Geometric Squeezing and Crystallization of Bosonic Quantum Hall States (Prof. Martin Zwierlein)

  • New Date for postponed Talk from 18.04.
  • Date: Jul 6, 2023
  • Time: 02:30 PM (Local Time Germany)
  • Speaker: Prof. Martin Zwierlein
  • MIT Department of Physics, USA
  • Location: Max Planck Institute of Quantum Optics
  • Room: Herbert Walther Lecture Hall
Rapidly rotating quantum gases realize the physics of charged particles in high magnetic fields. We developed a novel protocol, geometric squeezing, that enables to create Bose-Einstein condensates in a single Landau gauge wavefunction of the lowest Landau level. Based on the non-commutativity of guiding center X and Y coordinates, geometric squeezing in a saddle potential is a real space analogue to squeezing in phase space of a one-dimensional particle in an inverted harmonic oscillator potential.

In the narrow direction, the wavefunction shrinks to the Heisenberg-limited size of the ground-state cyclotron motion. Removing the saddle enables studying the evolution of a Landau gauge condensate in "flat land" under the sole influence of interactions. Surprisingly, we find that Landau gauge condensates are unstable towards crystallization into arrays of droplets. This instability of states in the lowest Landau level has its classical analogy in the Kelvin-Helmholtz instability of counterflowing liquids. We explore the crossover of this instability from the lowest Landau level to the Thomas-Fermi regime. I will discuss prospects to extend this work towards fractional quantum Hall states of bosons.

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