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Considering some important classes of generalized coherent states known in literature, we demonstrated that all of them can be created via conventional fashion, i.e. the "lowering operator eigen-state" and the "displacement operator"…

Quantum Physics · Physics 2007-05-23 R. Roknizadeh , M. K. Tavassoly

Following the lines of the recent papers [J. Phys. A: Math. Theor. 44, 495201 (2012); Eur. Phys. J. D 67, 179 (2013)], we construct here a new class of generalized coherent states related to the Landau levels, which can be used as the…

Quantum Physics · Physics 2014-04-17 A. Dehghani , B. Mojaveri

Collective spin operators for symmetric multi-quDit (namely, identical $D$-level atom) systems generate a U$(D)$ symmetry. We explore generalizations to arbitrary $D$ of SU(2)-spin coherent states and their adaptation to parity…

Quantum Physics · Physics 2021-11-30 Manuel Calixto , Alberto Mayorgas , Julio Guerrero

In this work, we construct coherent states for electrons in anisotropic 2D Dirac materials immersed in a uniform magnetic field perpendicularly oriented to the sample. In order to describe the bidimensional effects on electron dynamics in a…

Quantum Physics · Physics 2020-02-25 Erik Díaz-Bautista , Maurice Oliva-Leyva , Yajaira Concha-Sánchez , Alfredo Raya

In this parer, q-deformed oscillator for pseudo-Hermitian systems is investigated and pseudo-Hermitian appropriate coherent and squeezed states are studied. Also, some basic properties of these states is surveyed. The over-completeness…

Mathematical Physics · Physics 2011-09-26 Yusef Maleki

We construct the coherent states of general order, $m$ for the ladder operators, $c(m)$ and $c^\dagger(m)$, which act on rational deformations of the harmonic oscillator. The position wavefunctions of the eigenvectors involve type III…

Mathematical Physics · Physics 2019-02-18 Scott E. Hoffmann , Véronique Hussin , Ian Marquette , Yao-Zhong Zhang

A class of squeezed states for the su(1,1) algebra is found and expressed by the exponential and Laguerre-polynomial operators acting on the vacuum states. As a special case it is proved that the Perelomov's coherent state is a…

Quantum Physics · Physics 2009-10-30 Hong-Chen Fu , Ryu Sasaki

In the framework of Lindblad theory for open quantum systems, we calculate the entropy of a damped quantum harmonic oscillator which is initially in a quasi-free state. The maximally predictable states are identified as those states…

Quantum Physics · Physics 2016-09-08 Gh. -S. Paraoanu

We construct a displacement operator type nonlinear coherent state and examine some of its properties. In particular it is shown that this nonlinear coherent state exhibits nonclassical properties like squeezing and sub-Poissonian…

Quantum Physics · Physics 2009-11-06 B. Roy , P. Roy

In this work, we consider a propagating scalar field on Kaluza-Klein-type cosmological background. It is shown that this geometrical description of the Universe resembles - from a Hamiltonian standpoint - a damped harmonic oscillator with…

General Relativity and Quantum Cosmology · Physics 2024-09-23 A. S. Lemos , A. S. Pereira , F. A. Brito , Joao R. L. Santos

In this paper we treat coherent-squeezed states of Fock space once more and study some basic properties of them from a geometrical point of view. Since the set of coherent-squeezed states $\{\ket{\alpha, \beta}\ |\ \alpha, \beta \in…

Quantum Physics · Physics 2014-05-22 Kazuyuki Fujii , Hiroshi Oike

We introduce the nonlinear spin coherent state via its ladder operator formalism and propose a type of nonlinear spin coherent state by the nonlinear time evolution of spin coherent states. By a new version of spectroscopic squeezing…

Quantum Physics · Physics 2009-11-07 Xiaoguang Wang

We provide an explicit construction of entangled states in a noncommutative space with nonclassical states, particularly with the squeezed states. Noncommutative systems are found to be more entangled than the usual quantum mechanical…

Quantum Physics · Physics 2015-06-18 Sanjib Dey , Véronique Hussin

With the successes of the Laser Interferometer Gravitational-wave Observatory, we anticipate increased interest in working with squeezed states in the undergraduate and graduate quantum-mechanics classroom. Because squeezed-coherent states…

Quantum Physics · Physics 2021-09-01 Eduardo Munguia-Gonzalez , Sheldon Rego , J. K. Freericks

Using the formalism of Maya diagrams and ladder operators, we describe the algebra of annihilating operators for the class of rational extensions of the harmonic oscillators. This allows us to construct the corresponding coherent state in…

Mathematical Physics · Physics 2020-09-30 Zoé McIntyre , Robert Milson

Some popular mechanisms for restricting the diffusion of waves include introducing disorder (to provoke Anderson localization) and engineering topologically non-trivial phases (to allow for topological edge states to form). However, other…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 C. A. Downing , L. Martín-Moreno , O. I. R. Fox

Harmonic oscillator coherent states are well known to be the analogue of classical states. On the other hand, nonlinear and generalised coherent states may possess nonclassical properties. In this article, we study the nonclassical…

Quantum Physics · Physics 2016-06-02 Anaelle Hertz , Sanjib Dey , Véronique Hussin , Hichem Eleuch

We propose an efficient approach to generate the superposed macroscopically squeezed states with enhanced squeezing in a two-mode optomechanical system. This can be achieved by introducing a sinusoidal modulation to either the cavity…

Quantum Physics · Physics 2019-05-15 Sai-Nan Huai , Wei Nie , Yun-bo Zhang , Yu-xi Liu

Using the modified factorization method employed by Mielnik for the harmonic oscillator, we show that isospectral structures associated with a second order operator $H$, can always be constructed whenever $H$ could be factored, or exist…

Quantum Physics · Physics 2007-05-23 A. Pérez-Lorenzana

The Schwinger oscillator operator representation of SU(3), studied in a previous paper from the representation theory point of view, is analysed to discuss the intimate relationships between standard oscillator coherent state systems and…

Quantum Physics · Physics 2009-11-07 S. Chaturvedi , N. Mukunda