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Open Quantum Systems Decoherence
Quantum Simulation
Semi-Classical Discretization and Long-Time Evolution of Variable Spin Systems
arXiv
Authors: Giovani E. Morales-Hernández, Juan C. Castellanos, José L. Romero, Andrei B. Klimov
Year
2021
Paper ID
62207
Status
Preprint
Abstract Read
~2 min
Abstract Words
92
Citations
N/A
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 Tast mathcal{S}2. 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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- 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...
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