Bilevel QAOA yields fully connected QBM at single layer
Inner loop minimizes energy while outer loop tunes Hamiltonian parameters, hitting 0.9559 target probability noiseless and staying dominant,
cond-mat.stat-mech
Statistical Mechanics
Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
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Lower initial magic yields faster magic growth
Spatial structure inside charge sectors, not total charge or starting magic, sets the speed of nonstabilizerness generation in symmetric cir
Simulations establish stable charge-4e superconductivity at zero temperature
In the attractive SU(4) Hubbard model, quartet order replaces pair order at strong coupling through a non-Landau transition whose exponents
Generalized symmetries fragment Hilbert space into exponential sectors
Exponential Krylov sectors no longer signal ergodicity breaking when higher-form or non-invertible symmetries are present.
Extremal Ito paths fix decay-rate calculation for metastable states
Removes a mathematically hard-to-justify step in path-integral derivations of escape rates.
Shot noise limits single ion channel voltage accuracy to 10 mV
Thermal fluctuations from discrete ions set a hard bound on 10 microsecond gating timescales close to observed performance.
· “Thermal fluctuations set fundamental limits on ion channel function”
Fluctuating diffusivity unifies non-Gaussian Brownian motion and anomalous diffusion
A single stochastic model produces linear mean-square displacement with non-Gaussian statistics plus trajectory variability and ageing in 60
Spin sharpening and entanglement coincide in SU(2) circuits
A loop-model theory predicts a single transition, with no area-law phase and learning times scaling as L^3 or L^2.
· “Statistical Mechanics of Non-Abelian Learnability Transitions”
Hidden conserved family pins two automata's sound speed to sqrt(3/23)
A rigorous lower bound on Euler speed that matches the extrapolated 0.361 for the species-flipping rule.
Riesz gases lock to a hard wall only past a critical distance
Weak long-range forces keep a bulk component; strong ones fully confine the gas past an exact wall threshold.
· “Confinement transitions in half-space constrained Riesz gases”
Disordered photon gases obey the Gauss–Kuzmin statistic
No fitting parameters: the most probable photon counts in a disordered cavity array follow a number-theory distribution.
· “Universal entropic occupation statistics in disordered bosonic resonators”
Non-reciprocity ends aging, keeps FDT broken
In a spherical spin glass, any Γ<1 restores time-translational invariance, yet the steady state still violates fluctuation-dissipation.
· “Fluctuation-dissipation violations in mean-field non-reciprocal spin glasses”
Holstein model has no nontrivial local conserved quantities
Rigorous proof for the one-dimensional electron-phonon system shows only the Hamiltonian and fermion number are conserved locally, enabling,
· “Proof of the absence of local conserved quantities in the Holstein model”
KdV soliton gas positions defined by fluid-cell projection
The projection leaves the field unchanged in mesoscopic regions and allows conserved densities to be computed from the density of states.
Two-layer nets cut critical slowing down to log scaling
Diffusion models for the O(n) model train in time that grows only logarithmically with size when locality is built into the architecture.
Local quantum information advances ballistically
Scale-resolved information profiles in Haar and Clifford circuits collapse onto a shifted Tracy-Widom curve.
· “Dynamics of local quantum information in random unitary circuits”
Three spectral regimes explain the turbulence bottleneck
Voigt-regularised turbulence shows an energy bump built from two equilibrium ranges, not pure dissipation.
· “Dynamical slowdown, bottlenecks, and multiscaling in Voigt-regularised turbulence”
A looped transformer that repeatedly applies the same network can solve problems using…
Training selects one of several dynamical phases in looped transformers, and only the fold phase obeys the parameter-free compute-scaling…
· “Dynamical phase selection controls compute scaling in looped transformers”
Engineered dissipation yields the Yang-Lee critical point exactly
String-observable expectation values equal the Yang-Lee partition function, making criticality a measurable damping transition.
Exact formula covers all current fluctuation regimes in an active gas
Scaling depends on how the initial state is averaged, and memory of that state survives at long times
· “Current fluctuations in a gas of active Ornstein-Uhlenbeck particles”
Diffusion training loss has an exact irreducible floor
It is the Fisher–Rao trace of the conditional endpoint family — a mutual information accumulated under Gaussian noise.
