Floquet stroboscopic divisibility in non-Markovian dynamics

Floquet stroboscopic divisibility in non-Markovian dynamics

We provide a general description of a time-local master equation for a system coupled to a non-Markovian reservoir based on Floquet theory. This allows us to have a divisible dynamical map at discrete times, which we refer to as Floquet stroboscopic divisibility. We illustrate the theory by consider...

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Bibliographic Details
Main Authors: Bastidas, Victor M., Kyaw, Thi Ha, Tangpanitanon, Jirawat, Romero, Guillermo, Kwek, Leong-Chuan, Angelakis, Dimitris G.
Other Authors: National Institute of Education
Format: Article
Language:English
Published: 2019
Subjects:
DRNTU::Science::Physics
Non-Markovian Dynamics
Dephasing
Online Access:https://hdl.handle.net/10356/103511
http://hdl.handle.net/10220/47346
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Institution: Nanyang Technological University
Language: English
Description
Summary:We provide a general description of a time-local master equation for a system coupled to a non-Markovian reservoir based on Floquet theory. This allows us to have a divisible dynamical map at discrete times, which we refer to as Floquet stroboscopic divisibility. We illustrate the theory by considering a harmonic oscillator coupled to both non-Markovian and Markovian baths. Our findings provide us with a theory for the exact calculation of spectral properties of time-local non-Markovian Liouvillian operators, and might shed light on the nature and existence of the steady state in non-Markovian dynamics.

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