An effective Bethe ansatz approximates eigenstates of non-integrable quantum many-body models by adjusting Bethe roots to minimize physically motivated cost functions.
Ising field theory in a magnetic field: analytic properties of the free energy
6 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We study the analytic properties of the scaling function associated with the 2D Ising model free energy in the critical domain $T \to T_c$, $H \to 0$. The analysis is based on numerical data obtained through the Truncated Free Fermion Space Approach. We determine the discontinuities across the Yang-Lee and Langer branch cuts. We confirm the standard analyticity assumptions and propose "extended analyticity"; roughly speaking, the latter states that the Yang-Lee branching point is the nearest singularity under Langer's branch cut. We support the extended analyticity by evaluating numerically the associated "extended dispersion relation".
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uMPS simulations of φ⁴ theory in 1+1 dimensions extract elastic scattering probabilities and time delays that diverge near the critical point, serving as a dynamical signature of the quantum phase transition.
Four PT-symmetric 1+1D quantum models are mapped to the Yang-Lee critical point via state-operator correspondence and bosonization, with scaling dimensions matching exact 2D results and a numerically confirmed growing two-point function.
Real-time lattice Hamiltonian simulation of a three-particle Ising field theory suppresses Umklapp processes and produces relativistic hydrodynamics sound modes, extracting ζ/s=14.19±0.90 and c_s/c=0.76±0.02 at T≈7.14.
The spin one-point function in the critical Ising chain has a natural boundary of analyticity on the negative real axis after Borel resummation, with singularities matching those of an odd-divisor sum series.
Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.
citing papers explorer
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The Roaming Bethe Roots: An Effective Bethe Ansatz Beyond Integrability
An effective Bethe ansatz approximates eigenstates of non-integrable quantum many-body models by adjusting Bethe roots to minimize physically motivated cost functions.
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Real-time Scattering in \phi^4 Theory using Matrix Product States
uMPS simulations of φ⁴ theory in 1+1 dimensions extract elastic scattering probabilities and time delays that diverge near the critical point, serving as a dynamical signature of the quantum phase transition.
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Quantum models with the Yang-Lee phase transition
Four PT-symmetric 1+1D quantum models are mapped to the Yang-Lee critical point via state-operator correspondence and bosonization, with scaling dimensions matching exact 2D results and a numerically confirmed growing two-point function.
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Tame the Umklapp Processes in Real-Time Lattice Simulation for Hydrodynamics: An Ising Field Theory Study
Real-time lattice Hamiltonian simulation of a three-particle Ising field theory suppresses Umklapp processes and produces relativistic hydrodynamics sound modes, extracting ζ/s=14.19±0.90 and c_s/c=0.76±0.02 at T≈7.14.
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Analyticity, asymptotics and natural boundary for a one-point function of the finite-volume critical Ising chain
The spin one-point function in the critical Ising chain has a natural boundary of analyticity on the negative real axis after Borel resummation, with singularities matching those of an odd-divisor sum series.
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A note on the 2D NLSM free energy
Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.