Dresden 2014 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 83: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems I

TT 83.3: Talk

Thursday, April 3, 2014, 10:15–10:30, HSZ 03

Finite-size scaling of eigenstate thermalization — •Wouter Beugeling, Roderich Moessner, and Masud Haque — Max-Planck-Institut für Physik komplexer Systeme, Dresden, Germany

According to the eigenstate thermalization hypothesis (ETH), even isolated quantum systems can thermalize because the eigenstate-to-eigenstate fluctuations of typical observables vanish in the limit of large systems. Since isolated systems are by nature finite, the finite-size scaling of such fluctuations is a central aspect of the ETH. We propose that for generic non-integrable systems these fluctuations scale with a universal power law in the dimension of the Hilbert space. We present extensive multiple-system numerical evidence for this scaling law and provide supporting arguments. We also show how the scaling changes when approaching integrability.