Universal energy fluctuations in thermally isolated driven systems

Details Universal energy fluctuations in thermally isolated driven systems Universal energy fluctuations in thermally isolated driven systems

2011-02-08

arxiv.org/abs/1102.1735v2

Nature Physics 7, 913-917 (2011)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1038/nphys2057

When an isolated system is brought in contact with a heat bath its final energy is random and follows the Gibbs distribution -- a cornerstone of statistical physics. The system's energy can also be changed by performing non-adiabatic work using a cyclic process. Almost nothing is known about the resulting energy distribution in this setup, which is especially relevant to recent experimental progress in cold atoms, ions traps, superconducting qubits and other systems. Here we show that when the non-adiabatic process comprises of many repeated cyclic processes the resulting energy distribution is universal and different from the Gibbs ensemble. We predict the existence of two qualitatively different regimes with a continuous second order like transition between them. We illustrate our approach performing explicit calculations for both interacting and non-interacting systems.

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