Dynamics of order-disorder and complexity for interacting bosons in optical lattice

TL;DR

This paper investigates the dynamical behavior of order, disorder, and complexity in interacting bosons within optical lattices, focusing on phase transitions and the system's self-organization during quench dynamics.

Contribution

It introduces dynamical measures of order, disorder, and complexity as tools to analyze phase transitions and self-organization in bosonic optical lattices, emphasizing the sensitivity of these measures.

Findings

Lattice depth acts as an order-disorder parameter.

Superfluid to Mott insulator transition is treated as an order-disorder transition.

Dynamical measures are more sensitive than entropy in detecting phase changes.

Abstract

The present work reports on the dynamical measures of order, disorder and complexity for the interacting bosons in optical lattice. We report results both for the relaxed state as well as quench dynamics. Our key observations are: (1) Lattice depth can be taken as order-disorder parameter. (2) The superfluid to Mott insulator transition can be treated as `order-disorder' transition. Our main motivation is to find how the system organize by itself during quench and how it optimizes the complexity. We find dynamical measures of order and disorder are more sensitive tool than entropy measures. We specifically calculate the time scale of entry and exit of different phases during time evolution. Initially the system exhibits collapse revival trend, however gradually looses its ability to turn back to superfluid phase and finally Settle to Mott insulator phase.