Volosniev, A. G. ; Hammer, H.-W. (2017)
Flow equations for cold Bose gases.
In: New Journal of Physics, 19 (11)
doi: 10.1088/1367-2630/aa9011
Article, Bibliographie
This is the latest version of this item.
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. ; Hammer, H.-W. |
| Type of entry: | Bibliographie |
| Title: | Flow equations for cold Bose gases |
| Language: | English |
| Date: | 2017 |
| Journal or Publication Title: | New Journal of Physics |
| Volume of the journal: | 19 |
| Issue Number: | 11 |
| DOI: | 10.1088/1367-2630/aa9011 |
| URL / URN: | https://doi.org/10.1088/1367-2630/aa9011 |
| Corresponding Links: | |
| 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. |
| Classification DDC: | 500 Science and mathematics > 530 Physics |
| 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: | 02 Aug 2024 12:33 |
| Last Modified: | 02 Aug 2024 12:33 |
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| Suche nach Titel in: | TUfind oder in Google |
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Flow equations for cold Bose gases. (deposited 17 Dec 2017 20:56)
- Flow equations for cold Bose gases. (deposited 02 Aug 2024 12:33) [Currently Displayed]
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