TWA versus semiclassical unitary approximation for spin-like systems

We analyze the stable and unstable evolution of spin-like systems in the framework of the Truncated Wigner and Unitary Approximations, and test the dependence of the time scale where the classical evolution determines the dynamics of a quantum system on the semiclassical parameter. •Semiclassical un...

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Veröffentlicht in:Annals of physics 2017-08, Vol.383, p.620-634
Hauptverfasser: Valtierra, I.F., Romero, J.L., Klimov, A.B.
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creator Valtierra, I.F.
Romero, J.L.
Klimov, A.B.
description We analyze the stable and unstable evolution of spin-like systems in the framework of the Truncated Wigner and Unitary Approximations, and test the dependence of the time scale where the classical evolution determines the dynamics of a quantum system on the semiclassical parameter. •Semiclassical unitary approach (SUA) is applied for analysis of large-spin dynamics.•Stable and unstable evolution of spin systems in the semiclassical limit is discussed.•A comparative analysis of SUA and Truncated Wigner Approximation is performed.
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subjects CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
MATHEMATICAL EVOLUTION
PHASE SPACE
Phase space representation
QUANTUM SYSTEMS
SEMICLASSICAL APPROXIMATION
Semiclassical methods
SPIN
Wigner function
title TWA versus semiclassical unitary approximation for spin-like systems
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