Motion of heavy particles coupled to fermionic and bosonic environments in one dimension

Abstract

Making use of a simple unitary transformation we change the hamiltonian of a particle coupled to an one dimensional gas of bosons or fermions to a new form from which the many body degrees of freedom can be easily traced out. The effective dynamics of the particle allows us to compute its damping constant in terms of the reflection coefficient of the interaction potential and the occupation number of the environmental particles. We apply our results to a delta repulsive potential.

28 pages, RevteX, 3 figures

References in corpus (4)

• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Exact calculation of spectral properties of a particle interacting with a one dimensional fermionic system
• An alternative approach for the dynamics of polarons in one dimension
• Transport Properties of Solitons

Cited by in corpus (8)

• Dynamics of a heavy particle in a Luttinger liquid
• Quantum Breathing of an Impurity in a One-dimensional Bath of Interacting Bosons
• Impurity states in the one-dimensional Bose gas
• Microscopic theory of ionic motion in solids
• Ponderous impurities in a Luttinger liquid
• Mobility of Bloch Walls via the Collective Coordinate Method
• Non-Markovian quantum Brownian motion: a non-Hamiltonian approach
• Over forty years of research towards the understanding of Quantum Brownian Motion -- the contributions of A. O. Caldeira