# Precision Measurement with ultracold atoms in a double-well potential

**Project level:** Summer

Bose-Einstein condensates in a double-well potentials have been used as a relatively simple system in which to study the quantum many-body physics of ultracold atoms, in particular the interplay of quantum tunelling and particle interactions.

This project will investigate the use of a BEC in a double-well potential for quantum squeezing and interferometry. The two-mode approximation will be used to describe essential dynamical features of tunnelling between the two wells and self-trapping. Particular aspects to be investigated include: timescales required to form the optically squeezed or entangled states, and the effect of residual interactions in some recently proposed schemes.

Areas: quantum measurement, Bose-Einstein condensates