Theory Seminar: Large deviations and cMPS in open quantum dynamics

Juan Garrahan (University of Nottingham)
In this talk I will describe a perspective on the dynamics of Markovian open quantum systems based on the study of the statistical properties of ensembles of quantum trajectories

June 06, 2019

Juan Garrahan (University of Nottingham)
Group Seminar in the theory group seminar room B2.46
Thu 6. June 2019, 11:30 am

Abstract:

In this talk I will describe a perspective on the dynamics of Markovian open quantum systems based on the study of the statistical properties of ensembles of quantum trajectories. This "thermodynamics of quantum trajectories" approach is to dynamics what the standard equilibrium configuration ensemble method is for statics. Just like in the static case in the thermodynamic limit, for long-time dynamics this is based on the formalism of large deviations. I will also describe how many useful results can be derived by considering a formal connection between trajectory ensembles and continuous matrix product states (cMPS). I will go through the main ideas, and discuss applications to problems such as trajectory phase transitions, how to optimally realise rare events, prediction-retrodiction, fluctuation bounds, and catching and reversing quantum jumps.



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