Feynman diagrams versus Fermi-gas Feynman emulator
By K. V. Houcke, F. Werner, E. Kozik, N. Prokof’ev, B. Svistunov, M. Ku, A. Sommer, L. Cheuk, A. Schirotzek, M. Zwierlein. Nature Physics, 2011
162 citations recorded by the source corpus.
A cross-validation study comparing experimental findings obtained with a system of ultracold fermions with the results of a method based on computing contributions from millions of Feynman diagrams underlines the potential of the so-called bold diagrammatic Monte Carlo technique for solving problems in the area of strongly correlated quantum matter. 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 Carlo1,2,3, and precision experiments on ultracold atoms. Specifically, we compute and measure, with unprecedented precision, the normal-state equation of state of the unitary gas, a prototypical example of a strongly correlated fermionic system4,5,6. Excellent agreement demonstrates that a series of Feynman diagrams can be controllably resummed in a non-perturbative regime using bold diagrammatic Monte Carlo.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/e1d43165fb8426c31b7bef500c74576356e72916
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In Atomic and Molecular Physics, and Optics
- Mark Saffman
- I. Bloch
- Mikhail D. Lukin
- E. Demler
- M. Zwierlein
- Lincoln D. Carr
- Ian B. Spielman
- Christopher R. Monroe
Citations in the corpus
- A Guided Tour of ab initio Nuclear Many-Body Theory (2020, background): “Examples include sampling the intermediate-state summations in MBPT [164], diagrammatic expansions [165, 166, 167], or the coefficients of correlated CC [168] or (No-Core) CI wave functions [137, 138, 169, 170, 171].”
- Quantum simulation of the Hubbard model with ultracold fermions in optical lattices (2018, unknown): “ focused on the study of superuidity in trapped two-component Fermi gases with strong interactions [18], for instance the BEC-BCS crossover [19,20,21,22,23,24,25] and various thermodynamic properties [26,27,28,29,30]. Moreover, a more complete analogy to solid-state systems can be realized in the pr”
- Quantum Simulators: Architectures and Opportunities (2019, background): “on strongly interacting fermionic matter [9, 10], are complemented by more bottom-up approaches with fully resolved control over smaller numbers of elements.”