Effective potential and polaronic mass shift in a trapped dynamical impurity–Luttinger liquid system
Laboratoire de Physique Théorique et Hautes Energies, Université Pierre et Marie Curie - Paris VI 4 Place Jussieu, 75252 Paris Cedex 05, France, EU
Received: 17 October 2012
Accepted: 10 December 2012
Recent experiments with cold atoms on the impurity motion in one-dimensional liquids of interacting bosons have revealed an interesting interplay between the polaronic impurity mass shift and the renormalization of the optical potential. We show that the influence of the external trap on the Bose gas leads to a steeper effective potential for the impurity. We propose a framework in which this potential renormalization and the mass shift can be quantitatively understood by combining a semi-classical theory of density wave excitations in the Luttinger liquid with the non-equilibrium formalism of a quantum Brownian particle. The obtained theoretical results reproduce well recent experimental data.
PACS: 67.10.Jn – Transport properties and hydrodynamics / 05.40.Jc – Brownian motion / 71.38.-k – Polarons and electron-phonon interactions
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