Non-Hermitian quasicrystal gets exact metal-insulator transition
At V0>J all eigenstates share the same localization length, independent of energy.
· “Metal-insulator phase transition in a non-Hermitian Aubry-Andr\'e-Harper Model”
cond-mat.stat-mech
Statistical Mechanics
Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
sort pith recommended most recent
Bootstrap isolates tricritical Ising CFT in fractional dimensions
Crossing symmetry of three operators pins down the theory's exponents and ties the φ⁶ theory to the 2d minimal model.
One inequality yields uncertainty bounds for classical and quantum systems
Same noise-based argument replaces perturbation proofs and tightens quantum precision bounds under strong driving.
Fault tolerance fails where syndrome correlations diverge
A decoder-free length scale from repeated measurements pinpoints the intrinsic error threshold.
· “Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases”
Form factor matches random-matrix curve in all three Dyson classes
Beyond a Thouless time, kicked many-body spectra reproduce COE, CUE, and CSE form factors to second order.
Localized eigenstates don't stop the wave: new universal scaling
Spreading distance follows a universal curve set by the imaginary spectrum's tail.
Cooperative strings slow diffusion in equilibrium 2D solids
Pure 2D solid and hexatic phases show glass-like cooperative strings that slow diffusion down.
Impurity trick sharpens critical-temperature estimates to 1e-7
Replacing bond weights with impurity matrices computes magnetization moments faster than MPS and beats its cost scaling.
· “Multi-impurity method for the bond-weighted tensor renormalization group”
Sound diffusion in a Fermi gas hits the quantum floor
As the gas cools through its superfluid transition, sound damping sticks near ħ/m instead of diverging.
· “Universal Sound Diffusion in a Strongly Interacting Fermi Gas”
Best digitized annealing time is ~P
At fixed Trotter depth P, annealing beyond tau~P drives defects to 1/2, a random state.
Every QCD-chain energy level is a scattering state of lipatons
For the s=-1 XXX chain, elementary excitations are Z2 fermionic solitons; the paper derives their thermodynamics and entanglement.
Floating phases fill wide regions of the Rydberg chain phase diagram
These gapless incommensurate solids separate the 1/3 and 1/4 crystals and coat the 1/5 lobe at experimental parameters.
Noise sets the dissipation floor for coherent conductors
A single measured current and its fluctuations bound entropy production at any bias, with no heat-current measurement needed.
· “Thermodynamic Uncertainty Relations for Coherent Transport”
Bose chain slows its own relaxation via fragmentation
Doublon and singlon counts stay fixed while the charge-density-wave imbalance relaxes slowly.
One distribution captures charge noise in a stochastic cellular automaton
Exact full counting statistics interpolate from single-file Mainardi-Wright at pure reflection to Gaussian at pure transmission.
One field-theoretic basis sets turbulence's spectral constants
Scalar diffusivity equals renormalized viscosity; Kolmogorov constants follow from the same Craya-Herring calculation.
Local spin rotations shrink the quantum Monte Carlo sign problem
A single local loss both bounds and reduces the exponential sampling slowdown of frustrated quantum magnets.
· “Local Basis Transformation to Mitigate Negative Sign Problems”
Spin eigenstates at finite temperature act like charged random states
One normalization constant maps energy density to charge density and reproduces entanglement statistics.
· “Quantum chaos at finite temperature in local spin Hamiltonians”
Exact steady states and mixing rates for jammed active pairs
Explicit formulas for clustering probabilities and relaxation times of two attracting, non-crossing run-and-tumble particles.
Relative entropy reproduces the black-hole area law
For large Schwarzschild radius, the entropy scales with horizon area as S ≈ C A/4G.
· “The quantum relative entropy of the Schwarzschild black-hole and the area law”
TeNeS-v2 adds real-time and thermal simulation to 2D tensor-network solver
One software package now handles ground states, quench dynamics, and finite-temperature benchmarks against quantum Monte Carlo.
Disorder can't erase Laplace's exponential diffusion tails
In a random trap lattice, the tail shape is fixed by just two moments of the local escape rates.
