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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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.
Classical finite state generators can exceed the Tsirelson bound of 2√2 in temporal correlations, but quantum generators maintain stronger correlations longer under time delays and scrambling operations.
Exact results show U(1) symmetry substantially suppresses non-stabilizerness in random states, with different leading scaling from entanglement near zero charge density.
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.
Partial projected ensembles from Haar-random states and scrambling circuits exhibit two information phases in Holevo information: exponential decay versus linear growth with system size, separated by sharp transitions and revealing a measurement-invisible quantum-correlated phase.
A local transverse-field Ising model reproduces the Page curve through kinematic subsystem resizing, even with zero boundary coupling.
citing papers explorer
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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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Comparing quantum and classical finite state generators
Classical finite state generators can exceed the Tsirelson bound of 2√2 in temporal correlations, but quantum generators maintain stronger correlations longer under time delays and scrambling operations.
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Non-stabilizerness and U(1) symmetry in chaotic many-body quantum systems
Exact results show U(1) symmetry substantially suppresses non-stabilizerness in random states, with different leading scaling from entanglement near zero charge density.
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Quantum simulation of thermalization dynamics of a nonuniform Dicke model
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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Information phases of partial projected ensembles generated from random quantum states and scrambling dynamics
Partial projected ensembles from Haar-random states and scrambling circuits exhibit two information phases in Holevo information: exponential decay versus linear growth with system size, separated by sharp transitions and revealing a measurement-invisible quantum-correlated phase.
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Kinematic Emergence of the Page Curve in a Local Transverse-Field Ising Model
A local transverse-field Ising model reproduces the Page curve through kinematic subsystem resizing, even with zero boundary coupling.
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