Krylov winding emerges as a generic feature of quantum chaotic systems from the universal operator growth bound, producing size winding when a low-rank Krylov-to-size mapping exists and the chaos bound saturates.
Swingle, Unscrambling the physics of out-of-time- order correlators, Nature Physics14, 988 (2018)
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A local impurity in clean free-fermion chains acts as a branching source leading to sustained growth and scrambling via transitions in monitored and unitary models.
Growth quenches are mapped to operator growth via the Krylov method, yielding a conjecture of linear Lanczos coefficients, localization criteria in Krylov and Fock space, a Lyapunov-exponent bound, and explicit realizations in SYK-inspired and East-West models.
Quantum simulation of thermalization in a nonuniform Dicke model with up to 200 trapped ions shows sensitivity of observables and entropy growth to coupling inhomogeneity.
Hybrid Rydberg platform enables quantum non-demolition detection and local manipulation of circular Rydberg atoms using ancilla atoms and Förster resonance blockade.
Mixing time of Lindblad-governed open quantum systems is determined by the Liouvillian gap plus trace-norm factors of eigenmodes, yielding rapid mixing conditions via sparsity constraints on the Hamiltonian and local Lindblad operators.
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 Winding and Emergent Coherence in Operator Growth Dynamics
Krylov winding emerges as a generic feature of quantum chaotic systems from the universal operator growth bound, producing size winding when a low-rank Krylov-to-size mapping exists and the chaos bound saturates.
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Local Impurity Induced Growth and Scrambling in Clean Free Fermions
A local impurity in clean free-fermion chains acts as a branching source leading to sustained growth and scrambling via transitions in monitored and unitary models.
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Quantum Quenches that Resemble Operator Growth
Growth quenches are mapped to operator growth via the Krylov method, yielding a conjecture of linear Lanczos coefficients, localization criteria in Krylov and Fock space, a Lyapunov-exponent bound, and explicit realizations in SYK-inspired and East-West models.
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Quantum simulation of thermalization in a nonuniform Dicke model with up to 200 trapped ions shows sensitivity of observables and entropy growth to coupling inhomogeneity.
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Non-destructive optical read-out and manipulation of circular Rydberg atoms
Hybrid Rydberg platform enables quantum non-demolition detection and local manipulation of circular Rydberg atoms using ancilla atoms and Förster resonance blockade.
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Universal Predictors for Mixing Time more than Liouvillian Gap
Mixing time of Lindblad-governed open quantum systems is determined by the Liouvillian gap plus trace-norm factors of eigenmodes, yielding rapid mixing conditions via sparsity constraints on the Hamiltonian and local Lindblad operators.
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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