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- W4229058319 abstract "The virial expansion provides a non-perturbative view into the thermodynamics of quantum many-body systems in dilute regimes. While powerful, the expansion is challenging as calculating its coefficients at each order n requires analyzing (if not solving) the quantum n-body problem. In this work, we present a comprehensive review of automated algebra methods, which we developed to calculate high-order virial coefficients. The methods are computational but non-stochastic, thus avoiding statistical effects; they are also for the most part analytic, not numerical, and amenable to massively parallel computer architectures. We show formalism and results for coefficients characterizing the thermodynamics (pressure, density, energy, static susceptibilities) of homogeneous and harmonically trapped systems and explain how to generalize them to other observables such as the momentum distribution, Tan contact, and the structure factor." @default.
- W4229058319 created "2022-05-08" @default.
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- W4229058319 date "2022-01-24" @default.
- W4229058319 modified "2023-09-27" @default.
- W4229058319 title "Toward an Automated-Algebra Framework for High Orders in the Virial Expansion of Quantum Matter" @default.
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- W4229058319 doi "https://doi.org/10.3390/condmat7010013" @default.
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