Erlangen 2018 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 24: Quantum Information (Solid State Systems)

Q 24.6: Talk

Monday, March 5, 2018, 17:30–17:45, K 1.020

What it takes to shun equilibration — •Rodrigo Gallego¹, Henrik Wilming¹, Jens Eisert¹, and Christian Gogolin² — ¹Dahlem Center for Complex Quantum Systems, Freie Universitat Berlin, 14195 Berlin, Germany — ²ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain

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 show, under natural assumptions, that in order to increase the resilience against equilibration of a given system, one needs to possess a resource system which itself has a large resilience. In this way, we establish a new 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 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.