Floquet stroboscopic divisibility in non-Markovian dynamics

• 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
• Institution: Nanyang Technological University

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.