Non-Hermitian many-body Hamiltonians are mapped to Markov-chain generators, yielding new classical steady states: a Fermi-Dirac-like exclusion profile and exactly staggered, sector-dependent spin densities.
Topological Edge State Nucleation in Frequency Space and its Realization with Floquet Electrical Circuits
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abstract
We build Floquet-driven capactive circuit networks to realize topological states of matter in the frequency domain. We find the Floquet circuit network equations of motion to reveal a potential barrier which effectively acts as a boundary in frequency space. By implementing a Su-Shrieffer-Heeger Floquet lattice model and measuring the associated circuit Laplacian and characteristic resonances, we demonstrate how topological edge modes can nucleate at such a frequency boundary.
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cond-mat.other 1years
2025 1verdicts
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Interacting many-body non-Hermitian systems as Markov chains
Non-Hermitian many-body Hamiltonians are mapped to Markov-chain generators, yielding new classical steady states: a Fermi-Dirac-like exclusion profile and exactly staggered, sector-dependent spin densities.