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• W2017440980 abstract "Quantum percolation describes the problem of a quantum particle moving through a disordered system. While certain similarities to classical percolation exist, the quantum case has additional complexity due to the possibility of Anderson localisation. Here, we consider a directed discrete-time quantum walk as a model to study quantum percolation of a two-state particle on a two-dimensional lattice. Using numerical analysis we determine the fraction of connected edges required (transition point) in the lattice for the two-state particle to percolate with finite (non-zero) probability for three fundamental lattice geometries, finite square lattice, honeycomb lattice, and nanotube structure and show that it tends towards unity for increasing lattice sizes. To support the numerical results we also use a continuum approximation to analytically derive the expression for the percolation probability for the case of the square lattice and show that it agrees with the numerically obtained results for the discrete case. Beyond the fundamental interest to understand the dynamics of a two-state particle on a lattice (network) with disconnected vertices, our study has the potential to shed light on the transport dynamics in various quantum condensed matter systems and the construction of quantum information processing and communication protocols." @default.
• W2017440980 created "2016-06-24" @default.
• W2017440980 creator A5014530672 @default.
• W2017440980 creator A5024919473 @default.
• W2017440980 date "2014-10-10" @default.
• W2017440980 modified "2023-10-06" @default.
• W2017440980 title "Quantum percolation and transition point of a directed discrete-time quantum walk" @default.
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• W2017440980 doi "https://doi.org/10.1038/srep06583" @default.
• W2017440980 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/4192638" @default.
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• W2017440980 hasPublicationYear "2014" @default.
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