The one-dimensional Holstein model and Holstein-Hubbard model have no nontrivial local conserved quantities other than the Hamiltonian and total fermion number.
Canonical reference
Title resolution pending
Canonical reference. 100% of citing Pith papers cite this work as background.
31
Pith papers citing it
Background
100% of classified citations
citation-role summary
background 6
citation-polarity summary
roles
background 6polarities
background 6representative citing papers
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.
The work gives an algebraic criterion for uniqueness of steady states in recurrently time-dependent Lindblad equations and classifies how strong symmetries in Schrödinger versus interaction pictures produce time-independent or oscillating asymptotics.
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.
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.
LOE for Haar random dynamics asymptotically matches the Page curve for traceless operators and is independent of the initial operator at leading order.
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.
Stochastic resetting generates finite pairwise entanglement in periodically driven spin chains, with critical resetting rate r_c and optimal rate r_m showing non-monotonic dependence on drive frequency ω_D.
Quasiperiodic modulation of Peierls phases in a disorder-free two-leg ladder drives Anderson localization transitions, yielding delocalized, localized, and mixed phases.
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.
Interactions induce a sharp metal-insulator transition in a driven 3D quantum gas, separating many-body dynamical localization from classical diffusion via a boundary mapped by finite-time scaling.
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.
Invariance under energy-preserving unitaries forces large-N reduced states to be close to thermal mixtures, with vanishing error bounds.
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.
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.
citing papers explorer
-
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.
-
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.
-
Theory of Steady States for Lindblad Equations beyond Time-Independence: Classification, Uniqueness and Symmetry
The work gives an algebraic criterion for uniqueness of steady states in recurrently time-dependent Lindblad equations and classifies how strong symmetries in Schrödinger versus interaction pictures produce time-independent or oscillating asymptotics.
-
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.
-
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.
-
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.
-
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.
-
Page Curve for Local-Operator Entanglement from Free Probability
LOE for Haar random dynamics asymptotically matches the Page curve for traceless operators and is independent of the initial operator at leading order.
-
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.
-
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.
-
Generating pairwise entanglement in periodically driven quantum spin chains with stochastic resetting
Stochastic resetting generates finite pairwise entanglement in periodically driven spin chains, with critical resetting rate r_c and optimal rate r_m showing non-monotonic dependence on drive frequency ω_D.
-
Anderson localization via Peierls phase modulation
Quasiperiodic modulation of Peierls phases in a disorder-free two-leg ladder drives Anderson localization transitions, yielding delocalized, localized, and mixed phases.
-
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.
-
$\sigma$-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.
-
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.
-
Interaction-enabled metal-insulator phase transition in a driven quantum gas
Interactions induce a sharp metal-insulator transition in a driven 3D quantum gas, separating many-body dynamical localization from classical diffusion via a boundary mapped by finite-time scaling.
-
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.
-
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.
-
Symmetry-driven thermalization via finite de Finetti theorems
Invariance under energy-preserving unitaries forces large-N reduced states to be close to thermal mixtures, with vanishing error bounds.
-
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.
-
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.
-
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.
-
Entanglement Growth from Structured Initial States in Many-Body Localized Systems
In the random-field XXZ model, Wehrl-Rényi entropy growth for z-polarized product states shows non-monotonic dependence on initial entanglement, with the first regime set by local integrals of motion and the second by inter-site correlations.
-
Quantum quenches in a spin-1 chain with tunable symmetry
Tuning quadrupolar interactions in a spin-1 chain reveals a conserved quantity at the SU(3) point that limits accessible states and alters quench dynamics of magnetization, entanglement, and correlations.
-
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.
-
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.
-
Quadratic Hamiltonian approach to heat transport in fermionic systems
Numerical method using quadratic fermionic Hamiltonians and Peschel correlation functions is applied to a single-mode quantum heat valve with comparisons to exact analytical results.
- Scrambling of Entanglement from Integrability to Chaos: Bootstrapped Time-Integrated Spread Complexity