# Coherent inflationary dynamics for Bose-Einstein condensates crossing a quantum critical point

## TL;DR

This paper reports the observation of coherent inflationary dynamics in driven Bose-Einstein condensates crossing a quantum critical point, revealing exponential growth of density waves and the role of phase fluctuations in defect formation.

## Contribution

It provides the first experimental observation of coherent inflationary dynamics across a quantum critical point in ultracold gases, with insights into defect formation mechanisms.

## Key findings

- Exponential growth of density waves during inflation
- Extended coherent dynamics post-inflation in real and momentum space
- Phase fluctuations are crucial for topological defect formation

## Abstract

Quantum phase transitions, transitions between many-body ground states, are of extensive interest in research ranging from condensed matter physics to cosmology. Key features of the phase transitions include a stage with rapidly growing new order, called inflation in cosmology, followed by the formation of topological defects. How inflation is initiated and evolves into topological defects remains a hot debate topic. Ultracold atomic gas offers a pristine and tunable platform to investigate quantum critical dynamics. We report the observation of coherent inflationary dynamics across a quantum critical point in driven Bose-Einstein condensates. The inflation manifests in the exponential growth of density waves and populations in well-resolved momentum states. After the inflation stage, extended coherent dynamics is evident in both real and momentum space. We present an intuitive description of the quantum critical dynamics in our system and demonstrate the essential role of phase fluctuations in the formation of topological defects.