Quantum-classical correspondence of a system of interacting bosons in a triple-well potential

TL;DR

This paper explores the quantum-classical relationship in a system of interacting bosons within a triple-well potential, revealing phase transitions and potential applications in quantum information science.

Contribution

It provides a semiclassical analysis of the system, identifying critical points and phase behaviors, and discusses the quantum-classical correspondence in both integrable and nonintegrable regimes.

Findings

Critical points linked to quantum phase transitions identified.

Quantum-classical correspondence holds for few bosons in certain regimes.

Ground state sensitivity suggests potential for quantum sensing applications.

Abstract

We study the quantum-classical correspondence of an experimentally accessible system of interacting bosons in a tilted triple-well potential. With the semiclassical analysis, we get a better understanding of the different phases of the quantum system and how they could be used for quantum information science. In the integrable limits, our analysis of the stationary points of the semiclassical Hamiltonian reveals critical points associated with second-order quantum phase transitions. In the nonintegrable domain, the system exhibits crossovers. Depending on the parameters and quantities, the quantum-classical correspondence holds for very few bosons. In some parameter regions, the ground state is robust (highly sensitive) to changes in the interaction strength (tilt amplitude), which may be of use for quantum information protocols (quantum sensing).