Feynman diagrams versus Fermi-gas Feynman emulator

Abstract

Precise understanding of strongly interacting fermions, from electrons in modern materials to nuclear matter, presents a major goal in modern physics. However, the theoretical description of interacting Fermi systems is usually plagued by the intricate quantum statistics at play. Here we present a cross-validation between a new theoretical approach, Bold Diagrammatic Monte Carlo (BDMC), and precision experiments on ultra-cold atoms. Specifically, we compute and measure with unprecedented accuracy the normal-state equation of state of the unitary gas, a prototypical example of a strongly correlated fermionic system. Excellent agreement demonstrates that a series of Feynman diagrams can be controllably resummed in a non-perturbative regime using BDMC. This opens the door to the solution of some of the most challenging problems across many areas of physics.

References in corpus (13)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
• Thermodynamics of the BCS-BEC crossover
• Phase diagram of a two-component Fermi gas with resonant interactions
• Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
• Virial expansion for a strongly correlated Fermi gas
• Bold Diagrammatic Monte Carlo: When Sign Problem is Welcome
• Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity
• Determination of the Equation of State of a Two-Component Fermi Gas at Unitarity
• The Equation of State of the Unitary Fermi Gas: An Update on Lattice Calculations
• Spin 1/2 Fermions in the Unitary Regime at Finite Temperature

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