Impact of dark states on the stationary properties of quantum particles with off-centered interactions in one dimension

Abstract

We present a generalization of the two-body contact interaction for non-relativistic particles trapped in one dimension. The particles interact only when they are a distance c apart. The competition of the interaction length scale with the oscillator length leads to three regimes identified from the energy spectra. When c is less than the oscillator length, particles avoid each other, whereas in the opposite case bunching occurs. In the intermediate region where the oscillator length is comparable to c, both exclusion and bunching are manifested. All of these regions are separated by dark states, i.e. bosonic or fermionic states which are not affected by the interactions.

arXiv comment10 pages, 5 figures

References in corpus (18)

• Many-Body Physics with Ultracold Gases
• The physics of dipolar bosonic quantum gases
• Deterministic Preparation of a Tunable Few-Fermion System
• Dipolar physics: A review of experiments with magnetic quantum gases
• From Few to Many: Observing the Formation of a Fermi Sea One Atom at a Time
• Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction
• Realizing Discontinuous Wave Functions with Renormalized Short-Range Potentials
• One-dimensional mixtures of several ultracold atoms: a review
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures
• $\delta$-Function Perturbations and Boundary Problems by Path Integration
• One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: I. One, Two, and Three Particles
• One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: II. $N$ Particles
• Quantum dynamics of two trapped bosons following infinite interaction quenches
• Universality of the energy spectrum for two interacting harmonically trapped ultra-cold atoms in one and two dimensions
• Infinite Barriers and Symmetries for a Few Trapped Particles in One Dimension
• Quench Dynamics of Two One-Dimensional Harmonically Trapped Bosons Bridging Attraction and Repulsion
• Identical Wells, Symmetry Breaking, and the Near-Unitary Limit