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Noisy quantum walks of two indistinguishable interacting particles

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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 in- distinguishability and interaction… Click to show full abstract

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 in- distinguishability 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 parti- cle 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.

Keywords: indistinguishable interacting; noisy quantum; quantum walks; interacting particles; two indistinguishable; walks two

Journal Title: Physical Review A
Year Published: 2017

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