Excitation spectra of systems of indistinguishable particles by the autocorrelation function technique: Circumventing the exponential scaling for bosons

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

Standard

Excitation spectra of systems of indistinguishable particles by the autocorrelation function technique : Circumventing the exponential scaling for bosons. / Lévêque, Camille; Madsen, Lars Bojer.

In: Journal of Chemical Physics, Vol. 150, No. 19, 194105, 2019.

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

Harvard

APA

CBE

MLA

Vancouver

Author

Bibtex

@article{8ae687a8bc434d29b80138593a781c1c,
title = "Excitation spectra of systems of indistinguishable particles by the autocorrelation function technique: Circumventing the exponential scaling for bosons",
abstract = "We consider the autocorrelation function technique for obtaining excitation spectra for indistinguishable particles. The interacting particles are described by coherent superpositions of configurations built from time-dependent spin-orbitals. The fermionic or bosonic character of the particles is taken into account by considering Slater determinants or permanents, respectively. The approach involves the calculation of overlaps between nonorthonormal Slater determinants for fermions and permanents for bosons. Efficient methods already exist for fermions. In the case of bosons, the evaluation of permanents generally scales exponentially with system size. We present an efficient approach for bosons for calculating the excitation spectrum, which circumvents this scaling. The approach is illustrated and validated by comparison with an analytical model for interacting bosons, for a system with a number of bosons so large that the autocorrelation technique could not be applied without the present development.",
keywords = "COMPUTATION, DENSITY-MATRICES, DYNAMICS, EFFICIENT, MODEL, RESONANCE, VORTEX, WAVE-FUNCTION",
author = "Camille L{\'e}v{\^e}que and Madsen, {Lars Bojer}",
year = "2019",
doi = "10.1063/1.5095991",
language = "English",
volume = "150",
journal = "Journal of Chemical Physics",
issn = "0021-9606",
publisher = "AMER INST PHYSICS",
number = "19",

}

RIS

TY - JOUR

T1 - Excitation spectra of systems of indistinguishable particles by the autocorrelation function technique

T2 - Circumventing the exponential scaling for bosons

AU - Lévêque, Camille

AU - Madsen, Lars Bojer

PY - 2019

Y1 - 2019

N2 - We consider the autocorrelation function technique for obtaining excitation spectra for indistinguishable particles. The interacting particles are described by coherent superpositions of configurations built from time-dependent spin-orbitals. The fermionic or bosonic character of the particles is taken into account by considering Slater determinants or permanents, respectively. The approach involves the calculation of overlaps between nonorthonormal Slater determinants for fermions and permanents for bosons. Efficient methods already exist for fermions. In the case of bosons, the evaluation of permanents generally scales exponentially with system size. We present an efficient approach for bosons for calculating the excitation spectrum, which circumvents this scaling. The approach is illustrated and validated by comparison with an analytical model for interacting bosons, for a system with a number of bosons so large that the autocorrelation technique could not be applied without the present development.

AB - We consider the autocorrelation function technique for obtaining excitation spectra for indistinguishable particles. The interacting particles are described by coherent superpositions of configurations built from time-dependent spin-orbitals. The fermionic or bosonic character of the particles is taken into account by considering Slater determinants or permanents, respectively. The approach involves the calculation of overlaps between nonorthonormal Slater determinants for fermions and permanents for bosons. Efficient methods already exist for fermions. In the case of bosons, the evaluation of permanents generally scales exponentially with system size. We present an efficient approach for bosons for calculating the excitation spectrum, which circumvents this scaling. The approach is illustrated and validated by comparison with an analytical model for interacting bosons, for a system with a number of bosons so large that the autocorrelation technique could not be applied without the present development.

KW - COMPUTATION

KW - DENSITY-MATRICES

KW - DYNAMICS

KW - EFFICIENT

KW - MODEL

KW - RESONANCE

KW - VORTEX

KW - WAVE-FUNCTION

UR - http://www.scopus.com/inward/record.url?scp=85065973281&partnerID=8YFLogxK

U2 - 10.1063/1.5095991

DO - 10.1063/1.5095991

M3 - Journal article

VL - 150

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 19

M1 - 194105

ER -