Constructing quantum many-body scar Hamiltonians from Floquet automata
arXiv:2112.12153 · doi:10.1103/PhysRevB.106.184304
Abstract
We provide a systematic approach for constructing approximate quantum many-body scars (QMBS) starting from two-layer Floquet automaton circuits that exhibit trivial many-body revivals. We do so by applying successively more restrictions that force local gates of the automaton circuit to commute concomitantly more accurately when acting on select scar states. With these rules in place, an effective local, Floquet Hamiltonian is seen to capture dynamics of the automaton over a long prethermal window. We provide numerical evidence for such a picture and use our construction to derive several QMBS models, including the celebrated PXP model.
19.5 pages, 12 figures, 2 tables
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- Volume-entangled exact scar states in the PXP and related models in any dimension
- Quantum Many-Body Scars beyond the PXP model in Rydberg simulators
- Emergent strong zero mode through local Floquet engineering
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- Embedding semiclassical periodic orbits into chaotic many-body Hamiltonians
- Controlling nonergodicity in quantum many-body systems by reinforcement learning
- Concomitant Entanglement and Control Criticality Driven by Collective Measurements
- Engineering subharmonic responses beyond prethermalization via Floquet scar states
- Dynamics of antiferromagnetic Dimers in Rydberg Atom Chains
- Renormalisation of Quantum Cellular Automata