Quantum Critical Behavior of Two Coupled Bose-Einstein Condensates

TL;DR

This paper investigates the quantum critical behavior of two coupled Bose-Einstein condensates using an algebraic approach, revealing phase transitions and entanglement properties as functions of system parameters.

Contribution

It provides an exact analysis of energy levels, wavefunction overlaps, and entanglement in the Bose-Hubbard model for coupled condensates, highlighting critical phenomena.

Findings

System exhibits a phase transition as parameters vary.

Critical behavior becomes more pronounced in the thermodynamic limit.

Energy levels and entanglement are explicitly calculated.

Abstract

The quantum critical behavior of the Bose-Hubbard model for a description of two coupled Bose-Einstein condensates is studied within the framework of an algebraic theory. Energy levels, wavefunction overlaps with those of the Rabi and Fock regimes, and the entanglement are calculated exactly as functions of the phase parameter and the number of bosons. The results show that the system goes though a phase transition and that the critical behavior is enhanced in the thermodynamic limit.