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arXiv · 1208.6556

Lattice methods for strongly interacting many-body systems

Joaquín E. Drut·Amy N. Nicholson
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Abstract

Lattice field theory methods, usually associated with non-perturbative studies of quantum chromodynamics, are becoming increasingly common in the calculation of ground-state and thermal properties of strongly interacting non-relativistic few- and many-body systems, blurring the interfaces between condensed matter, atomic and low-energy nuclear physics. While some of these techniques have been in use in the area of condensed matter physics for a long time, others, such as hybrid Monte Carlo and improved effective actions, have only recently found their way across areas. With this topical review, we aim to provide a modest overview and a status update on a few notable recent developments. For the sake of brevity we focus on zero-temperature, non-relativistic problems. After a short introduction, we lay out some general considerations and proceed to discuss sampling algorithms, observables, and systematic effects. We show selected results on ground- and excited-state properties of fermions in the limit of unitarity. The appendix contains details on group theory on the lattice.

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Joaquín E. Drut, Amy N. Nicholson. 2013-09-17. Lattice methods for strongly interacting many-body systems. https://doi.org/10.1088/0954-3899%2F40%2F4%2F043101

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