Coupled dissipative time crystals show chaotic synchronization with positive Lyapunov exponents and high Pearson correlations in the classical limit, plus analogous staggered-to-uniform crossovers and GUE statistics in quantum trajectories.
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Numerical analysis shows that spectral statistics of a BPS-projected operator in an interpolating N=2 SYK model transition from random-matrix to Poisson behavior as the model moves from chaotic to integrable.
Quantum thermalization occurs in chaotic and interacting-integrable regimes of a three-species Bose-Josephson junction but fails in the separable limit, with quantum scars present in the chaotic regime.
A disorder-free spin ladder model exhibits a reversed quantum disentangled liquid at strong rung coupling, where light spins thermalize and heavy spins localize, establishing a microscopic origin for quasi-MBL.
Fock space cages from destructive interference in kinetically constrained models yield localized many-body eigenstates and non-ergodic dynamics by treating Fock space as a graph of bitstring states.
Any Hamiltonian can be recast via Fock basis change as a local 1D lattice theory whose dispersion relation and non-integrability depend on its spectrum.
Quantum many-body scars in a kicked long-range Ising model produce time-translation symmetry breaking via π-paired Floquet doublets, yielding period-doubling oscillations that scale to last exponentially long in system size for selected initial states.
Random global pulses in Rydberg chains generate states with Haar-like statistics at long times for weak interactions, while optimal control prepares generic symmetric states with infidelities from 10^{-5} to 3e-2 for 9 spins, worsening with entanglement entropy.
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.
citing papers explorer
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Classical and quantum chaotic synchronization in coupled dissipative time crystals
Coupled dissipative time crystals show chaotic synchronization with positive Lyapunov exponents and high Pearson correlations in the classical limit, plus analogous staggered-to-uniform crossovers and GUE statistics in quantum trajectories.
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Chaos-Integrability Transition in the BPS Subspace of the $\mathcal{N}=2$ SYK Model
Numerical analysis shows that spectral statistics of a BPS-projected operator in an interpolating N=2 SYK model transition from random-matrix to Poisson behavior as the model moves from chaotic to integrable.
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Quantum Thermalization beyond Non-Integrability and Quantum Scars in a Multispecies Bose-Josephson Junction
Quantum thermalization occurs in chaotic and interacting-integrable regimes of a three-species Bose-Josephson junction but fails in the separable limit, with quantum scars present in the chaotic regime.
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Crossover from Quantum Chaos to a Reversed Quantum Disentangled Liquid in a Disorder-Free Spin Ladder
A disorder-free spin ladder model exhibits a reversed quantum disentangled liquid at strong rung coupling, where light spins thermalize and heavy spins localize, establishing a microscopic origin for quasi-MBL.
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Localized Fock Space Cages in Kinetically Constrained Models
Fock space cages from destructive interference in kinetically constrained models yield localized many-body eigenstates and non-ergodic dynamics by treating Fock space as a graph of bitstring states.
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Wave packets from the spectrum
Any Hamiltonian can be recast via Fock basis change as a local 1D lattice theory whose dispersion relation and non-integrability depend on its spectrum.
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Quantum many-body scars leading to time-translation symmetry breaking in kicked interacting spin models
Quantum many-body scars in a kicked long-range Ising model produce time-translation symmetry breaking via π-paired Floquet doublets, yielding period-doubling oscillations that scale to last exponentially long in system size for selected initial states.
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Random-State Generation and Preparation Complexity in Rydberg Atom Arrays
Random global pulses in Rydberg chains generate states with Haar-like statistics at long times for weak interactions, while optimal control prepares generic symmetric states with infidelities from 10^{-5} to 3e-2 for 9 spins, worsening with entanglement entropy.
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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.