REVIEW 17 cited by
Identifying the maximum entropy method as a special limit of stochastic analytic continuation
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Identifying the maximum entropy method as a special limit of stochastic analytic continuation
read the original abstract
The maximum entropy method is shown to be a special limit of the stochastic analytic continuation method introduced by Sandvik [Phys. Rev. B 57, 10287 (1998)]. We employ a mapping between the analytic continuation problem and a system of interacting classical fields. The Hamiltonian of this system is chosen such that the determination of its ground state field configuration corresponds to an unregularized inversion of the analytic continuation input data. The regularization is effected by performing a thermal average over the field configurations at a small fictitious temperature using Monte Carlo sampling. We prove that the maximum entropy method, the currently accepted state of the art, is simply the mean field limit of this fully dynamical procedure. We also describe a technical innovation: we suggest that a parallel tempering algorithm leads to better traversal of the phase space and makes it easy to identify the critical value of the regularization temperature.
Forward citations
Cited by 17 Pith papers
-
Trion Excitations in Twisted Bilayer Graphene: A Quantum Monte Carlo Study
Finite-temperature QMC of twisted bilayer graphene finds gapless 'Dirac trion' three-particle excitations in the normal state, exactly orthogonal to electrons at the Γ point.
-
Monte Carlo Studies of Twisted Bilayer Graphene: Strain and Thermal Fluctuations
Sign-problem-free quantum Monte Carlo shows that strained twisted bilayer graphene at charge neutrality hosts a KIVC insulator bounded by Dirac and anisotropic semimetals, with a 15–40 K entropy plateau from a Mott-li...
-
Discovering a well-conditioned analytic continuation problem via dictionary learning
RSOM applies dictionary learning to discover a sparse dictionary that conditions the analytic continuation inverse problem, yielding competitive results on synthetic tests and finite-temperature electron gas QMC data.
-
Conditional Model-Adequacy Tests for Spectral Uncertainty Claims in Lattice QCD
Introduces target-wise model-adequacy tests on Euclidean-admissible mock correlators to evaluate coverage properties of reported spectral uncertainties in lattice QCD reconstructions.
-
Certified spectral functions from lattice Monte Carlo data
A hierarchy of semidefinite programs provides rigorous bounds on spectral density functionals from Monte Carlo data subject to reflection positivity, converging to statistical error limits.
-
Mott transition of photons: quantum Monte Carlo study of Gross-Neveu criticality in a cavity
Cavity photons undergo a Mott transition that mirrors the electronic Gross-Neveu criticality, with the electron-photon coupling irrelevant at the critical point.
-
Dynamical magnetotropic susceptibility as a new probe of Kitaev materials and beyond
Dynamical magnetotropic susceptibility k(ω) acts as a probe of uniform spin and charge fluctuations, with its static scaling in α-RuCl3 arising specifically from dominant Kitaev interactions in the models examined.
-
Quantum Fisher Information as a Thermal Probe in Frustrated Magnets through Insights from Quantum Spin Ice
Quantum Fisher information computed for the pyrochlore quantum-spin-ice model maps its phase diagram and thermal crossover scales, establishing it as a thermal/dynamical probe accessible to neutron scattering.
-
Deconfined criticality between an antiferromagnetic insulator and a nodal d-wave superconductor: a quantum Monte Carlo study
QMC study with parton construction finds second-order deconfined criticality between Néel antiferromagnet and d-wave superconductor, with gapless Dirac dispersion in the SC phase.
-
Deconfined criticality between an antiferromagnetic insulator and a nodal d-wave superconductor: a quantum Monte Carlo study
Quantum Monte Carlo study with partons finds evidence for a continuous second-order deconfined transition where both Néel and d-wave orders vanish simultaneously.
-
Correlated Mott semi-metal in the topological heavy fermion model
Hubbard operator method captures coupling between localized and itinerant electrons in the topological heavy fermion model, agreeing with DQMC while local approximations like Hubbard-I fail.
-
Quantum Monte Carlo fermion spectroscopy of a non-compact CP$^1$ model
QMC simulations of a hedgehog-suppressed electron-boson model show the electron gap resembles mean-field AF dispersion while preserving symmetries.
-
Quantum decay of magnons in the unfrustrated honeycomb Heisenberg model
On the honeycomb-lattice Heisenberg antiferromagnet, one-magnon excitations at the K-point carry no spectral weight in the thermodynamic limit—the magnon fully decays into a multi-magnon continuum.
-
Quantum Monte Carlo studies of U(1) lattice gauge models of Kondo breakdown
In a sign-problem-free U(1) gauge model, QMC shows the composite-fermion Drude weight collapses as gauge fluctuations drive the f-sector into a Mott-localized Kondo-breakdown regime.
-
Single-hole spectral functions in one-dimensional quantum magnets with different ground states
Constrained analytic continuation of QMC data resolves single-hole spectra of 1D spin chains, showing a holon-band gap the spin-charge separation ansatz misses and bound spin-polaron states in dimerized phases.
-
The noiseless limit and improved-prior limit of the maximum entropy method and their implications for the analytic continuation problem
Maximum-entropy analytic continuation becomes linear, Bryan's algorithm becomes valid, and MSE scaling improves in the limit where the estimator sits close to the Bayesian prior.
-
Emergent gauge flux in mixed QED$_3$ with flavor chemical potential: application to magnetized U(1) Dirac spin liquids
Lattice DQMC simulations of mixed QED3 with flavor chemical potential identify a chiral flux phase featuring spontaneous emergent gauge flux, broken U(1)m symmetry, and relativistic Landau levels for Dirac fermions.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.