· “Diffusion in Quenched Random Environments: Reviving Laplace's First Law of Errors”
Depinning force dips at crystal-stripe crossover
A driven probe in a pattern-forming medium maps flow regimes and a stripe-edge Hall angle that purely repulsive systems lack.
· “Active Microrheology and Dynamic Phases for Pattern Forming Systems with Competing Interactions”
One threshold sets where quasiperiodic driving heats a system
A matrix-cocycle calculation gives the exact heating phase boundary and Lyapunov exponent for driven critical systems.
· “Phase Transitions in Quasi-Periodically Driven Quantum Critical Systems: Analytical Results”
Counter-adiabatic strokes boost a quantum engine's power
On an NMR processor, the shortcut engine beats the non-adiabatic one at short driving times, even paying the shortcut's energy cost.
A few altruists dissolve the harmful clustering of selfish agents
Hydrodynamics shows altruists act as surfactants and sharply cut the barrier to the optimal state.
· “Hydrodynamics of Cooperation and Self-Interest in a Two-Population Occupation Model”
Flow upsamples 4x4 MCMC samples to 128x128 field theories
RG-inspired flow keeps ESS/N above 80 percent in symmetric and broken phases for 2D phi4.
· “Super-Resolving Normalising Flows for Lattice Field Theories”
A wall outside the horizon reproduces random-matrix chaos
Scalar and fermion modes near the BTZ horizon show Wigner-Dyson spacing, a linear ramp, and Krylov peaks.
· “Brickwall One-Loop Determinant: Spectral Statistics & Krylov Complexity”
Stochastic model predicts optimal load for random-vibration harvesters
Simulations match both load types, locating the resistance that maximizes harvested power.
· “Stochastic Model for a Piezoelectric Energy Harvester Driven by Broadband Vibrations”
Numerics back the flow M(3,10)+φ1,7→M(3,8)
Renormalized truncation spectra match M(3,8) on the PT boundary; M(3,5) and M(3,7) fits fail.
· “Testing the RG-flow M(3,10)+φ_(1,7)to M(3,8) with Hamiltonian Truncation”
Non-Abelian ETH passes seven numerical tests on an 18-qubit chain
SU(2)-symmetric Heisenberg model supports a generalized eigenstate thermalization hypothesis for noncommuting charges.
· “Numerical evidence for the non-Abelian eigenstate thermalization hypothesis”
Stochastic projectors make tensor networks both fast and unbiased
Sampling projectors whose average is the identity removes truncation bias and shrinks statistical error exponentially.
· “Markov Chain Monte Carlo in Tensor Network Representation”
Quench counting formula fails at sixth cumulant
Curved hydrodynamic paths carry long-range correlations that rewrite higher-order fluctuation statistics.
· “Full counting statistics after quantum quenches as hydrodynamic fluctuations”
Heat kernel turns thermal effective action into Polyakov-loop sums
Systematic dimension-six thermal effective actions now include Polyakov-loop effects to all orders.
Heat capacity appears as out-of-phase heat flux
A driven system's steady-state heat capacity equals the low-frequency cosine response of its heat flux to periodic temperature changes.
Flat vs radial geometry splits linear growth universality
Universal height and covariance statistics differ by geometry, even in linear growth classes.
Quench makes the butterfly cone open faster than light
Holographic OTOC computation in BTZ-Vaidya shows a transient superluminal chaos front with saturated Lyapunov bounds.
Same spin model has two different fourth-order critical points
At fixed energy, the BEG model shows reentrant transitions and temperature jumps that the fixed-temperature ensemble misses.
· “Ensemble inequivalence in the Blume-Emery-Griffiths model near a fourth order critical point”
Swap step gets faster and lighter in tensor renormalization
In the 4D Ising model, the rewritten ATRG bond swap matches the original free energy while cutting time and memory.
· “Cost Reduction of Swapping Bonds Part in Anisotropic Tensor Renormalization Group”
Tweaked quantization condition handles bound states and resonances
Extended formalism extracts dimer–particle scattering, including a deuteron–triton toy model.
