Geometric squeezing of rotating quantum gases into the lowest Landau level

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.

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Cited by in corpus (7)

• Emergent Fracton Hydrodynamics of Ultracold Atoms in Partially Filled Landau Levels
• Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice
• Scale and conformal invariance in rotating interacting few-fermion systems
• Quantum Hall edges beyond the plasma analogy
• Squeezing Quantum States in Three-Dimensional Twisted Crystals
• Bosonic quantum Hall droplets in rapidly rotating two-dimensional Bose-Einstein condensates
• Quantum tidal locking in orbiting Bose-Einstein condensates