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

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Date: 
2013-01-03
Author(s): 

S. Peotta, D. Rossini, M. Polini, F. Minardi, and R. Fazio

Reference: 

Phys. Rev. Lett. 110, 015302 (2013)

By means of the time-dependent density-matrix renormalization-group (TDMRG) method 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.