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Flow equations for cold Bose gases

Volosniev, A G ; Hammer, H-W (2017):
Flow equations for cold Bose gases.
In: New Journal of Physics, 19 (11), ISSN 1367-2630,

Copyright Information: CC BY 4.0 International - Creative Commons, Attribution.

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Item Type: Article
Origin: Secondary publication via sponsored Golden Open Access
Title: Flow equations for cold Bose gases
Language: English

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 of the journal: 19
Issue Number: 11
Place of Publication: Darmstadt
Classification DDC: 500 Naturwissenschaften und Mathematik > 530 Physik
Divisions: 05 Department of Physics > Institute of Nuclear Physics > Theoretische Kernphysik
Date Deposited: 14 Dec 2017 13:28
Last Modified: 13 Dec 2022 11:28
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-70408
Identification Number: 113051
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/7040
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