Dimensional Effects on the Momentum distribution of Bosonic Trimer States
arXiv:1207.5429 · doi:10.1103/PhysRevA.87.013610
Abstract
The momentum distribution is a powerful probe of strongly-interacting systems that are expected to display universal behavior. This is contained in the contact parameters which relate few- and many-body properties. Here we consider a Bose gas in two dimensions and explicitly show that the two-body contact parameter is universal and then demonstrate that the momentum distribution at next-to-leading order has a logarithmic dependence on momentum which is vastly different from the three-dimensional case. Based on this, we propose a scheme for measuring the effective dimensionality of a quantum many-body system by exploiting the functional form of the momentum distribution.
8 pages, 5 figures, final version
References in corpus (14)
- Many-Body Physics with Ultracold Gases
- Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
- Observation of scale invariance and universality in two-dimensional Bose gases
- Verification of universal relations in a strongly interacting Fermi gas
- Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
- Observation of a two-dimensional Fermi gas of atoms
- Two-dimensional dynamics of expansion of a degenerate Bose gas
- Universal Relations for Identical Bosons from 3-Body Physics
- Crossover from 2D to 3D in a weakly interacting Fermi gas
- Apparent low-energy scale invariance in two-dimensional Fermi gases
- Universal properties of Fermi gases in arbitrary dimensions
- A two-dimensional Fermi liquid with attractive interactions
- Single-Particle Momentum Distribution of an Efimov trimer
- Radio frequency spectra of Feshbach molecules in quasi-two dimensional geometries
Cited by in corpus (5)
- Comparing and contrasting nuclei and cold atomic gases
- Mass-imbalanced Three-Body Systems in Two Dimensions
- Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions
- Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures
- Dynamical excitation processes and correlations of three-body two-dimensional mixtures