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

Racah Institute of Physics

The Hebrew University of Jerusalem

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

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

Keywords

Bose gas
two-dimensional systems
zero-range interaction

ASJC Scopus subject areas

General Physics and Astronomy

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10.1088/1367-2630/aaa64f

Cite this

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title = "Energy of N two-dimensional bosons with zero-range interactions",

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.",

keywords = "Bose gas, two-dimensional systems, zero-range interaction",

author = "B. Bazak and Petrov, \{D. S.\}",

note = "Publisher Copyright: {\textcopyright} 2018 The Author(s). Published by IOP Publishing Ltd on behalf of Deutsche Physikalische Gesellschaft.",

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language = "English",

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AU - Petrov, D. S.

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N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85043450788

U2 - 10.1088/1367-2630/aaa64f

DO - 10.1088/1367-2630/aaa64f

M3 - Article

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VL - 20

JO - New Journal of Physics

JF - New Journal of Physics

IS - 2

M1 - 023045

ER -

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

Abstract

Keywords

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