Many Bosons in a Narrow Magnetic Feshbach Resonance

TL;DR

This paper investigates the low-energy properties of many bosons near a narrow Feshbach resonance using a two-channel Hamiltonian, revealing a bounded energy spectrum and potential for strongly interacting bosonic phases in dilute regimes.

Contribution

It introduces a two-channel Hamiltonian approach to analyze many bosons near a narrow Feshbach resonance and demonstrates the boundedness of the energy spectrum in the zero-range limit.

Findings

Energy spectrum is bounded from below in the zero-range limit.

Potential for strongly interacting bosonic phases in dilute regimes.

Derived an integral relation between energy and momentum distribution.

Abstract

The many-boson problem in presence of an asymptotically narrow Feshbach resonance is considered. The low energy properties are investigated using a two-channel Hamiltonian. The energy spectrum of this model is shown to be bounded from below in the limit of zero range interaction. This implies the promising possibility of achieving a strongly interacting bosonic phase in a dilute regime where the details of the actual interatomic forces are irrelevant. The integral relation between the energy and the one-body momentum distribution is derived.