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      Semi-Classical Discretization and Long-Time Evolution of Variable Spin Systems

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          Abstract

          We apply the semi-classical limit of the generalized SO(3) map for representation of variable-spin systems in a four-dimensional symplectic manifold and approximate their evolution terms of effective classical dynamics on T*S2 . Using the asymptotic form of the star-product, we manage to “quantize” one of the classical dynamic variables and introduce a discretized version of the Truncated Wigner Approximation (TWA). Two emblematic examples of quantum dynamics (rotor in an external field and two coupled spins) are analyzed, and the results of exact, continuous, and discretized versions of TWA are compared.

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          Communication in the Presence of Noise

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            Quantum Theory of Angular Momentum

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              Coherent states: Theory and some applications

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                Author and article information

                Contributors
                Role: Academic Editor
                Role: Academic Editor
                Journal
                Entropy (Basel)
                Entropy (Basel)
                entropy
                Entropy
                MDPI
                1099-4300
                28 May 2021
                June 2021
                : 23
                : 6
                : 684
                Affiliations
                Departamento de Física, Universidad de Guadalajara, Guadalajara 44420, Jalisco, Mexico; giovani.morales8917@ 123456alumnos.udg.mx (G.E.M.-H.); juan.castellanos@ 123456alumnos.udg.mx (J.C.C.); jose.romero@ 123456cucei.udg.mx (J.L.R.)
                Author notes
                [* ]Correspondence: klimov@ 123456cencar.udg.mx
                Author information
                https://orcid.org/0000-0003-0525-8302
                https://orcid.org/0000-0001-8493-721X
                Article
                entropy-23-00684
                10.3390/e23060684
                8229760
                34071644
                d6af3a6d-2dc5-4b06-9eb0-ba775192010e
                © 2021 by the authors.

                Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( https://creativecommons.org/licenses/by/4.0/).

                History
                : 30 April 2021
                : 25 May 2021
                Categories
                Article

                phase-space,semiclassical evolution,variable spin systems,03.65.ta,03.65.sq,03.65.fd

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