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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