Wehrl entropy of entangled Segal-Bargmann oscillators
- URL: http://arxiv.org/abs/2210.08253v1
- Date: Sat, 15 Oct 2022 10:34:36 GMT
- Title: Wehrl entropy of entangled Segal-Bargmann oscillators
- Authors: David Alonso L\'opez, Jose A. R. Cembranos, David D\'iaz-Guerra and
Andr\'es M\'inguez S\'anchez
- Abstract summary: We focus on a system of two coupled oscillators described within its Segal-Bargmann space.
Stone-von Neumann theorem allows us to work in this space in a correspondence with the ladder operators formalism.
Husimi pseudoprobability distribution is directly computed within the Segal-Bargmann formalism.
- Score: 0.9558392439655015
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this manuscript we study the Wehrl entropy of entangled oscillators. This
semiclassical entropy associated with the phase-space description of quantum
mechanics can be used for formulating uncertainty relations and for a
quantification of entanglement. We focus on a system of two coupled oscillators
described within its Segal-Bargmann space. This Hilbert space of holomorphic
functions integrable with respect to a given Gaussian-like measure is
particularly convenient to deal with harmonic oscillators. Indeed, the
Stone-von Neumann theorem allows us to work in this space in a full
correspondence with the ladder operators formalism. In addition, the Husimi
pseudoprobability distribution is directly computed within the Segal-Bargmann
formalism. Once we obtain the Husimi function, we analyze the Wehrl entropy and
mutual information.
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