Abstract
We investigate the open dynamics of an atomic impurity embedded in a one-dimensional Bose-Hubbard lattice. We derive the reduced evolution equation for the impurity and show that the Bose-Hubbard lattice behaves as a tunable engineered environment allowing one to simulate both Markovian and non-Markovian dynamics in a controlled and experimentally realizable way. We demonstrate that the presence or absence of memory effects is a signature of the nature of the excitations induced by the impurity, being delocalized or localized in the two limiting cases of a superfluid and Mott insulator, respectively. Furthermore, our findings show how the excitations supported in the two phases can be characterized as information carriers.
| Original language | English |
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| Article number | 040101 |
| Number of pages | 6 |
| Journal | Physical Review A |
| Volume | 97 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 9 Apr 2018 |
| MoE publication type | A1 Journal article-refereed |
Funding
This research is partially funded by the European Research Council under the European Union's Seventh Framework Programme (FP7/2007-2013)/ERC Grant Agreement No. 319286 Q-MAC. This work was also supported by the EPSRC National Quantum Technology Hub in Networked Quantum Information Processing (NQIT) EP/M013243/1. J.J.M.A. acknowledges financial support from Facultad de Ciencias at UniAndes-2015 project Quantum control of non-equilibrium hybrid systems-Part II. F.C. and S.M. acknowledge financial support from the Academy of Finland Centre of Excellence program (Project No. 312058)