· “The Loss Floor of Denoising Score Matching: Fisher Geometry from Schr\"odinger Bridges”
Fractal deposits jam at densities falling as a power law
Larger ramified DLA clusters leave more empty space; mixing in diverse shapes packs them denser.
· “Jamming states in random sequential adsorption of diffusion-limited aggregates”
Dissipation and memory time bound the error of computation
Accurate computation in changing environments needs dissipation or long-lived memory.
· “Entropy Production Bounds the Accuracy of Computation in Markov Networks”
Balance locates coexistence
A decorated bilayer test shows coexistence and recovers the known interface tension without building an interface.
· “Weak irreducibility as a spectral criterion for phase coexistence”
RG flow matching lets local patches build long-range structure
An exact RG flow as the probability path provably needs patches of only $O(\log L)$ size and still reproduces global correlations.
· “Renormalization Group Flow Matching for Scalable Local Generative Modeling”
Observation time alone flips Chern number of stochastic trajectories
A five-state network's fixed process cycles through Chern sectors 0, −1, 0, −1, 0 as observation time alone changes.
· “Non-Abelian Spin Counting of Ordered Stochastic Trajectories: Reentrant Finite-Time Chern Numbers”
First Fourier mode decides how biased tumblers move
MSD, mean displacement, and orientation correlators reduce to two effective numbers: persistence and chirality.
A single inequality bounds temperature response in every steady state
Holds for driven steady states without kinetic parameters; at equilibrium it becomes the fluctuation-response equality.
No rare trajectories needed for free-energy estimates
EquiNET turns short current statistics into free energies even when work distributions never overlap.
· “Free-Energy Differences from Nonequilibrium Fluctuations in High Dissipation”
Broken-phase tricritical exponents depend on path of approach
At fixed effective-to-bath temperature the exponents are Landau mean-field; at fixed magnetic field they are not.
Density matrices, not Hamiltonians, set QMC's true scope
One unified framework now computes entropies, negativities, and quantum magic in large sign-free systems.
· “Quantum Monte Carlo in the Age of Many-Body Quantum Information”
Random bonds can't knock Lévy-SAW out of its universality class
Monte Carlo and field theory show the graph's random bonds leave the clean long-range exponents intact.
Strong transverse fields erase replica order in quantum glasses
A universal Hessian bound forces the quantum replica overlap to vanish at strong transverse field.
· “Correlation inequalities for transversal field models with application to quantum glasses”
Two-timescale memory reaches target loss 55 steps sooner than Muon's record
Swapping only the momentum kernel for fast and slow branches accelerates a frozen LLM training benchmark.
· “A Physical Response-and-Memory Model for Muon Optimization”
After heat death, quantum complexity follows Cmax e^{-1/t}
A derivation from quantized information replaces the conjecture, making linear growth only a brief early phase.
· “`It from Bit': is there a second law of quantum complexity?”
Equilibrium magic is set by temperature alone
One thermal ensemble predicts the same magic for eigenstates and late-time evolved states.
· “Universal equilibrium magic in quantum many-body systems”
One kinetic scalar tightens Markov-cycle spectral bounds
The Uhl-Seifert boundary is reached only by uniform cycles; every nonuniform cycle sits strictly inside it.
· “Coarse-grained kinetic scale tightens thermodynamic spectral bounds of Markov cycles”
This note simulates a simple rule in which an ensemble of probability values repeatedly…
Simulations of a random copying process show that the final consensus probability is drawn from the same distribution as the initial…
· “Note on Boltzmann's H-Theorem and Detailed Balance Dynamics”
The paper simulates Q-learning agents playing prisoner's dilemma on networks and varies…
Q-learning agents in spatial prisoner's dilemma cooperate most when they observe roughly three to four neighbors, a non-monotonic effect…
· “Evolution of cooperation with Q-learning: how much information do we need?”
Researchers built a microfluidic chip that sorts microscopic self-propelled particles by…
A curved microfluidic chip progressively separates fast and slow self-propelled particles, demonstrating collective active demixing as a…
Kicked Ising pulses reverse a chaotic quantum evolution exactly
After t_r kicks forward and t_r kicks backward, fidelity returns to 1 and entropy to 0; one flipped qubit destroys the revival.
