Dimensional crossover of nonrelativistic bosons
We investigate how confining a transverse spatial dimension influences the few- and many-body properties of nonrelativistic bosons with pointlike interactions. Our main focus is on the dimensional crossover from three to two dimensions, which is of relevance for ultracold-atom experiments. Using fun...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
27 June 2016
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| In: |
Physical review
Year: 2016, Volume: 93, Issue: 6, Pages: 1-16 |
| ISSN: | 2469-9934 |
| DOI: | 10.1103/PhysRevA.93.063631 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevA.93.063631 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.93.063631 
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| Author Notes: | Soeren Lammers, Igor Boettcher, and Christof Wetterich |
| Summary: | We investigate how confining a transverse spatial dimension influences the few- and many-body properties of nonrelativistic bosons with pointlike interactions. Our main focus is on the dimensional crossover from three to two dimensions, which is of relevance for ultracold-atom experiments. Using functional-renormalization-group equations and T-matrix calculations we study how the phase transition temperature changes as a function of the spatial extent of the transverse dimension and relate the three- and two-dimensional s-wave scattering lengths. The analysis reveals how the properties of the lower-dimensional system are inherited from the higher-dimensional one during renormalization-group evolution. We limit the discussion to confinements in a potential well with periodic boundary conditions and argue why this qualitatively captures the physics of other compactifications such as transverse harmonic confinement as in cold-atom experiments. |
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| Item Description: | Gesehen am 12.06.2020 |
| Physical Description: | Online Resource |
| ISSN: | 2469-9934 |
| DOI: | 10.1103/PhysRevA.93.063631 |