Periodic thermodynamics of isolated systems

Abstract

The nature of the behaviour of an isolated many-body quantum system periodically driven in time has been an open question since the beginning of quantum mechanics. After an initial transient, such a system is known to synchronize with the driving; in contrast to the non-driven case, no fundamental principle has been proposed for constructing the resulting non-equilibrium state. Here, we analytically show that, for a class of integrable systems, the relevant ensemble is constructed by maximizing an appropriately defined entropy subject to constraints, which we explicitly identify. This result constitutes a generalisation of the concepts of equilibrium statistical mechanics to a class of far-from-equilibrium-systems, up to now mainly accessible using ad-hoc methods.

References in corpus (8)

• Thermalization and its mechanism for generic isolated quantum systems
• Quantum Quench in the Transverse Field Ising Chain
• Foundation of Statistical Mechanics under experimentally realistic conditions
• Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
• Exploring dynamic localization with a Bose-Einstein condensate
• Universal properties of hard-core bosons confined on one-dimensional lattices
• Free expansion of impenetrable bosons on one-dimensional optical lattices
• Trap modulation spectroscopy of the Mott-insulator transition in optical lattices

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