Certain Hamiltonian deformations preserve the Krylov subspace, yielding generalized Toda equations and allowing imaginary-time dynamics to be recast as real-time unitary evolution, with applications to thermodynamic states and supersymmetric systems.
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Derives a quantum speed limit for the OTOC decay rate by mapping scrambling to open-system decoherence bounded by system-environment coupling strength and environmental correlation functions.
The study finds that the spectral form factor in the closed Dicke model deviates from Poissonian expectations in the regular regime unless spin sizes are very large, while the dissipative spectral form factor in the open model with cavity damping shows robust quadratic dip-ramp-plateau behavior in a
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Krylov Complexity Under Hamiltonian Deformations and Toda Flows
Certain Hamiltonian deformations preserve the Krylov subspace, yielding generalized Toda equations and allowing imaginary-time dynamics to be recast as real-time unitary evolution, with applications to thermodynamic states and supersymmetric systems.
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Quantum speed limit for the OTOC from an open systems perspective
Derives a quantum speed limit for the OTOC decay rate by mapping scrambling to open-system decoherence bounded by system-environment coupling strength and environmental correlation functions.
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Comparative Study of Indicators of Chaos in the Closed and Open Dicke Model
The study finds that the spectral form factor in the closed Dicke model deviates from Poissonian expectations in the regular regime unless spin sizes are very large, while the dissipative spectral form factor in the open model with cavity damping shows robust quadratic dip-ramp-plateau behavior in a