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The marginal distribution of squeezed, rotated and shifted quadrature for two types of nonclassical states of a trapped ion - squeezed correlated states and squeezed even and odd coherent states (squeezed Schrodinger cat states) - is…

量子物理 · 物理学 2019-03-06 O. V. Man'ko

Squeezed and rotated quadrature of an ion in a Paul trap is discussed in connection with reconstructing its quantum state using symplectic-tomography method. Marginal distributions of the quadrature for squeezed and correlated states and…

量子物理 · 物理学 2019-03-05 O. V. Man'ko

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…

高能物理 - 唯象学 · 物理学 2019-08-17 V. V. Dodonov , I. M. Dremin , O. V. Man'ko , V. I. Man'ko , P. G. Polynkin

We consider a resonant bichromatic excitation of N trapped ions that generates displacement and squeezing in their collective motion conditioned to their ionic internal state, producing eventually Scrhodinger cat states and entangled…

量子物理 · 物理学 2009-11-07 E. Solano , R. L. de Matos Filho , N. Zagury

Particle distributions in squeezed states, even and odd coherent states are given in terms of multivariable Hermite polynomials. The Q--function and Wigner function for nonclassical field states are discussed.

量子物理 · 物理学 2016-09-08 V. I. Man'ko

We show that the motion of a cold trapped ion can be squeezed by modulating the intensity of a phase-stable optical lattice placed inside the trap. As this method is reversible and state selective it effectively implements a…

Trapped ion systems present non-classical characteristics such as squeezed states that show a quantum advantage in quantum sensing, quantum information processing and quantum thermodynamics. We analyze the non-classical characteristics of a…

量子物理 · 物理学 2025-04-30 C. F. P. Avalos , M. C. de Oliveira

A completely analytic description is given of the motion of a trapped ion which is in either an even or an odd squeezed state. Comparison is made to recent results on the even or odd coherent states, and possible experimental work is…

atom-ph · 物理学 2009-10-28 Michael Martin Nieto

The time evolution of even and odd squeezed states, as well as that of squeezed number states, has been given in simple, analytic form. This follows experimental work on trapped ions which has demonstrated even and odd coherent states,…

量子物理 · 物理学 2007-05-23 Michael Martin Nieto

Within the framework of the probability representation of quantum mechanics, we study a superposition of generic Gaussian states associated to symmetries of a regular polygon of n sides; in other words, the cyclic groups (containing the…

量子物理 · 物理学 2022-03-16 Julio A. López-Saldívar , Vladimir I. Man'ko , Margarita A. Man'ko

The dynamical equation of quantum mechanics are rewritten in form of dynamical equations for the measurable, positive marginal distribution of the shifted, rotated and squeezed quadrature introduced in the so called "symplectic tomography".…

量子物理 · 物理学 2009-10-30 Stefano Mancini , Vladimir I. Man'ko , Paolo Tombesi

We study the nonclassicality of the evolution of a superposition of an arbitrary number of photon-added squeezed coherent Schr\"{o}dinger cat states in a nonlinear Kerr medium. The nonlinearity of the medium gives rise to the periodicities…

量子物理 · 物理学 2017-10-11 R. Chakrabarti , V. Yogesh

In a setting of noncommutative space with minimal length we confirm the general assertion that the more nonclassical an input state for a beam splitter is, the more entangled its output state becomes. By analysing various nonclassical…

量子物理 · 物理学 2017-01-17 Sanjib Dey , Andreas Fring , Véronique Hussin

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…

量子物理 · 物理学 2015-02-18 Sanjib Dey

Quasiclassical dynamics of trapped ions is characterized by applying the time dependent variational principle (TDVP) on coherent state orbits, in case of quadrupole and octupole combined (Paul and Penning) and radiofrequency (RF) traps. A…

量子物理 · 物理学 2017-11-23 Bogdan M. Mihalcea

We apply wave packet methods to study an ion-trap system in the strong excitation regime imposing neither the rotating wave nor the Lamb-Dicke approximations. By this approach we show the existence of states with restricted phase space…

量子物理 · 物理学 2009-11-13 Dong Wang , Tony Hansson , Asa Larson , Hans O. Karlsson , Jonas Larson

Squeezed Schr\"odinger cat states are a valuable resource for quantum error correction and quantum computing. In this paper, we investigate the gate for generating such states in the optical regime. Our scheme is based on the entanglement…

量子物理 · 物理学 2025-04-28 A. V. Baeva , A. S. Losev , I. V. Sokolov

We construct semiclassical solutions of the symplectically covariant Schroedinger phase-space equation rigorously studied in a previous paper; we use for this purpose an adaptation of Littlejohn's nearby-orbit method. We take the…

量子物理 · 物理学 2007-05-23 Maurice de Gosson , Serge de Gosson

We theoretically investigate prospects for the creation of nonclassical spin states in trapped ion arrays by coupling to a squeezed state of the collective motion of the ions. The correlations of the generated spin states can be tailored…

量子物理 · 物理学 2024-03-21 R. J. Lewis-Swan , J. C. Zuñiga Castro , D. Barberena , A. M. Rey

We report on quantum simulations of relativistic scattering dynamics using trapped ions. The simulated state of a scattering particle is encoded in both the electronic and vibrational state of an ion, representing the discrete and…

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