Bose-Hubbard lattice as a controllable environment for open quantum systems
: Cosco F, Borrelli M, Mendoza-Arenas JJ, Plastina F, Jaksch D, Maniscalco S
Publisher: AMER PHYSICAL SOC
: 2018
: Physical Review A
: PHYSICAL REVIEW A
: PHYS REV A
: ARTN 040101
: 97
: 4
: 6
: 2469-9926
DOI: https://doi.org/10.1103/PhysRevA.97.040101
: https://research.utu.fi/converis/portal/Publication/30993379
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.