Geometric squeezing of rotating quantum gases into the lowest Landau level

TL;DR

This paper explains how rotating quantum gases can be geometrically squeezed into the lowest Landau level, providing new experimental control over quantum geometry and paving the way for realizing quantum Hall-like states with neutral atoms.

Contribution

It introduces the concept of geometric squeezing of the guiding center metric in rotating quantum gases, linking experimental observations to quantum geometric control.

Findings

Experimental Bose-Einstein condensate in the lowest Landau level

Geometric squeezing controls quantum geometry

Path towards correlated quantum Hall states with neutral atoms

Abstract

The simulation of quantum Hall physics with rotating quantum gases is witnessing a revival due to recent experimental advances that enabled the observation of a Bose-Einstein condensate entirely contained in its lowest kinetic energy state, i.e. the lowest Landau level. We theoretically describe this experimental result, and show that it can be interpreted as a squeezing of the geometric degree of freedom of the problem, the guiding center metric. This "geometric squeezing" offers an unprecedented experimental control over the quantum geometry in Landau-level analogues, and at the same time opens a realistic path towards achieving correlated quantum phases akin to quantum Hall states with neutral atoms.