Details
| Original language | English |
|---|---|
| Article number | 051604 |
| Journal | Physical Review A |
| Volume | 98 |
| Issue number | 5 |
| Publication status | Published - 26 Nov 2018 |
Abstract
We present a detailed beyond-mean-field analysis of a weakly interacting Bose gas in the crossover from three to low dimensions. We find an analytical solution for the energy and provide a clear qualitative picture of the crossover in the case of a box potential with periodic boundary conditions. We show that the leading contribution of the confinement-induced resonance is of beyond-mean-field order and calculate the leading corrections in the three- and low-dimensional limits. We also characterize the crossover for harmonic potentials in a model system with particularly chosen short- and long-range interactions and show the limitations of the local-density approximation. Our analysis is applicable to Bose-Bose mixtures and gives a starting point for developing the beyond-mean-field theory in inhomogeneous systems with long-range interactions such as dipolar particles or Rydberg-dressed atoms.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A, Vol. 98, No. 5, 051604, 26.11.2018.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Dimensional crossover for the beyond-mean-field correction in Bose gases
AU - Ilg, Tobias
AU - Kumlin, Jan
AU - Santos, Luis
AU - Petrov, Dmitry S.
AU - Büchler, Hans Peter
N1 - Funding information: Acknowledgments. The research leading to these results received funding from the European Research Council (FR7/2007-2013 Grant Agreement No. 341197), and is supported by the Deutsche Forschungsgemeinschaft (DFG) within the research unit FOR 2247.
PY - 2018/11/26
Y1 - 2018/11/26
N2 - We present a detailed beyond-mean-field analysis of a weakly interacting Bose gas in the crossover from three to low dimensions. We find an analytical solution for the energy and provide a clear qualitative picture of the crossover in the case of a box potential with periodic boundary conditions. We show that the leading contribution of the confinement-induced resonance is of beyond-mean-field order and calculate the leading corrections in the three- and low-dimensional limits. We also characterize the crossover for harmonic potentials in a model system with particularly chosen short- and long-range interactions and show the limitations of the local-density approximation. Our analysis is applicable to Bose-Bose mixtures and gives a starting point for developing the beyond-mean-field theory in inhomogeneous systems with long-range interactions such as dipolar particles or Rydberg-dressed atoms.
AB - We present a detailed beyond-mean-field analysis of a weakly interacting Bose gas in the crossover from three to low dimensions. We find an analytical solution for the energy and provide a clear qualitative picture of the crossover in the case of a box potential with periodic boundary conditions. We show that the leading contribution of the confinement-induced resonance is of beyond-mean-field order and calculate the leading corrections in the three- and low-dimensional limits. We also characterize the crossover for harmonic potentials in a model system with particularly chosen short- and long-range interactions and show the limitations of the local-density approximation. Our analysis is applicable to Bose-Bose mixtures and gives a starting point for developing the beyond-mean-field theory in inhomogeneous systems with long-range interactions such as dipolar particles or Rydberg-dressed atoms.
UR - http://www.scopus.com/inward/record.url?scp=85057490464&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.98.051604
DO - 10.1103/PhysRevA.98.051604
M3 - Article
AN - SCOPUS:85057490464
VL - 98
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 5
M1 - 051604
ER -