Reduced Dynamics of Full Counting Statistics

Abstract

We present a theory of modified reduced dynamics in the presence of counting fields. Reduced dynamics techniques are useful for describing open quantum systems at long emergent timescales when the memory timescales are short. However, they can be difficult to formulate for observables spanning the system and its environment, such as those characterizing transport properties. A large variety of mixed system--environment observables, as well as their statistical properties, can be evaluated by considering counting fields. Given a numerical method able to simulate the field-modified dynamics over the memory timescale, we show that the long-lived full counting statistics can be efficiently obtained from the reduced dynamics. We demonstrate the utility of the technique by computing the long-time current in the nonequilibrium Anderson impurity model from short-time Monte Carlo simulations.

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Cited by in corpus (6)

• Transient dynamical phase diagram of the spin-boson model
• Capturing long-range memory structures with tree-geometry process tensors
• Extracting Dynamical Maps of Non-Markovian Open Quantum Systems
• Compact representation and long-time extrapolation of real-time data for quantum systems using the ESPRIT algorithm
• Transient Dynamical Phase Diagram of the Spin-Boson Model at Finite Temperature
• Photon-resolved Floquet theory approach to spectroscopic quantum sensing