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Research Training Group GRK1558:Nonequilibrium Collective Dynamics inCondensed Matter and Biological Systems
We cordially invite to the
Seminar of GRK1558
Thu. November 1, 2012 · 14.15h · EW 731 · TU Berlin
Dr. Sam GenwayUniversity of Nottingham
“Dynamical Phases, Full Counting Statistics and the’s-ensemble’l”
ABSTRACTRecent progress in the study of dynamical phase transitions has been made with a large-deviationapproach to study trajectories of stochastic jumps. We present a thermodynamic formalism whichtreats the statistics of dynamical trajectories in the same way equilibrium statistical mechanics treatsstatistical ensembles of congurations. We discuss this method applied to an open quantum systemconsisting of a superconducting single-electron transistor, near the Josephson quasiparticle resonance,coupled to a resonator. We find that the dynamical phase diagram can be related to the appearanceand disappearance of bistabilities in the state of the resonator as system parameters are changed.Next we discuss how the formalism can be extended to fully-coherent dynamics, applying the methodto the full counting statistics (FCS) of quantum transport through a quantum dot via the resonant-level model. We explore the state of the quantum dot in different dynamical phases and find it givesinsights into fluctuations. We further demonstrate that FCS can be inferred from measurements ofthe average current across parameter space. Finally, we investigate dynamical phase transitions ina closed quantum system: the transverse-field Ising model. Taking time-integrated observables asappropriate order parameters, we show there is a continuous line of quantum dynamical transitions ofwhich the static transitions are just single points. We describe how such transitions can be accessedgenerically through the quantum-jump statistics of an associated open quantum system.
Prof.Dr. Holger StarkChairman of GRK 1558www.itp.tu-berlin.de/grk1558
Contact:
Jan-Timm [email protected]
Technische Universitat Berlin · EW-Building · Hardenbergstraße 36 · 10623 Berlin