· “Time reversal of complex evolution on a quantum computer”
Loss landscape contracts near solutions as data complexity rises
Higher label mixing shrinks the volume of low-loss parameters close to the trained solution, not uniformly far away.
· “Dataset Complexity Shapes Finite-Distance Loss Geometry in Neural Networks”
Deleted-row matchings assemble into a spanning tree
For squared Euclidean costs the projected tree never crosses itself, backing the paper's SLE_2 uniform-spanning-tree conjectures.
· “Spanning trees in the Assignment Problem: two theorems and two conjectures”
A three-tone drive hits exactly third-order quantum ergodicity
Fourth-order statistics keep a fingerprint of the initial state—a handle absent from full ergodicity.
· “Experimental Investigation of Tunable-Order Hilbert-Space Ergodicity”
Zero-frequency modes survive inside a gapless photonic lattice
Two coupled ring resonators and a trichromatic drive realize critical topological photonic states that current devices can build.
Trapped active particles: thermal and active motion exactly separate
The full distribution is an Ornstein-Uhlenbeck kernel times the noiseless run-and-tumble distribution.
One-step memory halves MaxCut search time on Ising machine
Temporal coupling between successive spin states replaces replica hardware and cuts anneal cycles to 95% accuracy by about half.
· “High-Efficiency Ising Machine with Time-Dimensional Exchange Coupling”
3D oriented-lattice walk is superdiffusive: t√log t
This confirms the predicted sqrt(log t) divergence in the critical dimension d=3.
· “Superdiffusivity of random walks on the three-dimensional randomly oriented Manhattan lattice”
Charge regulation makes hydrogels swell unevenly
Gels whose charges adapt to local conditions swell more than fixed-charge gels of the same total charge.
· “Non-uniform swelling of polyelectrolyte hydrogels: effects of charge regulation”
Entropy production bounds fluctuation costs in driven systems
Near equilibrium the bound becomes exact, extending McLennan-Zubarev beyond steady states.
· “Emergent Second Law for Time-Dependent Nonequilibrium States”
Motional energy turns gels into droplet clusters
Adding libration and dihedral terms to network Hamiltonian models flips low-T aggregation to droplets.
· “Motional Degrees of Freedom in Network Hamiltonian Models”
Measurement-induced transition survives non-integrable spin chains
A product initial state keeps the known square-root scaling; a GHZ state slows the vanishing in non-integrable models.
· “Scaling vs entanglement in measurement-induced phase transition for non-integrable systems”
100 snapshots pinpoint the ergodicity-breaking transition
Snapshot dimension and scale-free networks separate ergodic, critical, and non-ergodic regimes of the quantum sun model.
· “Many-body ergodicity breaking from wavefunction snapshots”
An inequality turns heat capacity into an entanglement witness
For interacting quantum systems, a bound on local heat capacities detects entanglement and explains negative anomalies.
· “Anomalous Local Heat Capacity and Bipartite Entanglement”
Exact subsystem dynamics in free-fermion chains via Lyapunov equations
The method yields the exact time-local Lindblad generator from the block propagator, negative rates and all.
· “Dissipative framework for subsystem dynamics of noninteracting quantum chains”
Random circuits map quantum chaos onto classical random walks
Operator spread, entropy growth, and spectral correlations all follow from one ensemble average.
· “Random quantum circuits, chaos and quantum thermalization”
No phase transition at J2=-1/4 in the frustrated honeycomb Ising model
At a special coupling the system stays disordered at all temperatures with residual entropy 0.23096093 per site.
· “Meandering stripes in the frustrated J₁-J₂ Ising model on the honeycomb lattice”
Metabolic networks are 54 percent sparser than thought
Random rewiring that preserves degree cannot reproduce metabolism's clustering or community structure.
· “Metabolic Network Properties: Comprehensive Analysis Across Domains”
Integrable spins stay ergodic but never mix
Entangling power proves the gap in the kicked Ising chain; two-qubit gates miss the Haar value.
