citations

Squeezing and Higherorder Squeezing Properties of Eigenstates of the Operator akqsSupported by the Natural Science Foundation of Shandong Province, China.

Ji‐Suo Wang

The squeezing and higherorder squeezing properties of k orthonormalized eigenstates of the higher powers akqs(k≥3) of the annihilation operator of twoparameter deformed harmonic oscillator are investigated. It is found that the Nthpower squeezing [N=(m+1/2)k, m=0,1,2,…] can exist in the all of them when k is even.

中国激光(英文版)•Jan 1, 1997•0 citations

Nonclassical properties of superposition of eigenstates of the higher powers of annihilation operator of a non-harmonic oscillator

LU Dao-ming

The superposition of the eigenstates of the Nth powers(N≥3)of the annihilation operator of the non-harmonic oscillator is constructed.Its higher-order squeezing effect and antibunching effect are studied.The results show that the order of squeezing and antibunching effect are determined by the phase difference.

Journal of Guizhou Normal University•Jan 1, 2004•0 citations

Internal Structure and Squeezing Properties of Some Macroscopic Quantum States

Liang Mai

Coherent states and the extension to the even and odd coherent states, and further to the eigenstates of the higher power of the annihilation operator are basic and important macroscopic quantum states in quantum field theory. Recently, these investigations have been extended to the aharmonic oscillator and the quantum algebra with q -deformed or qs-deformed commutation relations. In this paper,the orthogonal eigenstates of the higher order of the annihilation operator of the q -deformed aharmonic oscillator are also derived. It is pointed out that these different macroscopic quantum states have similar squeezing properties of higher order amplitude. The reason is found that the orthogonal eigenstates of the higher order of the annihilation operator of the harmonic oscillator, the q -deformed oscillator, the qs -deformed oscillator, the Enharmonic oscillator and the q -deformed anharmonic oscillator all have even and odd structure, which is similar to the simple even and odd coherent states. For other systems like the system with SU(1 ,1) Lie algebra or q -deformed quantum algebra also have such properties.

Chinese Physics C•Jan 1, 2003•0 citations

Eigenstates of the Operator $a_{qs}^k$ and Their Antibunching Effect

Ji‐Suo Wang, Chang-Yong Sun

In this paper, the mathematical structure and properties of orthonormalized eigenstates of the higher powers of the annihilation operator of two-parameter deformed harmonic oscillator are studied. Based on the work, the antibunching properties of them are investigated. It is found that they may form a complete Hilbert space, and all of them show antibunching effect.

Communications in Theoretical Physics•Jun 15, 1997•0 citations
The eigenstates of the Kth powers (K greater than or equal to3) of the annihilation operator of the Q-deformed non-harmonic oscillator are constructed, and their completeness and higher-order squeezing properties are investigated. The results show that they form a complete Hilbert space, and the Mth order [M = (n + 1/2) K; n = 0,1,2,...] squeezing effects exist in all of the eigenstates when K is even.
The antibunching properties for the eigenstates of the Kth powers (K≥3) of the annihilation operator of the q-deformed non-harmonic oscillator are investigated. The numerical method is used to study the properties influenced by the parameter q. The results show that the eigenstates exhibit antibunching effects in a number of intervals of x=β2, which reflects the intensity of the non-harmonic oscillator in q-deformation generalized coherent state. The effects are evidently influenced by the parameter q. When q is taken values departure from 1 greatly, these intervals become larger, and shift toward the positive x direction.
Coherent states and the extension to the even and odd coherent states, and further to the eigenstates of the higher power of the annihilation operator are basic and important macroscopic quantum states in quantum field theory. Recently, these investigations have been extended to the aharmonic oscillator and the quantum algebra with q -deformed or qs-deformed commutation relations. In this paper,the orthogonal eigenstates of the higher order of the annihilation operator of the q -deformed aharmonic oscillator are also derived. It is pointed out that these different macroscopic quantum states have similar squeezing properties of higher order amplitude. The reason is found that the orthogonal eigenstates of the higher order of the annihilation operator of the harmonic oscillator, the q -deformed oscillator, the qs -deformed oscillator, the Enharmonic oscillator and the q -deformed anharmonic oscillator all have even and odd structure, which is similar to the simple even and odd coherent states. For other systems like the system with SU(1 ,1) Lie algebra or q -deformed quantum algebra also have such properties.
Eigenstates of the Operator aqska_{qs}^kaqsk​ and Their Antibunching Effect