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arXiv · 1610.04180

Noisy quantum walks of two indistinguishable interacting particles

Ilaria Siloi·Claudia Benedetti·Enrico Piccinini·Jyrki Piilo·Sabrina Maniscalco·Matteo G. A. Paris·Paolo Bordone
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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 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.

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Ilaria Siloi, Claudia Benedetti, Enrico Piccinini, Jyrki Piilo, Sabrina Maniscalco, Matteo G. A. Paris, Paolo Bordone. 2017-03-02. Noisy quantum walks of two indistinguishable interacting particles. https://doi.org/10.1103/physreva.95.022106

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