Quantum many-body calculations using body-centered cubic lattices
نویسندگان
چکیده
It is often computationally advantageous to model space as a discrete set of points forming lattice grid. This technique particularly useful for difficult problems such quantum many-body systems. For reasons simplicity and familiarity, nearly all calculations have been performed on simple cubic lattices. Since the removal artifacts an important concern, it would be perform using more than one geometry. In this work we show how auxiliary-field Monte Carlo simulations three-dimensional body-centered (BCC) lattice. As benchmark test compute ground state energy 33 spin-up spin-down fermions in unitary limit, which idealized limit where interaction range zero scattering length infinite. fraction free Fermi gas $E_{\rm FG}$, find that $E_0/E_{\rm FG}= 0.369(2), 0.371(2),$ two different definitions finite-system ratio. excellent agreement with recent results obtained \cite{He:2019ipt}. We computational effort performance BCC approximately same number points. discuss geometries can used constrain size continuum
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ژورنال
عنوان ژورنال: Physical Review C
سال: 2021
ISSN: ['2470-0002', '2469-9985', '2469-9993']
DOI: https://doi.org/10.1103/physrevc.104.044304