Ground state energy of mean field model of interacting bosons in Bernoulli potential

M. Bishop; J. Wehr

doi:10.1063/1.4818748

Ground state energy of mean field model of interacting bosons in Bernoulli potential

M. Bishop, J. Wehr

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

2 Scopus citations

Abstract

This paper explores the ground state energy of a system of interacting "soft core" bosons in a random Bernoulli potential in the Gross-Pitaevskii mean-field approximation. First, we prove a condition for a state to delocalize due to interaction. Using this condition, asymptotics for ground state energy per particle are derived in the large system limit for small values of the coupling constant. Our methods directly describe the shape of the ground state in a given realization of the random potential.

Original language	English (US)
Article number	081902
Journal	Journal of Mathematical Physics
Volume	54
Issue number	8
DOIs	https://doi.org/10.1063/1.4818748
State	Published - Aug 5 2013

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1063/1.4818748

Cite this

@article{cb3410495aca48a299864647234777fa,

title = "Ground state energy of mean field model of interacting bosons in Bernoulli potential",

abstract = "This paper explores the ground state energy of a system of interacting {"}soft core{"} bosons in a random Bernoulli potential in the Gross-Pitaevskii mean-field approximation. First, we prove a condition for a state to delocalize due to interaction. Using this condition, asymptotics for ground state energy per particle are derived in the large system limit for small values of the coupling constant. Our methods directly describe the shape of the ground state in a given realization of the random potential.",

author = "M. Bishop and J. Wehr",

note = "Funding Information: The authors would like to acknowledge M. Lewenstein, A. Sanp{\'e}ra, P. Massignan, and J. Stasi{\'n}ska for useful discussions following Ref. , and R. Sims and L. Friedlander for mathematical insight. The authors would like to thank G. Modugno for discussions on experiments related to this work. The work was partially supported by the National Science Foundation (NSF) Grant No. DMS 0623941.",

year = "2013",

month = aug,

day = "5",

doi = "10.1063/1.4818748",

language = "English (US)",

volume = "54",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "8",

}

TY - JOUR

T1 - Ground state energy of mean field model of interacting bosons in Bernoulli potential

AU - Bishop, M.

AU - Wehr, J.

N1 - Funding Information: The authors would like to acknowledge M. Lewenstein, A. Sanpéra, P. Massignan, and J. Stasińska for useful discussions following Ref. , and R. Sims and L. Friedlander for mathematical insight. The authors would like to thank G. Modugno for discussions on experiments related to this work. The work was partially supported by the National Science Foundation (NSF) Grant No. DMS 0623941.

PY - 2013/8/5

Y1 - 2013/8/5

N2 - This paper explores the ground state energy of a system of interacting "soft core" bosons in a random Bernoulli potential in the Gross-Pitaevskii mean-field approximation. First, we prove a condition for a state to delocalize due to interaction. Using this condition, asymptotics for ground state energy per particle are derived in the large system limit for small values of the coupling constant. Our methods directly describe the shape of the ground state in a given realization of the random potential.

AB - This paper explores the ground state energy of a system of interacting "soft core" bosons in a random Bernoulli potential in the Gross-Pitaevskii mean-field approximation. First, we prove a condition for a state to delocalize due to interaction. Using this condition, asymptotics for ground state energy per particle are derived in the large system limit for small values of the coupling constant. Our methods directly describe the shape of the ground state in a given realization of the random potential.

UR - http://www.scopus.com/inward/record.url?scp=84883433210&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84883433210&partnerID=8YFLogxK

U2 - 10.1063/1.4818748

DO - 10.1063/1.4818748

M3 - Article

AN - SCOPUS:84883433210

SN - 0022-2488

VL - 54

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 8

M1 - 081902

ER -

Ground state energy of mean field model of interacting bosons in Bernoulli potential

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this