Floquet Quantum Criticality

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National Academy of Sciences

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Abstract

We study transitions between distinct phases of one-dimensional periodically driven (Floquet) systems. We argue that these are generically controlled by infinite-randomness fixed points of a strong-disorder renormalization group procedure. Working in the fermionic representation of the prototypical Floquet Ising chain, we leverage infinite randomness physics to provide a simple description of Floquet (multi)criticality in terms of a distinct type of domain wall associated with time translational symmetry-breaking and the formation of “Floquet time crystals.” We validate our analysis via numerical simulations of free-fermion models sufficient to capture the critical physics.

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Criticality (Nuclear engineering), Computer simulation, Fermions, Floquet theory

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National Science Foundation Grant ACI-1053575; Office of Science, of the US Department of Energy under Contract DEAC02-05CH11231; NSF Grant DMR-1455366.

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© 2018 National Academy of Sciences. All rights reserved.

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