We study the quantum motion of an impurity atom immersed in a Bose-Einstein condensate
in arbitrary dimensions. It was shown, for all dimensions, that the Bogoliubov excitations of …

We study the dynamics of an impurity embedded in a trapped Bose-Einstein condensate, ie,
the Bose polaron problem. This problem is treated by recalling open quantum systems …

Langevin dynamics of a confined Brownian particle with coordinate-dependent diffusion
involves multiplicative noise. Mathematically, equilibrium of such a stochastic system with …

Quantum Brownian motion represents a paradigmatic model of open quantum system,
namely a system inextricably coupled to the surrounding environment. Such a model is …

Thermal rectification and negative differential thermal conductance were realized in
harmonic chains in this work. We used the generalized Caldeira-Leggett model to study the …

Several years ago Zwanzig considered the diffusion in a potential that is spatially rough due
to hierarchical structure of protein. We extend this idea to the overdamped Brownian …

We investigate in this paper two different processes of scaling that map a multiplicative noise
problem to an additive noise form. While by one method of scaling, at the over-damped limit …

We have studied dynamical responses and the Jarzynski equality (JE) of classical open
systems described by the generalized Caldeira-Leggett model with the nonlocal system …

The escape rate of a particle over a fluctuating barrier in a double-well potential exhibits
resonance at an optimum value of correlation time of fluctuation. This has been shown to be …

In this paper we provide a physical interpretation of It\^ o-process resulting in thermal
equilibrium distribution of a Brownian particle experiencing coordinate dependent diffusion …