TU Darmstadt / ULB / TUbiblio

Flow equations for cold Bose gases

Volosniev, A. G. and Hammer, H.-W. (2017):
Flow equations for cold Bose gases.
19, In: New Journal of Physics, (11), p. 113051, ISSN 1367-2630, DOI: 10.1088/1367-2630/aa9011,
[Online-Edition: https://doi.org/10.1088/1367-2630/aa9011],
[Article]

Abstract

Wederive flow equations for cold atomic gases with one macroscopically populated energy level. The generator is chosen such that the ground state decouples from all other states in the system as the renormalization group flow progresses.Wepropose a self-consistent truncation scheme for the flow equations at the level of three-body operators and show how they can be used to calculate the ground state energy of a generalN-body system. Moreover, we provide a general method to estimate the truncation error in the calculated energies. Finally, we test our scheme by benchmarking to the exactly solvable Lieb–Liniger model and find good agreement for weak and moderate interaction strengths.

Item Type: Article
Erschienen: 2017
Creators: Volosniev, A. G. and Hammer, H.-W.
Title: Flow equations for cold Bose gases
Language: English
Abstract:

Wederive flow equations for cold atomic gases with one macroscopically populated energy level. The generator is chosen such that the ground state decouples from all other states in the system as the renormalization group flow progresses.Wepropose a self-consistent truncation scheme for the flow equations at the level of three-body operators and show how they can be used to calculate the ground state energy of a generalN-body system. Moreover, we provide a general method to estimate the truncation error in the calculated energies. Finally, we test our scheme by benchmarking to the exactly solvable Lieb–Liniger model and find good agreement for weak and moderate interaction strengths.

Journal or Publication Title: New Journal of Physics
Volume: 19
Number: 11
Divisions: 05 Department of Physics
05 Department of Physics > Institute of Nuclear Physics
05 Department of Physics > Institute of Nuclear Physics > Theoretische Kernphysik
Date Deposited: 17 Dec 2017 20:56
DOI: 10.1088/1367-2630/aa9011
Official URL: https://doi.org/10.1088/1367-2630/aa9011
URN: urn:nbn:de:tuda-tuprints-70408
Export:
Suche nach Titel in: TUfind oder in Google
Send an inquiry Send an inquiry

Options (only for editors)

View Item View Item