The Levy SYK model is solved exactly at large N, with mu tuning the system from free theory at mu=0 to the standard maximally chaotic SYK at mu=2.
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Quantum thermalization occurs in chaotic and integrable regimes of a multispecies Bose-Josephson junction, with quantum scars remaining athermal in the chaotic regime.
Analytical study derives conditions for ergodic infinite-temperature relaxation or robust discrete time crystal subharmonic oscillations in periodically kicked spin chains, depending on kicking protocol and initial state.
Suppressed quantum chaos at the transition state enhances tunneling in H3+ and H5+ formation, quantified by a new fragility index derived from adiabatic gauge potential slopes.
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.
Review of proposals and experiments using coupled cavity arrays and superconducting circuits to realize many-body physics with photons, including Mott transitions, fractional quantum Hall states, and dissipative phase transitions.
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Solving L\'{e}vy Sachdev-Ye-Kitaev Model
The Levy SYK model is solved exactly at large N, with mu tuning the system from free theory at mu=0 to the standard maximally chaotic SYK at mu=2.
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Quantum Thermalization beyond Non-Integrability and Quantum Scars in a Multispecies Bose-Josephson Junction
Quantum thermalization occurs in chaotic and integrable regimes of a multispecies Bose-Josephson junction, with quantum scars remaining athermal in the chaotic regime.
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Ergodic and Discrete Time Crystal Phases in Periodically Kicked Many-Body Quantum Systems: An Analytical Study
Analytical study derives conditions for ergodic infinite-temperature relaxation or robust discrete time crystal subharmonic oscillations in periodically kicked spin chains, depending on kicking protocol and initial state.
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Chaos Gated Tunneling Drives Molecular Reactivity in Astrophysical Environments
Suppressed quantum chaos at the transition state enhances tunneling in H3+ and H5+ formation, quantified by a new fragility index derived from adiabatic gauge potential slopes.
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Krylov Complexity
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.
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Quantum Dynamics in Krylov Space: Methods and Applications
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.
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Many-Body Physics and Quantum Simulations with Strongly Interacting Photons
Review of proposals and experiments using coupled cavity arrays and superconducting circuits to realize many-body physics with photons, including Mott transitions, fractional quantum Hall states, and dissipative phase transitions.