Lattice Lindblad simulation
Tomoya Hayata, Yoshimasa Hidaka, Arata Yamamoto
TL;DR
This paper introduces a real-time lattice simulation method for open quantum systems using the Lindblad formalism, highlighting cases free from the sign problem and analyzing driven dissipative dynamics.
Contribution
It presents a novel lattice simulation approach for Lindblad systems that overcomes the sign problem in specific non-relativistic fermion cases.
Findings
Identified sign-problem-free conditions for certain Lindblad systems
Demonstrated real-time evolution under driving and dissipation
Provided insights into non-relativistic fermion dynamics
Abstract
We perform the real-time lattice simulation of an open quantum system, which is based on the Schwinger-Keldysh path integral representation of the Lindblad formalism. Although the real-time simulation generally suffers from the sign problem, there exist a few exceptional cases. We focus on a sign-problem-free system of a non-relativistic spinless fermion and analyze time evolution under driving and dissipation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.