Thursday, December 27, 2012

1212.5821 (Di Molfetta Giuseppe et al.)

Quantum walks as massless Dirac Fermions in curved Space-Time    [PDF]

Di Molfetta Giuseppe, Fabrice Debbasch
A particular family of time- and space-dependent discrete-time quantum walks is considered in one dimensional physical space. The continuous limit of these walks is de?ned through a new procedure and computed in full detail. In this limit, the walks coincide with the propagation of a massless Dirac fermion in an arbitrary gravitational ?eld. Finally, the limiting procedure and the main result itself are carefully discussed.
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