Phase diagram of a bosonic ladder with two coupled chains

TL;DR

This paper investigates the phase diagram of a bosonic ladder with two coupled chains, revealing how inter-chain hopping influences the critical interaction for the superfluid to Mott insulator transition.

Contribution

It provides the first detailed phase diagram of a bosonic ladder considering inter-chain hopping effects using DMRG methods.

Findings

Critical on-site interaction $U_C$ increases with inter-chain hopping $t_\bot$

Superfluid to Mott insulator transition analyzed in the $t_\bot - U$ plane

Quantum phase transition characterized in a coupled bosonic ladder

Abstract

We study a bosonic ladder with two coupled chains using the finite size density matrix renormalisation group method. We show that in a commensurate bosonic ladder the critical on-site interaction ($U_C$) for the superfluid to Mott insulator transition becomes larger as the inter-chain hopping ($t_\bot$)increases. We analyze this quantum phase transition and obtain the phase diagram in the $t_\bot -U$ plane.