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arXiv · 1206.3984

Quantum Breathing of an Impurity in a One-dimensional Bath of Interacting Bosons

Abstract

By means of time-dependent density-matrix renormalization-group (TDMRG) we are able to follow the real-time dynamics of a single impurity embedded in a one-dimensional bath of interacting bosons. We focus on the impurity breathing mode, which is found to be well-described by a single oscillation frequency and a damping rate. If the impurity is very weakly coupled to the bath, a Luttinger-liquid description is valid and the impurity suffers an Abraham-Lorentz radiation-reaction friction. For a large portion of the explored parameter space, the TDMRG results fall well beyond the Luttinger-liquid paradigm.

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Sebastiano Peotta, Davide Rossini, Marco Polini, Francesco Minardi, Rosario Fazio. 2012-06-18. Quantum Breathing of an Impurity in a One-dimensional Bath of Interacting Bosons. https://doi.org/10.1103/physrevlett.110.015302

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