Quantum coherence and criticality in irreversible work
- URL: http://arxiv.org/abs/2004.00616v1
- Date: Wed, 1 Apr 2020 17:58:02 GMT
- Title: Quantum coherence and criticality in irreversible work
- Authors: Adalberto D. Varizi, Andr\'e P. Vieira, Cecilia Cormick, Raphael C.
Drumond and Gabriel T. Landi
- Abstract summary: The irreversible work during a driving protocol constitutes one of the most widely studied measures in non-equilibrium thermodynamics.
In quantum systems, it has been shown that the irreversible work has an additional, genuinely quantum mechanical contribution, due to coherence produced by the driving protocol.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The irreversible work during a driving protocol constitutes one of the most
widely studied measures in non-equilibrium thermodynamics, as it constitutes a
proxy for entropy production. In quantum systems, it has been shown that the
irreversible work has an additional, genuinely quantum mechanical contribution,
due to coherence produced by the driving protocol. The goal of this paper is to
explore this contribution in systems that undergo a quantum phase transition.
Substantial effort has been dedicated in recent years to understand the role of
quantum criticality in work protocols. However, practically nothing is known
about how coherence contributes to it. To shed light on this issue, we study
the entropy production in infinitesimal quenches of the one-dimensional XY
model. For quenches in the transverse field, we find that for finite
temperatures the contribution from coherence can, in certain cases, account for
practically all of the entropy production. At low temperatures, however, the
coherence presents a finite cusp at the critical point, whereas the entropy
production diverges logarithmically. Alternatively, if the quench is performed
in the anisotropy parameter, we find that there are situations where all of the
entropy produced is due to quantum coherences.
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