Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session G00: Poster Session I (2pm- 5pm CST)
2:00 PM,
Tuesday, March 15, 2022
Room: McCormick Place Exhibit Hall F1
Abstract: G00.00239 : Stochastic Schrödinger equation derivation ofnon-Markovian two-time correlation functions*
Presenter:
Rafael Carballeira
(Saint Peter's University)
Author:
Rafael Carballeira
(Saint Peter's University)
based on a modified stochastic Schrödinger equation approach. We find that the two-time reduced propagator, an object that
used to be characterized by two independent stochastic processes in the Hilbert space of the system, can be simplified and
obtained by taking ensemble average over one single noise. This discovery can save the cost of computation, and accelerate
the converging process when taking the average over noisy trajectories. As a result, our method can be widely applied to many
open quantum models, especially large-scale systems and extend the quantum regression theory to the non-Markovian case.
In the short-time simulations, it is observed a significant difference between Markovian and non-Markovian cases, which can
be applied to realize the environmental spectrum detection and enhance the measurement sensitivity in varying open quantum
systems.
*Y.C. gratefully acknowledges financial supports by the Institutional Support of Research and Creativity (ISRC) grant provided by New York Institute of Technology. R.C. is partially supported by the Joseph E. Schuh scholarship at Saint Peter's University. D.Z. is partially supported by the US Department of Education Title III grant (P031C160038).
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