Thermodynamic entropy turns SDPs into unconstrained concave problems
Boltzmann, Fermi-Dirac, and Bose-Einstein statistics each yield a thermal optimum and a gradient-ascent solver.
Gradient descent hits algorithmic energy floor in one glass phase
Exact asymptotic energies classify one-step, two-step, and continuous aging as the interaction mix changes.
· “Aging Phase Diagram and Exact Asymptotic Energies of Mixed Spherical Spin Glasses”
Social tipping obeys exact finite-size scaling laws
The minimum activist seed that triggers a full cascade has a calculable window width and fluctuation scale.
· “Exact Scaling Theory of Social Tipping Phenomena in Finite Populations”
Every fluctuation decomposes into one-response-per-event coordinates
Spontaneous jump events encode response exactly; the residual gap separates memory that matters.
Chaotic double pendulum flips predicted to 1 percent
A flux-over-saddle formula gives the mean flip rate at any energy, with chaotic trajectories matching at the few-percent level.
Potts learning hits a tricritical point with exponent 4/15
There, the Edwards-Anderson correlator decays with the exact Potts spin exponent, fixing the universality class.
· “Learning Potts Models and Z₃ Toric Codes: Higher and Ordinary Nishimori Criticality”
Ising meson masses all collapse onto one universal curve
One scaling parameter fixes the lightest meson mass and the number of stable branches in lattices and a real magnet.
· “Universal meson spectra near (1+1)-dimensional Ising criticality”
Quantum critical points must exist
For H=K+gV with self-averaging V, a transition always occurs inside an explicit interval.
· “Rigorous existence and location of quantum phase transitions in lattice Hamiltonian systems”
Complex strip geometry predicts non-Hermitian quench dynamics
Biorthogonal quenches in the Yang–Lee chain follow boundary-strip formulas with no real-time fitting.
· “Biorthogonal Conformal Dynamics in Non-Hermitian Quantum Quenches”
Quantum learning peaks before chaos
One coupling angle sweeps from weak to scrambled; the learning sweet spot sits in between, and scales with size.
Turing stripes outlast quantum witnesses as lattice grows
Same-mode NPT and P witnesses cross zero at 1/N noise, while stripe order persists and the gap grows with lattice size.
RL turns Trotter approximation errors into self-correction
An 8-spin policy controls 100-spin evolution from energy and variance alone, beating fixed-step and greedy Trotter.
· “Reinforcement Learning to Harness Approximation Errors for Long-Time Quantum Simulation”
Quantum entropy is the log-volume of compatible pure states
The new entropy counts pure states allowed by a preparation and gives closed-form scaling for partial traces.
Cooling flips 1T-TaS2 in avalanches
Heat-pulse tests trace the asymmetry to different energy barriers on each branch, a hint for all such transitions.
· “Fluctuation-Controlled Asymmetric Kinetics in Metal-Insulator Transitions”
Kibble-Zurek scaling verified at mesoscopic atom counts
Closed and open Dicke transitions yield exponents z, ν, μ from finite-N fits that satisfy 1/μ = 1/ν + z.
· “Kibble--Zurek Scaling in the Dicke Model at Mesoscopic Scales”
One formula gives the exact arithmetic Ising partition function
It yields exact free energy and entropy for the 2×2 lattice, where entropy rises at high temperature.
Power series matches helium's second virial coefficient from 65 K up
A quantum weight generated by recursion, cut off when its imaginary part passes pi/2, reproduces the data.
Complexity equals heat capacity—and peaks at phase transitions
For thermal systems, variance of surprise equals specific heat, so complexity peaks exactly at criticality.
· “Statistical complexity from fluctuations in the information content”
One martingale decides every allowed state transition
A relative-population criterion unifies majorization, fluctuation theorems, and reference-error certification.
Magnon noise carries the Chern numbers a Fermi surface hides
Equilibrium current fluctuations reveal how Chern numbers differ across populated bands, with no drive required.
· “Topology is not silent in the transport noise of multiband bosons”
ILP decoder beats matching decoders on three topological codes
It handles correlated noise and non-Abelian fusion rules that matching and clustering decoders miss.
· “Integer Linear Programming Decoder for Abelian and Non-Abelian Topological Codes”
