Continuous monitoring with jump operators forming a deformed unitary 1-design rigorously produces the Scrooge ensemble as the unique late-time equilibrium distribution of quantum trajectories for any target density matrix.
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The one-dimensional Holstein model and Holstein-Hubbard model have no nontrivial local conserved quantities other than the Hamiltonian and total fermion number.
Low-energy states of local Hamiltonians have half-system entanglement entropies upper-bounded by the thermal entropies of two fictitious systems whose combined energies match the state's energy.
Quantum state space is foliated into minimum-variance leaves via quantum Fisher information to define leaf-canonical ensembles that incorporate coherence and support a leaf typicality hypothesis extending eigenstate thermalization.
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.
Above a critical noise strength, operator scrambling in random circuits is suppressed leading to classical simulability; below it, simulation stays exponentially hard.
Spectral graph analysis of the Hilbert-space connectivity graph detects exact fragmentation and nearly fragmented sectors with slow leakage in the t-J model and Hubbard chain.
In U(1)-symmetric random circuits, initial states with lower stabilizer Rényi entropy generate nonstabilizerness faster than those with higher entropy, with the effect also depending on spatial charge structure and extending to SU(2) circuits and Hamiltonian dynamics.
Variable detuning in Rydberg arrays induces strong Hilbert-space fragmentation whose fragment dimensions exhibit multiple scaling behaviors, with emergent kinetic constraints captured by an auxiliary fermion description.
Graph-energy centrality applied to Fock-space graphs captures weak ergodicity-breaking transitions in quantum many-body systems and scales to hundreds of sites or the thermodynamic limit.
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.
σ-VQE uses low-depth circuits and an energy-selective cost function to preferentially prepare quantum many-body scar states on NISQ devices.
In the Zeno regime of a continuously monitored Aubry-André-Harper chain, an effective non-Hermitian Hamiltonian derived from self-consistent measurement potentials yields a Lyapunov exponent whose predicted localization length quantitatively matches numerical quantum-state-diffusion trajectories.
An optimized pair-hopping term derived via third-order Schrieffer-Wolff transformation suppresses doublon transport through destructive interference, producing near-complete dynamical arrest in 1D and prethermal density-wave order in the many-body regime.
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.
GOE-like spectral chaos is neither necessary nor sufficient for quantum Mpemba crossings in a clean U(1)-conserving XXZ chain; the crossing is controlled by local charge-sector coherence structure instead.
Temporal fluctuations of the aSTC distinguish integrable and chaotic regimes in both closed and open long-range XYZ spin chains, retaining diagnostic power under non-Markovian noise where OTOC fails.
Eigenstates in interacting integrable models match random superpositions of polynomially many Gaussian states for entanglement and non-Gaussianity, while nonintegrable models match exponentially many.
Any continuously differentiable function of equilibrating expectation values equilibrates, implying subsystem entropy and conjugate variables equilibrate and total entropy is dynamically maximized under local conservation in bipartite isolated quantum systems.
Experimental mapping of localization-delocalization phase diagram in driven 3D quantum gas shows interaction-enabled metal-insulator transition via many-body dynamical localization.
A flow equation for the resonance density exponent θ(w) derived in the SJA predicts resonance proliferation driving delocalization, with θ(w)>0 for localized phases and instability signaling thermalization, matching numerics in Anderson and MBL models.
A randomised measurement protocol enables observation of a disorder-induced entanglement transition from chaotic to localised dynamics in a neutral atom quantum processor.
Conservation laws in quantum circuits and Hamiltonians replace logarithmic coherence saturation with slow hydrodynamic relaxation globally and produce algebraic peak-time growth locally, unlike ergodic cases.
Stochastic resetting produces finite pairwise concurrence in the steady state of periodically driven XY and Rydberg spin chains, with a critical rate below which it vanishes and an optimal rate at which it peaks.
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Exact Hilbert-space ergodicity from continuous monitoring
Continuous monitoring with jump operators forming a deformed unitary 1-design rigorously produces the Scrooge ensemble as the unique late-time equilibrium distribution of quantum trajectories for any target density matrix.
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Proof of the absence of local conserved quantities in the Holstein model
The one-dimensional Holstein model and Holstein-Hubbard model have no nontrivial local conserved quantities other than the Hamiltonian and total fermion number.
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Quantum matter is weakly entangled at low energies
Low-energy states of local Hamiltonians have half-system entanglement entropies upper-bounded by the thermal entropies of two fictitious systems whose combined energies match the state's energy.
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Quantum-Coherent Thermodynamics: Leaf Typicality via Minimum-Variance Foliation
Quantum state space is foliated into minimum-variance leaves via quantum Fisher information to define leaf-canonical ensembles that incorporate coherence and support a leaf typicality hypothesis extending eigenstate thermalization.
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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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Noise-induced Simulability Transition from Operator Scrambling
Above a critical noise strength, operator scrambling in random circuits is suppressed leading to classical simulability; below it, simulation stays exponentially hard.
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Graph-Theoretic Detection of Hilbert Space Fragmentation
Spectral graph analysis of the Hilbert-space connectivity graph detects exact fragmentation and nearly fragmented sectors with slow leakage in the t-J model and Hubbard chain.
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Nonstabilizerness Mpemba Effects
In U(1)-symmetric random circuits, initial states with lower stabilizer Rényi entropy generate nonstabilizerness faster than those with higher entropy, with the effect also depending on spatial charge structure and extending to SU(2) circuits and Hamiltonian dynamics.
