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:hep-th/0306144 · Modern Physics Letters A

Charged Coherent States Related to su q(2) Covariance

Yun Li, Sicong Jing

Published Jul 20, 2003• 2 citations
arXivHTMLPDF

Abstract

A new kind of q-deformed charged coherent states is constructed in Fock space of two-mode q-boson system with su q(2) covariance and a resolution of unity for these states is derived. We also present a simple way to obtain these coherent states using state projection method.
DOI
10.1142/s0217732303011174

Related papers

A new class off-deformed charge coherent states and their nonclassical properties

M Mortazavi, M K Tavassoly

Two-mode charge (pair) coherent states have been introduced previously by using the 〈η| representation. In this paper, we reobtain these states by a rather different method. Then, using the nonlinear coherent state approach and based on a simple manner by which the representation of two-mode charge coherent states is introduced, we generalize the bosonic creation and annihilation operators to the f -deformed ladder operators and construct a new class of f -deformed charge coherent states. Unlike the (linear) pair coherent states, our presented structure has the potential to generate a large class of pair coherent states with various nonclassicality signs and physical properties which are of interest. For this purpose, we use a few well-known nonlinearity functions associated with particular quantum systems as some physical appearances of our presented formalism. After introducing the explicit form of the above correlated states in the two-mode Fock space, several nonclassicality features of the corresponding states (as well as the two-mode linear charge coherent states) are numerically investigated by calculating quadrature squeezing, the Mandel parameter, the second-order correlation function, the second-order correlation function between the two modes and the Cauchy–Schwartz inequality. Also, the oscillatory behaviour of the photon count and the quasi-probability (Husimi) function of the associated states will be discussed. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Coherent states: mathematical and physical aspects’.

arXiv:1204.2673•Journal of Physics A Mathematical and Theoretical•May 30, 2012•7 citations

Extension of theq-deformed oscillator and two-parameter coherent states

M. Arık, C Kilic

The SU q (2) algebra is extended by introducing additional raising and lowering operators and constructing their coherent states. This new algebra of coherent states and the commutation relations between the extended operators are investigated and a resolution of unity is proposed.

Journal of Physics A Mathematical and General•Sep 3, 2001•2 citations

The Two-Variable Coherent States of the Quantum Algebra su q (1,1)

Gong Ren-shan

By means of the k -order q -boson realizations of su q (1,1), a new kind of q-coherent states, the two-variable coherent states, are introduced for the quantum algebra su q (1,1).They are relative to a definite irreducible representation of su q (1,1) and shown to satisfy a completeness relation in a subspace of q -boson's Fock space. With the help of these coherent states the z -representation, representation in functional space, for su q (1,1) is also discussed.

Communications in Theoretical Physics•Sep 15, 1997•0 citations

Uncorrelated two-mode SU (1,1) coherent states

Hou Li-Zhen, Gao-Jian Zeng

We have constructed a new kind of two-mode bosonic realization of SU (1,1) Lie algebra, on the basis of which the SU (1,1) generalized coherent states in the two-mode Fock space are derived. These two-mode SU (1,1) coherent states, which are called uncorrelated two-mode SU (1,1) coherent states, include three special cases. For these states, we study the mean photon number distribution and their non-classical properties, which are photon anti-bunching, violations of Cauchy-Schwarz inequality and two-mode squeezing.

Chinese Physics•Aug 28, 2001•3 citations

NonlinearSU(3) charged and hypercharged coherent states

Hong-Yi Fan, Guichuan Yu

We introduce the nonlinear SU (3) charged and hypercharged bosonic coherent state in three-mode Fock space. It can be further recast into a compact exponential form. The fermionic case is also discussed.

Journal of Physics A Mathematical and General•Jul 20, 2001•4 citations

The q-Deformed Oscillator Representations and Their Coherent States of the su(1, 1) Algebra

We present various oscillator representations of the q-deformed su(1,1) algebra such as the Holstein-Primakoff, the Dyson, the Fock-Bargmann, the anyonic, and the parabose oscillator representations and discuss their coherent states with the resolution of unity. 1.

•Jan 1, 1997•0 citations
Two-mode charge (pair) coherent states have been introduced previously by using the 〈η| representation. In this paper, we reobtain these states by a rather different method. Then, using the nonlinear coherent state approach and based on a simple manner by which the representation of two-mode charge coherent states is introduced, we generalize the bosonic creation and annihilation operators to the f -deformed ladder operators and construct a new class of f -deformed charge coherent states. Unlike the (linear) pair coherent states, our presented structure has the potential to generate a large class of pair coherent states with various nonclassicality signs and physical properties which are of interest. For this purpose, we use a few well-known nonlinearity functions associated with particular quantum systems as some physical appearances of our presented formalism. After introducing the explicit form of the above correlated states in the two-mode Fock space, several nonclassicality features of the corresponding states (as well as the two-mode linear charge coherent states) are numerically investigated by calculating quadrature squeezing, the Mandel parameter, the second-order correlation function, the second-order correlation function between the two modes and the Cauchy–Schwartz inequality. Also, the oscillatory behaviour of the photon count and the quasi-probability (Husimi) function of the associated states will be discussed. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Coherent states: mathematical and physical aspects’.
We have constructed a new kind of two-mode bosonic realization of SU (1,1) Lie algebra, on the basis of which the SU (1,1) generalized coherent states in the two-mode Fock space are derived. These two-mode SU (1,1) coherent states, which are called uncorrelated two-mode SU (1,1) coherent states, include three special cases. For these states, we study the mean photon number distribution and their non-classical properties, which are photon anti-bunching, violations of Cauchy-Schwarz inequality and two-mode squeezing.