Liouvillian exceptional points of an open driven two-level system
- URL: http://arxiv.org/abs/2401.04011v1
- Date: Mon, 8 Jan 2024 16:42:08 GMT
- Title: Liouvillian exceptional points of an open driven two-level system
- Authors: Nikhil Seshadri, Anqi Li, Michael Galperin
- Abstract summary: We study the applicability of the Liouvillian exceptional points (LEPs) approach to nanoscale open quantum systems.
A generic model of the driven two-level system in a thermal environment is analyzed.
We find that non-Markov character of evolution in open quantum systems does not allow for the introduction of the concept of exceptional points.
- Score: 6.542468579115601
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the applicability of the Liouvillian exceptional points (LEPs)
approach to nanoscale open quantum systems. A generic model of the driven
two-level system in a thermal environment is analyzed within the nonequilibrium
Green's function (NEGF) and Bloch quantum master equation (QME) formulations.
We derive the latter starting from the exact NEGF Dyson equations and highlight
the qualitative limitations of the LEP treatment by examining the
approximations employed in its derivation. We find that non-Markov character of
evolution in open quantum systems does not allow for the introduction of the
concept of exceptional points for a description of their dynamics. Theoretical
analysis is illustrated with numerical simulations.
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