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Quantumness and separability criteria for continuous variable systems are discussed for the case of a noncommutative (NC) phase-space. In particular, the quantum nature and the entanglement configuration of NC two-mode Gaussian states are…

Quantum Physics · Physics 2015-10-13 Alex E. Bernardini , Catarina Bastos , Orfeu Bertolami , Nuno C. Dias , João N. Prata

Gazeau-Klauder coherent states in noncommutative quantum mechanics are considered. We find that these states share similar properties to those of ordinary canonical coherent states in the sense that they saturate the related position…

High Energy Physics - Theory · Physics 2015-05-13 J Ben Geloun , F G Scholtz

We further elaborate on a phase-space picture for a system of $N$ qubits and explore the structures compatible with the notion of unbiasedness. These consist of bundles of discrete curves satisfying certain additional properties and…

Quantum Physics · Physics 2017-06-14 C. Munoz , A. B. Klimov , L. L. Sanchez-Soto

In papers by Lynch [Phys. Rev. A41, 2841 (1990)] and Gerry and Urbanski [Phys. Rev. A42, 662 (1990)] it has been argued that the phase-fluctuation laser experiments of Gerhardt, B\"uchler and Lifkin [Phys. Lett. 49A, 119 (1974)] are in good…

Quantum Physics · Physics 2015-06-26 Bo-Sture K. Skagerstam , Bjorn A. Bergsjordet

We compare the Pegg-Barnett (PB) formalism with the covariant phase observable approach to the problem of quantum phase and show that PB-formalism gives essentially the same results as the canonical (covariant) phase observable. We also…

Quantum Physics · Physics 2010-10-19 Pekka Lahti , Juha-Pekka Pellonpaa

A brief summary of the application of coherent states in the examination of quantum dynamics of cosmological models is given. We discuss quantization maps, phase space probability distributions and semiclassical phase spaces. The…

General Relativity and Quantum Cosmology · Physics 2015-12-15 Przemyslaw Malkiewicz

We use coherent states as trial states for a variational approach to study a system of a finite number of three-level atoms interacting in a dipolar approximation with a one-mode electromagnetic field. The atoms are treated as…

Quantum Physics · Physics 2018-06-20 L. F. Quezada , E. Nahmad-Achar

A general algebraic procedure for constructing coherent states of a wide class of exactly solvable potentials e.g., Morse and P{\"o}schl-Teller, is given. The method, {\it a priori}, is potential independent and connects with earlier…

Quantum Physics · Physics 2009-11-10 T. Shreecharan , Prasanta K. Panigrahi , J. Banerji

In this doctoral thesis we have studied the quantum properties of several models which have been classified as statical and dynamical systems. The first part has been devoted to investigate the properties of the statical models including…

Quantum Physics · Physics 2011-08-25 Faisal Aly Aly El-Orany

We consider various approaches to treat the phases of a qutrit. Although it is possible to represent qutrits in a convenient geometrical manner by resorting to a generalization of the Poincare sphere, we argue that the appropriate way of…

Quantum Physics · Physics 2009-11-10 A. B. Klimov , L. L. Sanchez-Soto , H. de Guise , G. Bjork

Quantum states with nonlinear squeezing are a necessary resource for deterministic implementation of high-order quadrature phase gates that are, in turn, sufficient for advanced quantum information processing. We demonstrate that this class…

Quantum Physics · Physics 2021-07-15 Šimon Bräuer , Petr Marek

Spin coherent states play a crucial role in defining QESM (quasi-exactly solvable models) establishing a strict correspondence between energy spectra of spin systems and low-lying quantum states for a particle moving in a potential field of…

Quantum Physics · Physics 2007-05-23 V. V. Ulyanov , O. B. Zaslavskii

This study targets quantum phases which are characterized by topological properties and no associated with the symmetry breaking. We concern ourselves primarily with the transitions among these quantum phases. This type of quantum phase…

General Physics · Physics 2013-07-15 Izumi Tanaka

In this paper we present a study of the quantum phase estimation problem employing continuous-variable, entangled squeezed coherent (quasi-Bell) states as probe states. We show that their inherent squeezing and entanglement properties might…

Quantum Physics · Physics 2022-11-01 Douglas Delgado de Souza , A. Vidiella-Barranco

In this work, we construct different classes of coherent states related to a quantum system, recently studied in [1], of an electron moving in a plane in uniform external magnetic and electric fields which possesses both discrete and…

Quantum Physics · Physics 2021-12-22 Isiaka Aremua , Laure Gouba

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

In the paper we investigate the theory of quantum optical systems. As an application we integrate and describe the quantum optical systems which are generically related to the classical orthogonal polynomials. The family of coherent states…

Mathematical Physics · Physics 2014-11-03 Maciej Horowski , Anatol Odzijewicz , Agnieszka Tereszkiewicz

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

Quantum versions of cylindric phase space, like for the motion of a particle on the circle, are obtained through different families of coherent states. The latter are built from various probability distributions of the action variable. The…

Quantum Physics · Physics 2015-06-03 I. Aremua , J. P. Gazeau , M. N. Hounkonnou

Coherent states, and the Hilbert space representations they generate, provide ideal tools to discuss classical/quantum relationships. In this paper we analyze three separate classical/quantum problems using coherent states, and show that…

Quantum Physics · Physics 2015-05-19 John R. Klauder