Large deviations and cMPS in open quantum dynamics
Large deviations and cMPS in open quantum dynamics
- Date: Jun 6, 2019
- Time: 11:30 AM (Local Time Germany)
- Speaker: Prof. Juan Garrahan
- School of Physics and Astronomy, University of Nottingham, UK
- Location: Max-Planck-Institut für Quantenoptik
- Room: B2.46
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.