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Thursday, November 05, 2015
12:30 PM - 1:30 PM
T-DO Conference Room

Quantum Lunch

UPDATED TIME: Nonequilibrium potential and fluctuation theorems for quantum maps

Jordan Horowitz
Massachusetts Institute of Technology

Completely-positive, trace-preserving (CPTP) quantum maps capture a vast diversity of quantum dynamical evolutions, including arbitrary open-system dynamics, such as decoherence, measurement, and thermal relaxation. Consequently, the thermodynamic analysis of processes described by CPTP maps is a major issue in the development of quantum thermodynamics. One of the main tools for such thermodynamic analysis are fluctuation theorems, since they reveal statistical properties of thermodynamic quantities. In this talk, I will introduce and examine a general fluctuation theorem for a large class of CPTP maps based on a generalized detailed balance relation. This result provides a unifying framework that includes many previous quantum fluctuation theorems as special cases; as a consequence, it clarifies the minimal hypothesis needed to derive a fluctuation theorem for quantum maps. I will conclude with applications.

Host: Sebastian Deffner