Double-Well Optical Lattices with Atomic Vibrations and Mesoscopic Disorder

TL;DR

This paper investigates how atomic vibrations and mesoscopic disorder affect the properties of double-well optical lattices, revealing phase transitions and the impact of external potentials on lattice behavior.

Contribution

It introduces the effects of atomic vibrations and mesoscopic disorder on double-well optical lattices, highlighting their influence on phase transitions and lattice properties.

Findings

Vibrations cause renormalization of atomic interactions.

Mesoscopic disorder induces first-order phase transitions.

External potentials suppress disorder and increase transition temperature.

Abstract

Double-well optical lattice in an insulating state is considered. The influence of atomic vibrations and mesoscopic disorder on the properties of the lattice are studied. Vibrations lead to the renormalization of atomic interactions. The occurrence of mesoscopic disorder results in the appearance of first-order phase transitions between the states with different levels of atomic imbalance. The existence of a nonuniform external potential, such as trapping potential, essentially changes the lattice properties, suppressing the disorder fraction and rising the transition temperature.