Rostock 2019 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 43: Quantum gases (Bosons) (joint session A/Q)
Q 43.2: Talk
Thursday, March 14, 2019, 10:45–11:00, S HS 1 Physik
Dimensional crossover for the beyond-mean-field correction in Bose gases — •Tobias Ilg1, Jan Kumlin1, Luis Santos2, Dmitry S. Petrov3, and Hans Peter Büchler1 — 1Institute for Theoretical Physics III and Center for Integrated Quantum Science and Technology, University of Stuttgart, DE-70550 Stuttgart, Germany — 2Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstr. 2, DE-30167 Hannover, Germany — 3LPTMS, CNRS, Univ. Paris Sud, Université Paris-Saclay, 91405 Orsay, France
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.