Localized tendency for the superfluid and Mott insulator state in the array of dissipative cavities

TL;DR

This paper analyzes how dissipation affects the superfluid-Mott insulator transition in cavity arrays, revealing localized tendencies that can break superfluidity and suppress long-range order, leading to localized mixture states.

Contribution

It introduces an analytical approach to study dissipation effects on phase transitions in cavity arrays, highlighting localized tendencies and state suppression.

Findings

Dissipation influences critical behaviors and time evolution.

Localized tendencies can break superfluidity.

Suppression of long-range order leads to localized mixture states.

Abstract

The features of superfluid-Mott insulator phase transition in the array of dissipative cavities is analyzed. Employing a kind of quasi-boson and a mean-filed approach, we show analytically how dissipation and decoherence influence the critical behaviors and the time evolution of the system. We find that there is a localized tendency, which could lead to the break of superfluidity for a superfluid state and suppress the appearance of the long-range order form a Mott state. Eventually, a collection of mixture states localized on each site will arise.