Role of Quantum Information in HEOM Trajectories
Ben S. Humphries, Joshua C. Kinslow, Dale Green, Garth A. Jones
TL;DR
This paper explores how quantum information flows in open systems, helping reduce computational costs while maintaining accuracy.
Contribution
The study introduces a method to truncate hierarchical equations of motion based on information flow analysis.
Findings
ADOs sharing a common Matsubara axis behave similarly.
Truncating hierarchies reduces computation time without losing qualitative accuracy.
Abstract
Open quantum systems often operate in the non-Markovian regime where a finite history of a trajectory is intrinsic to its evolution. The degree of non-Markovianity for a trajectory may be measured in terms of the amount of information flowing from the bath back into the system. In this study, we consider how information flows through the auxiliary density operators (ADOs) in the hierarchical equations of motion. We consider three cases for a range of baths, underdamped, intermediate, and overdamped. By understanding how information flows, we are able to determine the relative importance of different ADOs within the hierarchy. We show that ADOs sharing a common Matsubara axis behave similarly, while ADOs on different Matsubara axes behave differently. Using this knowledge, we are able to truncate hierarchies significantly, thus reducing the computation time, while obtaining qualitatively…
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Taxonomy
TopicsSpectroscopy and Quantum Chemical Studies · Advanced Chemical Physics Studies · Advanced Thermodynamics and Statistical Mechanics