Non-equilibrium Dynamics of Quantum Many Body Systems: Application to Ultracold Atomic Gases

Ray, Sayak (2019) Non-equilibrium Dynamics of Quantum Many Body Systems: Application to Ultracold Atomic Gases. PhD thesis, Indian Institute of Science Education and Research Kolkata.

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Abstract

Theoretical as well as experimental studies on non-equilibrium dynamics of quantum many body systems have drawn a lot of interests over the past few decades. In this thesis we consider ultracold atomic gases to explore different out-of-equilibrium phenomena of interacting many body systems which are presented into two parts namely, the phase transition and non-equilibrium quench dynamics of dissipative quantum system and the dynamics of driven isolated quantum systems. In the former part, we investigate the superfluid-Mott insulator phase transition and quench dynamics of ultracold Rydberg gases in an optical lattice where dissipation arises from the spontaneous decay of the Rydberg excitation. In the later part, we study two distinct phenomena: (i) thermalization in driven isolated quantum systems in the context of periodically kicked Dicke model, (ii) drive induced delocalization of many body localized (MBL) phase of bosons in a quasiperiodoc potential subjected to periodic drive. We elucidate how these phenomenon are connected with the onset of chaotic dynamics and discuss a method to quantify the degree of chaos in driven quantum many body systems using the out-oftime- order-correlator (OTOC). Finally we discuss the experiments relevant to our study and the open directions which can be explored in future investigations.

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