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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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.
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.
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.
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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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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.