title: Effective quantum Brownian dynamics in presence of a rapidly oscillating space-dependent time-periodic field.
abstract: We explore the Brownian dynamics in the quantum regime (by investigating the quantum Langevin and Smoluchowski equations) in terms of an effective time-independent Hamiltonian in the presence of a rapidly oscillating field. We achieve this by systematically expanding the time-dependent system-reservoir Hamiltonian in the inverse of driving frequency with a systematic time-scale separation and invoking a quantum gauge transformation within the framework of Floquet theorem.
authors.affiliation: Department of Chemistry, Bengal Engineering and Science University, Shibpur, Howrah, India.
authors.forename: Anindita
authors.initials: A
authors.lastname: Shit
authors.forename: Sudip
authors.initials: S
authors.lastname: Chattopadhyay
authors.forename: Jyotipratim Ray
authors.initials: JR
authors.lastname: Chaudhuri