Noisy quantum walks of two indistinguishable interacting particles
: Siloi I, Benedetti C, Piccinini E, Piilo J, Maniscalco S, Paris MGA, Bordone P
Publisher: AMER PHYSICAL SOC
: 2017
: Physical Review A
: PHYSICAL REVIEW A
: PHYS REV A
: ARTN 022106
: 95
: 2
: 8
: 2469-9926
: 2469-9934
DOI: https://doi.org/10.1103/PhysRevA.95.022106
: https://journals.aps.org/pra/pdf/10.1103/PhysRevA.95.022106
: https://research.utu.fi/converis/portal/detail/Publication/19249484
We investigate the dynamics of continuous-time two-particle quantum walks on a one-dimensional noisy lattice. Depending on the initial condition, we show how the interplay between particle indistinguishability and interaction determines distinct propagation regimes. A realistic model for the environment is considered by introducing non-Gaussian noise as time-dependent fluctuations of the tunneling amplitudes between adjacent sites. We observe that the combined effect of particle interaction and fast noise (weak coupling with the environment) provides a faster propagation compared to the noiseless case. This effect can be understood in terms of the band structure of the Hubbard model, and a detailed analysis as a function of both noise and system parameters is presented.