Bigger influence groups make full and partial adoption coexist
In small groups with q>=3, extra initial support stops raising the odds of full consensus.
· “Modeling biases in binary decision-making within the generalized nonlinear q-voter model”
Quantum thermalization collapses at a maximal-chaos peak
The fidelity susceptibility's peak marks the ergodicity-breaking point and grows as the square of the density of states.
Time-correlated noise lifts breather-only odds to ~90%
Spatial correlations push the same odds to ~60%, giving experimenters two new tuning knobs.
Closed-shell magic clusters stop being possible near r/σ ≈ 20
Geometry itself forbids closed shells at large cluster sizes—terraced 'football' clusters take their place.
Multiscalar theory space is curved: Ricci grows like N^7
No choice of the flow metric can flatten the coupling space, and the potential extends F-tilde to a gradient-flow theorem.
Exact steady-state formula found for boundary-driven XXZ circuits
A two-replica ansatz solves the NESS, and a resonance yields robust spin-helix states.
· “Exact NESS of XXZ circuits boundary driven with arbitrary resets or fields”
Restart helps biased walkers only past a critical gap
An exact survival rate shows resetting beats plain drift once the starting distance exceeds a q-dependent threshold.
· “Survival probabilities in biased random walks: To restart or not to restart? that is the question”
EEG q parameter rises for whole-brain activity and falls with age
A single fitted value tracks neural complexity: pooled channels outrank single ones, and theta power tracks q.
Escape rate gains a quantum boost from two frequencies
A simple variational argument gives the enhancement without imaginary-time path integrals, matching earlier quantum results.
· “Dirac's variational approach to semiclassical Kramers problem in Smoluchowski limit”
Critical exponents vary continuously in a solvable spin chain
For $1<\alpha<2$ the dynamic exponent is $\alpha-1$; for $\alpha\ge2$ it is $1$, making the universality class tunable.
· “Continuously varying critical exponents in an exactly solvable long-range cluster XY mode”
Complex entanglement entropy confirms complex CFT scaling
A biorthogonal reduced density matrix makes entropy complex and exposes the universal scaling law.
· “Complex entanglement entropy for complex conformal field theory”
Arms race math caps immune arsenals at about 10
New model says metabolic and autoimmune costs of each defense layer set a finite ceiling on how many systems a cell or virus can keep.
Continuum limit turns pandemics into a heat equation
The derived diffusion constant is set by patch population and spacing, not by hand.
· “A spatially varying differential equation for multi-patch pandemic propagation”
Sparse Wishart top eigenpair equals a stability threshold
Population dynamics pinpoints the top eigenpair of sparse covariance matrices, matching diagonalisation.
Aging detected in velocity correlations of heated granular gas
Slower decay with longer waiting time shows a 3D dissipative gas remembers its past velocities.
Weak data modes drive overfitting in energy models
Exact early-stopping times and a test-error formula follow from the covariance spectrum.
· “A theoretical framework for overfitting in energy-based modeling”
Brownian heat-engine power dies as damping shrinks
Full-cycle optimal control finds cycle time blows up at low damping; tuned temperature profiles still lift efficiency.
· “Optimal constrained control for generally damped Brownian heat engines”
A local echo reveals the size of the accessible Hilbert space
In cold-atom snapshots, the subsystem Loschmidt echo measures entropy and Hilbert-space fragmentation directly.
· “Probing quantum many-body dynamics using subsystem Loschmidt echos”
One impurity turns the quantum XX chain into a two-channel Kondo system
Impurity entropy reaches ln√2, a non-integer overscreening signature, with a sharp transition at coupling J=√2.
· “Two Channel Kondo behavior in the quantum XX chain with a boundary defect”
Overdamped shear modes beat Debye phonons in liquid heat capacity
Revising phonon theory with a linear density of states and intramolecular vibrations cuts error two- to threefold.
Squeeze raises a 2D magnet's Curie temperature
Monte Carlo study maps how tensile, compressive, and shear strain change magnetic order in flexible 2D materials.
