Abstract
We address the dynamics of two indistinguishable interacting particles moving on a dynamical percolation graph, i.e., a graph where the edges are independent random telegraph processes whose values jump between 0 and 1, thus mimicking percolation. The interplay between the particle interaction strength, initial state and the percolation rate determine different dynamical regimes for the walkers. We show that, whenever the walkers are initially localised within the interaction range, fast noise enhances the particle spread compared to the noiseless case.
Highlights
Quantum walks (QWs) are the quantum analogue of classical random walks and describe the propagation of quantum particles over a discrete lattice with non zero tunneling amplitudes between adjacent sites [1]
Experimental realisations of QWs are subject to different sources of noise e.g. imperfections, defects or external perturbations - that may dramatically affect the dynamical behaviour of the walkers [3, 4]
To analyse more realistic scenarios, in a previous work [4] we focused on the case of a non-Gaussian random telegraph noise which randomises the tunneling amplitudes between adjacent sites still retaining for them a finite value, in this paper we address the decoherent dynamics of two indistinguishable and interacting particles over one-dimensional percolation graphs, with links that appear and disappear randomly in time
Summary
Quantum walks (QWs) are the quantum analogue of classical random walks and describe the propagation of quantum particles over a discrete lattice with non zero tunneling amplitudes between adjacent sites [1]. To analyse more realistic scenarios, in a previous work [4] we focused on the case of a non-Gaussian random telegraph noise which randomises the tunneling amplitudes between adjacent sites still retaining for them a finite value, in this paper we address the decoherent dynamics of two indistinguishable and interacting particles over one-dimensional percolation graphs, with links that appear and disappear randomly in time.
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