Energy of N two-dimensional bosons with zero-range interactions

B. Bazak; D. S. Petrov

doi:10.1088/1367-2630/aaa64f

Energy of N two-dimensional bosons with zero-range interactions

B. Bazak
, D. S. Petrov^*

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We derive an integral equation describing N two-dimensional bosons with zero-range interactions and solve it for the ground state energy B _N by applying a stochastic diffusion Monte Carlo scheme for up to 26 particles. We confirm and go beyond the scaling B _N ∝ 8.567^N predicted by Hammer and Son (2004 Phys. Rev. Lett. 93 250408) in the large-N limit.

Original language	English
Article number	023045
Journal	New Journal of Physics
Volume	20
Issue number	2
DOIs	https://doi.org/10.1088/1367-2630/aaa64f
State	Published - Feb 2018

Bibliographical note

Publisher Copyright:
© 2018 The Author(s). Published by IOP Publishing Ltd on behalf of Deutsche Physikalische Gesellschaft.

Keywords

Bose gas
two-dimensional systems
zero-range interaction

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10.1088/1367-2630/aaa64f

Cite this

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abstract = "We derive an integral equation describing N two-dimensional bosons with zero-range interactions and solve it for the ground state energy B N by applying a stochastic diffusion Monte Carlo scheme for up to 26 particles. We confirm and go beyond the scaling B N ∝ 8.567N predicted by Hammer and Son (2004 Phys. Rev. Lett. 93 250408) in the large-N limit.",

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AB - We derive an integral equation describing N two-dimensional bosons with zero-range interactions and solve it for the ground state energy B N by applying a stochastic diffusion Monte Carlo scheme for up to 26 particles. We confirm and go beyond the scaling B N ∝ 8.567N predicted by Hammer and Son (2004 Phys. Rev. Lett. 93 250408) in the large-N limit.

KW - Bose gas

KW - two-dimensional systems

KW - zero-range interaction

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Energy of N two-dimensional bosons with zero-range interactions

Abstract

Bibliographical note

Keywords

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