Conformal map fixes ASEP normalization zeros
The non-equilibrium normalization's zeros accumulate on explicit circle-images that match the known phase boundaries.
· “Partition Function Zeros of Paths and Normalization Zeros of ASEPS”
All two-magnon zero modes of the alternating chain solved exactly
A generalized Bethe ansatz also captures most three-magnon zero-energy states and gives closed-form entanglement.
· “Exact generalized Bethe eigenstates of the non-integrable alternating Heisenberg chain”
First full one-loop power spectrum from Newtonian particle dynamics
Matches numerical simulations on large scales; shows 10-20% deviations on intermediate and small scales.
· “Cosmic Large-Scale Structure Formation from Newtonian Particle Dynamics”
Quantum Mpemba effect predicted in phase-quenched Josephson dots
A Green's-function analysis shows both Mpemba types in short junctions and type-II dominance with spin-orbit coupling.
· “Green's Function Approach to Josephson Dot Dynamics and Application to Quantum Mpemba Effects”
Truncated unitary products: moments match Erlang delay function
One ratio τ = LδN/N controls singular-value density and von Neumann entropy in monitored circuits.
· “Entropy and singular-value moments of products of truncated random unitary matrices”
Rare currents in 2D flow along nonlocal structured paths
A mobility-weighted curl condition forces structured transverse currents, so weak additivity dominates strong in d>1.
Exact kurtosis says when fractional Brownian motion is non-Gaussian
Markovian switching relaxes kurtosis to 3; power-law dwell times keep it above 3 on every observed scale.
· “Evaluating Gaussianity of heterogeneous fractional Brownian motion”
Open-system entropy follows a Page curve at zero temperature
Entropy falls only while heat flows out; the turnover marks half the energy gone.
· “Thermodynamics of the Page curve in Markovian open quantum systems”
Crystal diffusion lands 0.005 Å from DFT ground states
It also steers crystal symmetry, so users can request a target point group for inverse materials design.
Spin-glass hardness peaks at about 1.8 couplings per spin
Population annealing beats simulated annealing right at the peak, and its adaptive schedule removes a key tuning knob.
· “Problem hardness of diluted Ising models: Population Annealing versus Simulated Annealing”
One extra variable restores crystal thermodynamics
Treating the number of lattice sites as extensive yields a new force ν and an adsorption equation for solids.
New bound ties response precision to quantum jump activity
Precision is capped by jump activity plus a genuinely quantum transition term the classical bound misses.
· “Response kinetic uncertainty relation for Markovian open quantum systems”
Coupled nematic-polar order creates a new universality class
Minimal model finds string-confined +1/2 defects; simulations match predicted phase boundaries and tension law.
· “Phase diagram, confining strings, and a new universality class in nematopolar matter”
Memory friction pushes transition-path peaks above 1/2
Theory and simulation show the 1/2 reaction-coordinate benchmark is crossed twice, so it cannot certify Markovianity.
Mitigation does not lift the zero threshold on scale-free networks
A logistic-style suppression keeps prevalence rising even as the edge-reachable infected fraction peaks.
· “Susceptible-Infected-Susceptible dynamics with mitigation in connection of infected population”
Finite-size Blume-Capel criticality is not yet asymptotic at N=1500
Fisher, crystal-field, and Lee-Yang zeros all show effective exponents that drift slowly toward mean-field values.
· “Partition function zeros for the Blume-Capel model on a complete graph”
Neural nets spot the many-body critical phase in raw spectra
Trained on plain eigenvalue spacings, the classifiers match known boundaries and reproduce scaling exponents from standard methods.
Frustration-free spin-ice lattice orders and stays ergodic
XMCD reveals Type I/Type A order and ergodic relaxation across all temperatures
Few quantum contacts keep free-fermion entropy sub-extensive
Each added contact contributes entropy proportional to subsystem size times energy, a one-dimensional signature.
· “The Eigenstate Thermalization Hypothesis in a Quantum Point Contact Geometry”
