A Dirac sea in a discrete-time quantum walk is unstable at the modular-energy boundary, and a tilted modified walk can push eigenstates away from that boundary.
Light-cone lattice approach to fermionic theories in 2d: The massive thirring model
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The Dirac Vacuum in Discrete Spacetime
A Dirac sea in a discrete-time quantum walk is unstable at the modular-energy boundary, and a tilted modified walk can push eigenstates away from that boundary.