Entanglement dynamics of spins using a few complex trajectories
- URL: http://arxiv.org/abs/2108.06021v1
- Date: Fri, 13 Aug 2021 01:44:24 GMT
- Title: Entanglement dynamics of spins using a few complex trajectories
- Authors: Matheus V. Scherer and Alexandre D. Ribeiro
- Abstract summary: We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics.
We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
- Score: 77.34726150561087
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this work, we consider two spins initially prepared in a product of
coherent states and study their entanglement dynamics due to a general
interacting Hamiltonian. We adopt an approach that allowed the derivation of a
semiclassical formula for the linear entropy of the reduced density operator,
assumed as an entanglement quantifier. The resulting expression depends on sets
of four trajectories, originated from the underlying classical description, and
having mutually connected final phase-space points. Such classical elements,
which are capable to reproduce the quantum entanglement even for long values of
propagation time, arise when we assume a proper analytical continuation of the
classical phase space onto a complex domain. We apply this theory to a
particular physical system, showing that taking into account only a few sets of
complex trajectories is enough to get an excellent agreement between the
semiclassical linear entropy of the reduced density operator and its quantum
counterpart.
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