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Even and odd q-deformed charge coherent states are constructed, their (over)completeness proved and their generation explored. A $D$-algebra realization of the SU$_q$(1,1) generators is given in terms of them. They are shown to exhibit…

Quantum Physics · Physics 2015-06-26 X. -M. Liu , C. Quesne

The (over)completeness of even and odd nonlinear charge coherent states is proved and their generation explored. They are demonstrated to be generalized entangled nonlinear coherent states. A $D$-algebra realization of the SU$_f$(1,1)…

Quantum Physics · Physics 2015-06-04 X. -M. Liu , B. Li

In this paper, we will present a general formalism for constructing the nonlinear charge coherent states which in special case lead to the standard charge coher- ent states. The suQ(1;1) algebra as a nonlinear deformed algebra realization…

Quantum Physics · Physics 2010-11-17 F. Eftekhari , M. K. Tavassoly

Maths-type q-deformed coherent states with $q > 1$ allow a resolution of unity in the form of an ordinary integral. They are sub-Poissonian and squeezed. They may be associated with a harmonic oscillator with minimal uncertainties in both…

Quantum Physics · Physics 2009-11-10 C. Quesne , K. A. Penson , V. M. Tkachuk

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…

High Energy Physics - Theory · Physics 2009-11-10 Yun Li , Sicong Jing

The von Neumann type subsystems of $q$-deformed coherent states are considered. The completeness of such subsystems is proved.

q-alg · Mathematics 2008-02-03 A. M. Perelomov

Two-mode charge (pair) coherent states has been introduced previously by using $<\eta|$ representation. In the present paper we reobtain these states by a rather different method. Then, using the nonlinear coherent states approach and based…

Quantum Physics · Physics 2015-06-04 M Mortazavi , M K Tavassoly

Dicke states are completely symmetric states of multiple qubits (2-level systems), and qudit Dicke states are their $d$-level generalization. We define here $q$-deformed qudit Dicke states using the quantum algebra $su_q(d)$. We show that…

Quantum Physics · Physics 2025-01-28 David Raveh , Rafael I. Nepomechie

The q-deformed coherent states for a quantum particle on a circle are introduced and their properties investigated.

Quantum Physics · Physics 2009-11-10 K. Kowalski , J. Rembielinski

We study several classical like properties of q-deformed nonlinear coherent states as well as nonclassical behaviours of q-deformed version of the Schrodinger cat states in noncommutative space. Coherent states in q-deformed space are found…

Quantum Physics · Physics 2015-02-18 Sanjib Dey

We construct a new family of q-deformed coherent states $|z>_q$, where $0 < q < 1$. These states are normalizable on the whole complex plane and continuous in their label $z$. They allow the resolution of unity in the form of an ordinary…

Quantum Physics · Physics 2009-11-07 C. Quesne

We review some aspects of the relation between ordinary coherent states and q-deformed generalized coherent states with some of the simplest cases of quantum Lie algebras. In particular, new properties of (q-)coherent states are utilized to…

High Energy Physics - Theory · Physics 2016-11-03 Demosthenes Ellinas

Two types of the coherent states for two parameter deformed multimode oscillator system are investigated. Moreover, two parameter deformed $gl(n)$ algebra and deformed symmetric states are constructed.

q-alg · Mathematics 2009-10-30 W-S. Chung

We study the dissipative dynamics of deformed coherent states superposition. We find that such kind of superposition can be more robust against decoherence than the usual Schrodinger cat states.

Quantum Physics · Physics 2009-11-07 Stefano Mancini , Vladimir I. Man'ko

We study the possibility of exploiting superpositions of coherent states to encode qubit. A comparison between the use of deformed and undeformed bosonic algebra is made in connection with the amplitude damping errors.

Quantum Physics · Physics 2009-11-07 Stefano Mancini , Vladimir I. Man'ko

The intelligent states associated with the suq (1,1) and suq (2) q-deformed Lie algebra are investigated. The eigenvalue problem is also discussed.

Quantum Physics · Physics 2020-07-22 Mohamed Taha Rouabah , Nouredinne Mebarki , Mohamed Farouk Ghiti

We introduce a generalized class of states called K-quantum nonlinear coherent states. Each K-state has K j-components corresponding to one and the same eigenvalue. Each Kj-component can be composed of K K=1-states in a correlated manner.…

Quantum Physics · Physics 2007-05-23 Nguyen Ba An

This talk reports on work aimed at improving our understanding of charged states in gauge theories.Emphasis is placed on different ways of implementingthe gauge invariance of physical states. QED perturbative calculations are used to stress…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Bagan , M. Lavelle , D. McMullan , B. Fiol , N. Roy

We discuss how a q-mutation relation can be deformed replacing a pair of conjugate operators with two other and unrelated operators, as it is done in the construction of pseudo-fermions, pseudo-bosons and truncated pseudo-bosons. This…

Mathematical Physics · Physics 2017-07-05 Fabio Bagarello

We provide a unified approach for finding the coherent states of various deformed algebras, including quadratic, Higgs and q-deformed algebras, which are relevant for many physical problems. For the non-compact cases, coherent states, which…

Quantum Physics · Physics 2007-05-23 V. Sunilkumar , B. A. Bambah , P. K. Panigrahi , V. Srinivasan
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