Dimensional crossover of nonrelativistic bosons

• Verfasst von: Lammers, Sören [VerfasserIn]
• Verfasst von: Böttcher, Igor [VerfasserIn]
• Verfasst von: Wetterich, Christof [VerfasserIn]
• Titel: Dimensional crossover of nonrelativistic bosons
• Verf.angabe: Soeren Lammers, Igor Boettcher, and Christof Wetterich
• E-Jahr: 2016
• Jahr: 27 June 2016
• Umfang: 16 S.
• Fussnoten: Gesehen am 12.06.2020
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Woodbury, NY : Inst., 2016
• Jahr Quelle: 2016
• Band/Heft Quelle: 93(2016,6) Artikel-Nummer 063631, 16 Seiten
• ISSN Quelle: 2469-9934
• DOI: doi:10.1103/PhysRevA.93.063631
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 170049337X

Abstract

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.