Breathing oscillations of a trapped impurity in a Bose gas

T. H. Johnson^1a, M. Bruderer², Y. Cai³, S. R. Clark^4,1,5, W. Bao^3,6 and D. Jaksch^1,4,5

¹ Clarendon Laboratory, University of Oxford - Parks Road, Oxford OX1 3PU, UK, EU
² Fachbereich Physik, Universität Konstanz - D-78457 Konstanz, Germany, EU
³ Department of Mathematics, National University of Singapore - 119076, Singapore
⁴ Centre for Quantum Technologies, National University of Singapore - 3 Science Drive 2, 117543, Singapore
⁵ Keble College, University of Oxford - Parks Road, Oxford OX1 3PG, UK, EU
⁶ Center for Computational Science and Engineering, National University of Singapore - 117543, Singapore

^a t.johnson1@physics.ox.ac.uk

Received: 22 November 2011
Accepted: 23 March 2012

Abstract

Motivated by a recent experiment (Catani J. et al., Phys. Rev. A, 85 (2012) 023623) we study breathing oscillations in the width of a harmonically trapped impurity interacting with a separately trapped Bose gas. We provide an intuitive physical picture of such dynamics at zero temperature, using a time-dependent variational approach. The amplitudes of breathing oscillations are suppressed by self-trapping, due to interactions with the Bose gas. Further, exciting phonons in the Bose gas leads to damped oscillations and non-Markovian dynamics of the width of the impurity, the degree of which can be engineered through controllable parameters. Our results, supported by simulations, reproduce the main features of the dynamics observed by Catani et al. despite the temperature of that experiment. Moreover, we predict novel effects at lower temperatures due to self-trapping and the inhomogeneity of the trapped Bose gas.