# Quantum dynamical response of ultracold few boson ensembles in finite optical lattices to multiple interaction quenches

## TL;DR

This paper investigates the non-equilibrium quantum dynamics of few-boson systems in optical lattices under multiple interaction quenches, revealing complex tunneling, excitation modes, and momentum transfer behaviors.

## Contribution

It provides a detailed analysis of the dynamical response and mode excitations in bosonic ensembles subjected to multiple interaction quenches, highlighting new insights into their non-linear and frequency-dependent behaviors.

## Key findings

- Multiple tunneling pathways during increased interactions
- Persistent cradle mode during and between quenches
- Power-law frequency dependence of momentum transfer

## Abstract

The correlated non-equilibrium quantum dynamics following a multiple interaction quench protocol for few-bosonic ensembles confined in finite optical lattices is investigated. The quenches give rise to an interwell tunneling and excite the cradle and a breathing mode. Several tunneling pathways open during the time interval of increased interactions, while only a few occur when the system is quenched back to its original interaction strength. The cradle mode, however, persists during and in between the quenches, while the breathing mode possesses dinstinct frequencies. The occupation of excited bands is explored in detail revealing a monotonic behavior with increasing quench amplitude and a non-linear dependence on the duration of the application of the quenched interaction strength. Finally, a periodic population transfer between momenta for quenches of increasing interaction is observed, with a power-law frequency dependence on the quench amplitude. Our results open the possibility to dynamically manipulate various excited modes of the bosonic system.