Point-gap topology of stochastic matrices characterizes both directed transport and feedback-induced non-Markovianity in classical stochastic processes, with a topological quantum simulation of the latter.
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Floquet engineering via quantum resonances in periodically driven rotors enables analytical control of tight-binding parameters in momentum-space lattices, experimentally realized with a Bose-Einstein condensate to simulate the Rice-Mele model and related configurations.
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Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology
Point-gap topology of stochastic matrices characterizes both directed transport and feedback-induced non-Markovianity in classical stochastic processes, with a topological quantum simulation of the latter.
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Floquet engineering of tight-binding Hamiltonians in momentum space lattices
Floquet engineering via quantum resonances in periodically driven rotors enables analytical control of tight-binding parameters in momentum-space lattices, experimentally realized with a Bose-Einstein condensate to simulate the Rice-Mele model and related configurations.