2020
DOI: 10.1103/physreva.101.053608
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Analog quantum simulation of the spinor-four Dirac equation with an artificial gauge field

Abstract: A two-dimensional spatially and temporally modulated Wannier-Stark system of ultracold atoms in optical lattices is shown to mimic the behavior of a Dirac particle. Suitable additional modulations generate an artificial gauge field which simulates a magnetic field and imposes the use of the full spinor-4 Dirac equation.

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Cited by 2 publications
(1 citation statement)
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“…The discrete-time quantum walk (DTQW) formalism offers the possibility of engineering the dynamics of the walker with more control, due to an additional degree of freedom provided by the coin Hilbert space. Along with its use in search protocols [30,[54][55][56], it has been used to model topological phenomena [57][58][59][60][61], dynamics of Dirac cellular automata [62][63][64][65][66][67], neutrino oscillations [68], among others.…”
Section: Introductionmentioning
confidence: 99%
“…The discrete-time quantum walk (DTQW) formalism offers the possibility of engineering the dynamics of the walker with more control, due to an additional degree of freedom provided by the coin Hilbert space. Along with its use in search protocols [30,[54][55][56], it has been used to model topological phenomena [57][58][59][60][61], dynamics of Dirac cellular automata [62][63][64][65][66][67], neutrino oscillations [68], among others.…”
Section: Introductionmentioning
confidence: 99%