Energy-level crossings and number-parity effects in a bosonic tunneling model

TL;DR

This paper presents an exact solution to a bosonic tunneling model, revealing energy level crossings and parity-dependent properties, with implications for understanding quantum phase boundaries.

Contribution

It provides an analytical solution for the entire spectrum of a bosonic tunneling model, highlighting parity effects and energy level crossings.

Findings

Multiple energy level crossings occur in the model.

Energy spectrum depends on particle number parity.

Model includes a quantum phase boundary line.

Abstract

An exactly solved bosonic tunneling model is studied along a line of the coupling parameter space, which includes a quantum phase boundary line. The entire energy spectrum is computed analytically, and found to exhibit multiple energy level crossings in a region of the coupling parameter space. Several key properties of the model are discussed, which exhibit a clear dependence on whether the particle number is even or odd.