From non equilibrium quantum Brownian motion to impurity dynamics in 1D quantum liquids
arXiv:1203.5273 · doi:10.1103/PhysRevA.86.023636
Abstract
Impurity motion in one dimensional ultra cold quantum liquids confined in an optical trap has attracted much interest recently. As a step towards its full understanding, we construct a generating functional from which we derive the position non equilibrium correlation function of a quantum Brownian particle with general Gaussian non-factorizing initial conditions. We investigate the slow dynamics of a particle confined in a harmonic potential after a position measurement; the rapid relaxation of a particle trapped in a harmonic potential after a quantum quench realized as a sudden change in the potential parameters; and the evolution of an impurity in contact with a one dimensional bosonic quantum gas. We argue that such an impurity-Luttinger liquid system, that has been recently realized experimentally, admits a simple modeling as quantum Brownian motion in a super Ohmic bath.
Published version, 23 pages, 2 figures
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