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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

A state in a d-dimensional Hilbert space can be simulated by a state defined in a different dimension with high fidelity. We assess how faithfully such the approximated state can perform quantum protocols, using an example of the squeezed…

Quantum Physics · Physics 2009-11-13 Petr Marek , M. S. Kim

Squeezed number states for a single mode Hamiltonian are investigated from two complementary points of view. Firstly the more relevant features of their photon distribution are discussed using the WKB wave functions. In particular the…

Quantum Physics · Physics 2009-11-10 D. F. Mundarain , J. Stephany

The primary aim of the present paper is to attract the attention of particle physicists to new developments in studying squeezed and correlated states of the electromagnetic field as well as of those working on the latest topic to new…

High Energy Physics - Phenomenology · Physics 2019-08-17 V. V. Dodonov , I. M. Dremin , O. V. Man'ko , V. I. Man'ko , P. G. Polynkin

In this paper, we study some quantum properties of a superposition of displaced squeezed two-mode vacuum and single-photon states, such as the second-order correlation function, the Cauchy-Schwartz inequality, quadrature squeezing,…

Quantum Physics · Physics 2009-11-13 Faisal A. A. El-Orany , A-S. F. Obada , Zafer M. Asker , J. Perina

We investigate the quantum properties of superpositions of oppositely squeezed states, which can be regarded as Schrodinger cat states. Compared with conventional coherent-state cat states, these states exhibit distinct photon-number…

Quantum Physics · Physics 2025-11-06 Hiroo Azuma , William J. Munro , Kae Nemoto

The photon distribution function of a discrete series of excitations of squeezed coherent states is given explicitly in terms of Hermite polynomials of two variables. The Wigner and the coherent-state quasiprobabilities are also presented…

Quantum Physics · Physics 2009-10-30 Vladimir I. Man'ko , Alfred Wünsche

A new class of states of light is introduced that is complementary to the well-known squeezed states. The construction is based on the general solution of the three-term recurrence relation that arises from the saturation of the…

Quantum Physics · Physics 2021-05-25 Kevin Zelaya , Véronique Hussin , Oscar Rosas-Ortiz

We investigate superpositions of two-mode squeezed states (TMSSs), which have potential applications to quantum information processing and quantum sensing. Firstly we study some properties of these nonclassical states such as the statistics…

We study the application of squeezed states in a quantum optical scheme for direct sampling of the phase space by photon counting. We prove that the detection setup with a squeezed coherent probe field is equivalent to the probing of the…

Optics · Physics 2015-06-26 Konrad Banaszek , Krzysztof Wodkiewicz

We investigate the presence of spin- and planar- squeezing in generalized superpositions of atomic (or spin) coherent states (ACS). Spin-squeezing has been shown to be a useful tool in determining the presence of entanglement in…

In these notes, we discuss squeezed states using the elementary quantum language based on one-dimensional Schr\"odinger equation. No operators are used. The language of quantum optics is mentioned only for a hint to solve a differential…

Quantum Physics · Physics 2018-09-25 Alexander N. Korotkov

Quantisation with Gaussian type states offers certain advantages over other quantisation schemes, in particular, they can serve to regularise formally discontinuous classical functions leading to well defined quantum operators. In this work…

Quantum Physics · Physics 2022-05-25 Jean-Pierre Gazeau , Véronique Hussin , James Moran , Kevin Zelaya

The squeezed state of the electromagnetic field can be generated in many nonlinear optical processes and finds a wide range of applications in quantum information processing and quantum metrology. This article reviews the basic properties…

Quantum Physics · Physics 2016-07-29 A. I. Lvovsky

We compute the photon number distribution, the Q distribution function and the wave functions in the momentum and position representation for a single mode squeezed number state using generating functions which allow to obtain any matrix…

Quantum Physics · Physics 2018-02-14 L. Albano , D. F. Mundarain , J. Stephany

In a new branch of quantum computing, information is encoded into coherent states, the primary carriers of optical communication. To exploit it, quantum bits of these coherent states are needed, but it is notoriously hard to make…

We have examined both single and entangled two-mode multiphoton coherent states and shown how the `Janus-faced' properties between two partner states are mirrored in appropriate tomograms. Entropic squeezing, quadrature squeezing and…

Quantum Physics · Physics 2018-05-23 Pradip Laha , S Lakshmibala , V Balakrishnan

We show how discrete squeezed states in an $N^{2}$-dimensional phase space can be properly constructed out of the finite-dimensional context. Such discrete extensions are then applied to the framework of quantum tomography and quantum…

Quantum Physics · Physics 2011-11-09 Marcelo A. Marchiolli , Maurizio Ruzzi , Diogenes Galetti

This paper develops a method of manipulating the squeezed atom state to generate a few-photon state whose phase or photon-number fluctuations are prescribed at our disposal. The squeezed atom state is a collective atomic state whose quantum…

Quantum Physics · Physics 2009-10-31 Hiroki Saito , Masahito Ueda

We use the generalized squeezed state description in the framework of the Ginzburg-Landau theory. Multiplicity distributions of the squeezed states are studied at second-order phase transition at different squeeze factors. It is shown that…

High Energy Physics - Phenomenology · Physics 2011-08-11 L. F. Babichev , A. A. Bukach , V. I. Kuvshinov , V. A. Shaparau
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