Generalized virial theorem and pressure relation for a strongly correlated Fermi gas

By Shina Tan. 2008

351 citations recorded by the source corpus.

Abstract For a two-component Fermi gas in the unitarity limit (i.e., with infinite scattering length), there is a well-known virial theorem, first shown by J.E. Thomas et al. A few people rederived this result, and extended it to few-body systems, but their results are all restricted to the unitarity limit. Here I show that there is a generalized virial theorem for FINITE scattering lengths. I also generalize an exact result concerning the pressure to the case of imbalanced populations.

Subfields: Atomic and Molecular Physics, and Optics, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/fa3ba37267c2d76dcf5d1901f7d5551b3c2c0f34

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

The BCS–BEC crossover: From ultra-cold Fermi gases to nuclear systems (2018, background): “A major advance in the understanding of the physical properties of many-body systems with short-range interaction (like ultra-cold Fermi gases) has recently come from the introduction of a set of universal relations, expressed in terms of a quantity called the contact C, which connect the strength o”
Comparing and contrasting nuclei and cold atomic gases (2013, background): “…where the so-called Tan relations can be used to deduce properties of bulk many-body systems from basic knowledge of few-body quantities (Tan 2008a, Tan 2008b, Tan 2008c, Braaten & Platter 2008, Combescot et al. 2009, Barth & Zwerger 2011, Pricoupenko 2011, Valiente et al. 2011, Langmack et al.…”
Universal few-body physics and cluster formation (2017, methodology): “hat are well described by a separable wavefunction ansatz and its crude improvements at the next level of approximation. One such property identied by Shina Tan in a groundbreaking series of papers (Tan, 2008a,b,c) is the \high energy" limit of the pair correlation function. This Tan contact pa”
Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, background): “Tan defined the contact density C via [79, 80, 81]”
Fermi gases in one dimension: From Bethe ansatz to experiments (2013, background): “Tan (2008a, 2008b,2008c) has shown that a few universal relations for two-component interacting fermions involve an extensive quantity called the universal contact C.”