What it takes to avoid equilibration
Gallego R, Wilming H, Eisert J, Gogolin C (2018)
Publication Type: Journal article
Publication year: 2018
Journal
Book Volume: 98
Article Number: 022135
Journal Issue: 2
DOI: 10.1103/PhysRevA.98.022135
Abstract
Numerous works have shown that under mild assumptions, unitary dynamics inevitably leads to equilibration of physical expectation values if many energy eigenstates contribute to the initial state. Here, we consider systems driven by arbitrary time-dependent Hamiltonians as a protocol to prepare systems that do not equilibrate. We introduce a measure of the resilience against equilibration of such states, and we show, under natural assumptions, that in order to increase the resilience against equilibration of a given system, one needs to possess a resource system that itself has a large resilience. In this way, we establish a link between the theory of equilibration and resource theories by quantifying the resilience against equilibration and the resources that are needed to produce it. We connect these findings with insights into local quantum quenches, and we investigate the (im)possibility of formulating a second law of equilibration by studying how resilience can be either only redistributed among subsystems, if these remain completely uncorrelated, or in turn created in a catalytic process if subsystems are allowed to build up some correlations.
Involved external institutions
Freie Universität Berlin
Germany (DE)
Autonomous University of Barcelona (UAB) / Universitat Autònoma de Barcelona
Spain (ES)
Germany (DE)
Autonomous University of Barcelona (UAB) / Universitat Autònoma de Barcelona
Spain (ES)
How to cite
APA:
Gallego, R., Wilming, H., Eisert, J., & Gogolin, C. (2018). What it takes to avoid equilibration. Physical Review A, 98(2). https://doi.org/10.1103/PhysRevA.98.022135
MLA:
Gallego, R., et al. "What it takes to avoid equilibration." Physical Review A 98.2 (2018).
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