Statistical mechanics of time-periodic quantum systems [Elektronische Ressource] / vorgelegt von Waltraut Wustmann

Statistical mechanics oftime-periodic quantum systemsDissertationzur Erlangung des akademischen GradesDoctor rerum naturaliumvorgelegt vonWaltraut Wustmanngeboren am 04.10.1982 in DresdenInstitut fu¨r Theoretische PhysikFachrichtung PhysikFakult¨at fu¨r Mathematik und NaturwissenschaftenTechnische Universit¨at Dresden2010Eingereicht am 3. Februar 20101. Gutachter: Prof. Dr. Roland Ketzmerick2. Gutachter: Prof. Dr. Martin HolthausVerteidigt am 21. Mai 2010AbstractThe asymptotic state of a quantum system, which is in contact with a heat bath, isstrongly disturbed by a time-periodic driving in comparison to a time-independent system.In this thesis an extensive picture of the asymptotic state of time-periodic quantum sys-tems is drawn by relating it to the structure of the corresponding classical phase space.To this end the occupation probabilities of the Floquet states are analyzed with respect totheir semiclassical property of being either regular or chaotic. The regular Floquet statesreg−β E −βEeffare occupied with exponential weights e similar to the canonical weights e ofregtime-independent systems. The regular energies E are defined by the quantization of thetime-periodic system, whose classical properties also determine the effective temperature1/β . Incontrast, the chaotic Floquet states acquire almost equal probabilities, irrespectiveeffoftheir time-averaged energy.