Quasiprobability distribution of work in the quantum Ising model
- URL: http://arxiv.org/abs/2302.11255v3
- Date: Mon, 19 Jun 2023 06:13:11 GMT
- Title: Quasiprobability distribution of work in the quantum Ising model
- Authors: Gianluca Francica, Luca Dell'Anna
- Abstract summary: We try to clarify the genuinely quantum features of the process by studying the work quasiprobability for an Ising model in a transverse field.
We examine the critical features related to a quantum phase transition and the role of the initial quantum coherence as useful resource.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: A complete understanding of the statistics of the work done by quenching a
parameter of a quantum many-body system is still lacking in the presence of an
initial quantum coherence in the energy basis. In this case, the work can be
represented by a class of quasiprobability distributions. Here, we try to
clarify the genuinely quantum features of the process by studying the work
quasiprobability for an Ising model in a transverse field. We consider both a
global and a local quench, by focusing mainly on the thermodynamic limit. We
find that, while for a global quench there is a symmetric non-contextual
representation with a Gaussian probability distribution of work, for a local
quench we can get quantum contextuality as signaled by a negative fourth moment
of the work. Furthermore, we examine the critical features related to a quantum
phase transition and the role of the initial quantum coherence as useful
resource.
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