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Emergent Kinetic Constraints and Subspace Fragmentation in Rydberg Arrays
Variable detuning in Rydberg arrays induces strong Hilbert-space fragmentation whose fragment dimensions exhibit multiple scaling behaviors, with emergent kinetic constraints captured by an auxiliary fermion description.
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Graph-theory measures capture weak ergodicity breaking on large quantum systems
Graph-energy centrality applied to Fock-space graphs captures weak ergodicity-breaking transitions in quantum many-body systems and scales to hundreds of sites or the thermodynamic limit.
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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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$\sigma$-VQE: Excited-state preparation of quantum many-body scars with shallow circuits
σ-VQE uses low-depth circuits and an energy-selective cost function to preferentially prepare quantum many-body scar states on NISQ devices.
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Controlled Zeno-Induced Localization of Free Fermions in a Quasiperiodic Chain
In the Zeno regime of a continuously monitored Aubry-André-Harper chain, an effective non-Hermitian Hamiltonian derived from self-consistent measurement potentials yields a Lyapunov exponent whose predicted localization length quantitatively matches numerical quantum-state-diffusion trajectories.
-
Interference-Induced Suppression of Doublon Transport and Prethermalization in the Extended Bose-Hubbard Model
An optimized pair-hopping term derived via third-order Schrieffer-Wolff transformation suppresses doublon transport through destructive interference, producing near-complete dynamical arrest in 1D and prethermal density-wave order in the many-body regime.
-
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.
-
Spectral Chaos Does Not Determine Quantum Mpemba Crossings
GOE-like spectral chaos is neither necessary nor sufficient for quantum Mpemba crossings in a clean U(1)-conserving XXZ chain; the crossing is controlled by local charge-sector coherence structure instead.
-
Quantum mutual information as a robust probe of integrability in open quantum systems
Temporal fluctuations of the aSTC distinguish integrable and chaotic regimes in both closed and open long-range XYZ spin chains, retaining diagnostic power under non-Markovian noise where OTOC fails.
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One-Body Purity, Non-Gaussianity, and Entanglement in Interacting Integrable Models
Eigenstates in interacting integrable models match random superpositions of polynomially many Gaussian states for entanglement and non-Gaussianity, while nonintegrable models match exponentially many.
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Emergence of Thermodynamics from Equilibration in Isolated Quantum Systems
Any continuously differentiable function of equilibrating expectation values equilibrates, implying subsystem entropy and conjugate variables equilibrate and total entropy is dynamically maximized under local conservation in bipartite isolated quantum systems.
-
Interaction-enabled metal-insulator phase transition in a driven quantum gas
Experimental mapping of localization-delocalization phase diagram in driven 3D quantum gas shows interaction-enabled metal-insulator transition via many-body dynamical localization.
-
Resonance Proliferation Across Localization Transitions
A flow equation for the resonance density exponent θ(w) derived in the SJA predicts resonance proliferation driving delocalization, with θ(w)>0 for localized phases and instability signaling thermalization, matching numerics in Anderson and MBL models.
-
Randomised measurements of a disorder-induced entanglement transition in a neutral atom quantum processor
A randomised measurement protocol enables observation of a disorder-induced entanglement transition from chaotic to localised dynamics in a neutral atom quantum processor.
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Coherence dynamics in quantum many-body systems with conservation laws
Conservation laws in quantum circuits and Hamiltonians replace logarithmic coherence saturation with slow hydrodynamic relaxation globally and produce algebraic peak-time growth locally, unlike ergodic cases.
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Generating pairwise entanglement in periodically driven quantum spin chains with stochastic resetting
Stochastic resetting produces finite pairwise concurrence in the steady state of periodically driven XY and Rydberg spin chains, with a critical rate below which it vanishes and an optimal rate at which it peaks.
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Symmetry-driven thermalization via finite de Finetti theorems
EPU-invariant N-qudit states have k-qudit marginals close to mixtures of thermal (Gibbs) states, with explicit ~kd/N error bounds.
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Hilbert space fragmentation in quantum Ising systems induced by side coupling
Side coupling of free spins to Ising models on lattices fragments the Hilbert space into exponentially many decoupled sectors at resonance between transverse field and coupling, inducing quantum scars.
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Enhancing entanglement asymmetry in fragmented quantum systems
Entanglement asymmetry for inhomogeneous U(1) charges in fragmented systems scales extensively, is bounded by a universal fraction of its maximum, and distinguishes classical from quantum fragmentation.
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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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Long-range resonances in quasiperiodic many-body localization
Quasiperiodic MBL systems host a broad unconventional regime with fat-tailed long-distance correlations and resonant cat states beyond what standard diagnostics detect.
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Level statistics of the disordered Haldane-Shastry model with $1/r^\alpha$ interaction
In the long-range Haldane-Shastry model, pristine Poisson level statistics emerge only with combined position disorder and random magnetic fields, with an approximate scaling collapse governed by the product αδ when SU(2) symmetry is broken.
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Statistics of Matrix Elements of Operators in a Disorder-Free SYK model
In the disorder-free SYK model, off-diagonal matrix elements of operators built from n≥4 Majorana fermions follow a generalized inverse Gaussian distribution.
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Time-dependent Neural Galerkin Method for Quantum Dynamics
Presents a Neural Galerkin method that solves quantum dynamics globally via variational minimization of a Schrödinger loss, demonstrated on 1D/2D transverse-field Ising quenches showing non-thermalization in 2D.
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