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Ilaria Siloi

Dipartimento di Fisica, Informatica e Matematica, Università di Modena e Reggio Emilia

Wednesday, July 13th, 2016 at 12:00:00 PM

Aula Querzoli - LENS

Published on-line at 08:50:45 AM on Monday, July 11th, 2016

Quantum walks of two interacting particles on a noisy lattice

Quantum walks (QWs) are the quantum analogue of classical random walks, and describe the propagation of a quantum particle over a discrete lattice with equal tu

Quantum walks (QWs) are the quantum analogue of classical random walks, and describe the propagation of a quantum particle over a discrete lattice with equal tunnelling probability between adjacent sites [1].  Endowing the walker with quantum properties typically leads to different dynamics compared to the classical counterpart, which can be exploited to perform tasks not accessible with the limited classical resources. While single-particle QWs raised general interest for modelling various (bio-)physical processes and developing quantum algorithms, two-particles QWs are still a largely unexplored subject [2,3]. Here we numerically study the role of interaction in the propagation of two indistinguishable particles hopping on a one-dimensional disordered lattice. A realistic model for a noisy environment is considered by introducing non-Gaussian noise as time-dependent fluctuations of the tunnelling amplitudes [4]. The interplay between hopping, interaction strength and noise suggest a way to address the dynamical properties of the pair. By tuning noise parameters, one can explore different dynamics ranging from the localization of the pair (slow noise) to quantum propagation (fast noise). In the absence of noise, interaction determines two distinct dynamical regimes whereas noise fades this distinction such creating an intermediate dynamics.  More specifically we observe that fast noise allows the two particles to propagate faster with respect to the noiseless case, and this can be understood in terms of the band-structure of the Hubbard-model. 

For further informations, please contact Dr. Filippo Caruso.