Work

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

Year: 2021
Type: article
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.
Source: Entropy
Authors: Giovani E. Morales-Hernández, Juan C. Castellanos, José L. Romero, Andrei B. Klimov
Language: English
Open Access status: gold
Estimated APC paid: $1,944
OpenAlex ID: W3164455293
FWCI: 0.202
Cites: 78
Cited by: 2
Related to: