[NCTS-Phys/T2CoMSA Seminar] Quantum Master Equation and Quantum Fokker-Planck Equation for Open System Quantum Dynamics
Speaker：Prof. Seogjoo J. Jang (Department of Chemistry and Biochemistry, Queens College, City University of New York (CUNY) & Chemistry and Physics PhD Programs, Graduate Center, CUNY)
Time：2023/03/03 (Fri.) 10:30
Place：4F Lecture Hall, Cosmology Hall NTU (Hybrid, Webex)
Meeting number: 2551 382 5677
Password: YhM3NfnNx43 (94636366 from phones and video systems)
How to describe the dynamics of quantum systems interacting with environments
is a central issue across broad fields of physics, chemistry, and most recently biology.
Quantum Master Equation (QME) and Quantum Fokker-Planck equation (QFPE),
which can be viewed as the phase space representation of a QME, have long served
as important theoretical and computational tools for studying such open system quantum dynamics.
This talk will first provide a brief overview and known issues of well-known QMEs such as Redfield and
Lindblad equations, and QFPE derived by Caldeira and Leggett (CL) based on Feynman-Vernon influence
functional formalism. Then, I will explain two particular approaches we have been developing over the years.
The first is polaron-transformed QME (PQME), which offers reasonable transition from weak to strong coupling
limits and is appropriate for the dynamics of charge carriers and excitons in intermediate coupling regime.
The second is a new QFPE, which generalizes the derivation of CL to photo-induced nonequilibrium situation
and has clear positive definiteness condition. The steady state limit of this QFPE also provides corrections of
CL-QFPE for the quantum and non-Markovian effects of the bath. Extension of these approaches for quantum
sensing protocols will also be addressed.