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

Year: 2013

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

Autors Affiliation: NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, Italy;
NEST, Istituto Nanoscienze-CNR and Scuola Normale Superiore, I-56126 Pisa, Italy;
LENS-European Laboratory for Non-Linear Spectroscopy and Dipartimento di Fisica, Universita` di Firenze, via N. Carrara 1, IT-50019 Sesto Fiorentino-Firenze, Italy;
CNR-INO, via G. Sansone 1, IT-50019 Sesto Fiorentino-Firenze, Italy

Abstract: 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.


Volume: 110 (1)      Pages from: 015302  to: 015302

More Information: We acknowledge financial support by the EU FP7 Grant No. 248629-SOLID.
KeyWords: Breathing modes; Damping rate; Interacting bosons; Luttinger liquids; Oscillation frequency; Parameter spaces; Real-time dynamics; Time-dependent density-matrix, Atomic physics; Physics, Liquids
DOI: 10.1103/PhysRevLett.110.015302

Citations: 31
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