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.

References in corpus (18)

• Thermalization and its mechanism for generic isolated quantum systems
• Experimental Observation of a Generalized Gibbs Ensemble
• Breakdown of thermalization in finite one-dimensional systems
• Bosonizing one-dimensional cold atomic gases
• Extension of Bogoliubov theory to quasi-condensates
• XMDS2: Fast, scalable simulation of coupled stochastic partial differential equations
• Breakdown of integrability in a quasi-one-dimensional ultracold bosonic gas
• Interaction dependent heating and atom loss in a periodically driven optical lattice
• Extension of the Generalized Hydrodynamics to the Dimensional Crossover Regime
• Thermalisation of a trapped one-dimensional Bose gas via diffusion
• Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap
• Relaxation of a high-energy quasiparticle in a one-dimensional Bose gas
• Two-body momentum correlations in a weakly interacting one-dimensional Bose gas
• Lowest Landau-level description of a Bose-Einstein condensate in a rapidly rotating anisotropic trap
• Numerical method for evolving the Projected Gross-Pitaevskii equation
• Hydrodynamic VS collisionless dynamics of a 1D harmonically trapped Bose gas
• Collapse and revival of the monopole mode of a degenerate Bose gas in an isotropic harmonic trap
• Dynamics of thermalization of two tunnel-coupled one-dimensional quasicondensates

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