Semidefinite Programs at Finite Fermion Density

Abstract

Semidefinite programs can be constructed to provide a non-perturbative view of the zero-temperature behavior of quantum systems. This paper examines the properties of these semidefinite programs when applied to lattice-regulated field theories exhibiting fermion sign problems. Specifically on the finite-density Thirring model, there is no indication that the accuracy of semidefinite programs suffers from any difficulty analogous to the sign problem.

arXiv comment7 pages, 5 figures; final version

References in corpus (26)

• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Bounding scalar operator dimensions in 4D CFT
• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
• The QCD thermal phase transition in the presence of a small chemical potential
• Bounding the set of quantum correlations
• Precision Islands in the Ising and $O(N)$ Models
• A new method to study lattice QCD at finite temperature and chemical potential
• The chiral critical line of N_f=2+1 QCD at zero and non-zero baryon density
• Functional integrals for QCD at nonzero chemical potential and zero density
• Extremal Effective Field Theories
• Lattice QCD at finite density via a new canonical approach
• Finite density QCD with a canonical approach
• Stochastic quantization at finite chemical potential
• A Monte Carlo algorithm for simulating fermions on Lefschetz thimbles
• Bootstrapping Matrix Quantum Mechanics
• Scalable Semidefinite Programming
• Loop Equations and bootstrap methods in the lattice
• Finite-Density Monte Carlo Calculations on Sign-Optimized Manifolds
• Deep Learning Beyond Lefschetz Thimbles
• Monte Carlo calculations of the finite density Thirring model
• Solving condensed-matter ground-state problems by semidefinite relaxations
• A note on the S-matrix bootstrap for the 2d O(N) bosonic model
• Finite Density $QE{D}_{1+1}$ Near Lefschetz Thimbles
• Thirring model at finite density in 0+1 dimensions with stochastic quantization: Crosscheck with an exact solution
• Bootstrapping More QM Systems

Cited by in corpus (5)

• Lower Bounding Ground-State Energies of Local Hamiltonians Through the Renormalization Group
• Solving anharmonic oscillator with null states: Hamiltonian bootstrap and Dyson-Schwinger equations
• ${\varphi }^n$ trajectory bootstrap
• Analytic trajectory bootstrap for matrix models
• Bootstrapping periodic quantum systems