TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.13.2.027
TI  - Reduced Dynamics of Full Counting Statistics
PY  - 2022/08/18
UR  - https://scipost.org/SciPostPhys.13.2.027
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 13
IS  - 2
SP  - 027
A1  - Pollock, Felix A.
AU  - Gull, Emanuel
AU  - Modi, Kavan
AU  - Cohen, Guy
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.13.2.027,
	title={{Reduced Dynamics of Full Counting Statistics}},
	author={Felix A. Pollock and Emanuel Gull and K. Modi and Guy Cohen},
	journal={SciPost Phys.},
	volume={13},
	pages={027},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.13.2.027},
	url={https://scipost.org/10.21468/SciPostPhys.13.2.027},
}