Slow quench dynamics of a trapped one-dimensional Bose gas confined to an optical lattice

TL;DR

This paper investigates how a linear change in interaction strength affects a trapped one-dimensional Bose gas in an optical lattice, revealing different dynamical regimes and energy scaling behaviors.

Contribution

It provides a detailed analysis of the dynamical regimes during slow quenches in a trapped Bose gas using advanced numerical techniques.

Findings

Long ramp times lead to density redistribution dynamics.

Short ramp times result in local dynamics similar to homogeneous systems.

Energy absorption scales non-trivially with ramp time.

Abstract

We analyze the effect of a linear time-variation of the interaction strength on a trapped one-dimensional Bose gas confined to an optical lattice. The evolution of different observables such as the experimentally accessible onsite particle distribution are studied as a function of the ramp time using time-dependent exact diagonalization and density-matrix renormalization group techniques. We find that the dynamics of a trapped system typically display two regimes: for long ramp times, the dynamics are governed by density redistribution, while at short ramp times, local dynamics dominate as the evolution is identical to that of an homogeneous system. In the homogeneous limit, we also discuss the non-trivial scaling of the energy absorbed with the ramp time.