# The quantum Talbot effect for a chain of partially correlated Bose-Einstein condensates

## TL;DR

This paper investigates how phase randomness affects the quantum Talbot effect in Bose-Einstein condensates, revealing new interference patterns and proposing thermometry methods based on phase fluctuations.

## Contribution

It presents a mathematical model of the quantum Talbot effect with phase randomness and discusses experimental implications for atomic and molecular Bose condensates.

## Key findings

- Phase randomness introduces new peaks in the spatial spectrum.
- The interference pattern changes qualitatively with phase fluctuations.
- Thermometry based on phase randomness is proposed.

## Abstract

The matter-wave interference picture, which appears within the quantum Talbot effect, changes qualitatively in response to even a small randomness in the phases of the sources. The spatial spectrum acquires peaks which are absent in the case of equal phases. The mathematic model of the effect is presented. The manifestations of the phase randomness in experiments with atomic and molecular Bose condensates, is discussed. Thermometry based on observable consequences of phase randomness is proposed.