Crystallization of bosonic quantum Hall states in a rotating quantum gas

@article{Mukherjee2022CrystallizationOB,
  title={Crystallization of bosonic quantum Hall states in a rotating quantum gas},
  author={Biswaroop Mukherjee and Airlia Shaffer and Parth B. Patel and Zhenjie Yan and Cedric C. Wilson and Valentin Cr'epel and Richard J. Fletcher and Martin W. Zwierlein},
  journal={Nature},
  year={2022},
  volume={601},
  pages={58-62}
}
The dominance of interactions over kinetic energy lies at the heart of strongly correlated quantum matter, from fractional quantum Hall liquids 1 , to atoms in optical lattices 2 and twisted bilayer graphene 3 . Crystalline phases often compete with correlated quantum liquids, and transitions between them occur when the energy cost of forming a density wave approaches zero. A prime example occurs for electrons in high-strength magnetic fields, where the instability of quantum Hall liquids… 

Rotating Bose gas dynamically entering the lowest Landau level

Motivated by recent experiments, we model the dynamics of a condensed Bose gas in a rotating anisotropic trap, where the equations of motion are analogous to those of charged particles in a magnetic

Quantum Hall and Synthetic Magnetic-Field Effects in Ultra-Cold Atomic Systems

In this Chapter, we give a brief review of the state of the art of theoretical and experimental studies of synthetic magnetic fields and quantum Hall effects in ultracold atomic gases. We focus on

Emergent spacetimes from Hermitian and non-Hermitian quantum dynamics

We show that quantum dynamics of any systems with SU (1 , 1) symmetry give rise to emergent Anti-de Sitter spacetimes in 2+1 dimensions (AdS 2+1 ). Using the continuous circuit depth, a quantum

Microcavity Exciton‐Polariton Quantum Spin Fluids

Microcavity exciton‐polaritons are attractive quantum quasi‐particles resulting from strong light–matter coupling in a quantum‐well‐cavity structure. They have become one of the most stimulating

Interplay of Kelvin-Helmholtz and superradiant instabilities of an array of quantized vortices in a two-dimensional Bose--Einstein condensate

We investigate the various physical mechanisms that underlie the dynamical instability of a quantized vortex array at the interface between two counter-propagating superflows in a two-dimensional

Thermalization of Light's Orbital Angular Momentum in Nonlinear Multimode Waveguide Systems.

We show that the orbital angular momentum (OAM) of a light field can be thermalized in a nonlinear cylindrical multimode optical waveguide. We find that upon thermal equilibrium, the maximization of

Breakdown of quantisation in a Hubbard-Thouless pump

fate of transport in the on the role of geometry in

Two Nambu-Goldstone zero modes for rotating Bose-Einstein condensates

We consider rotating finite size vortex arrays in Bose–Einstein condensates that are confined by cylindrically symmetric external potentials. We show that such systems possess two exact Nambu–

References

SHOWING 1-10 OF 81 REFERENCES

Synthetic magnetic fields for ultracold neutral atoms

This work experimentally realizes an optically synthesized magnetic field for ultracold neutral atoms, which is evident from the appearance of vortices in the authors' Bose–Einstein condensate, and uses a spatially dependent optical coupling between internal states of the atoms, yielding a Berry’s phase sufficient to create large synthetic magnetic fields.

Geometric squeezing into the lowest Landau level

Squeezing of geometric quantum uncertainty is implemented, resulting in a rotating Bose-Einstein condensate occupying a single Landau gauge wave function, resolving the extent of zero-point cyclotron orbits and demonstrating geometric squeezing of the orbits’ centers 7 decibels below the standard quantum limit.

Exploring the topology of a quantum Hall system at the microscopic level

Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. In condensed matter

Coherent inflationary dynamics for Bose–Einstein condensates crossing a quantum critical point

Quantum phase transitions, transitions between many-body ground states, are of extensive interest in research ranging from condensed-matter physics to cosmology1–4. Key features of the phase

Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices.

It is shown that for two atomic spin states with opposite magnetic moments, the experimental implementation of an optical lattice that allows for the generation of large homogeneous and tunable artificial magnetic fields with ultracold atoms naturally realizes the time-reversal-symmetric Hamiltonian underlying the quantum spin Hall effect.

Visualizing edge states with an atomic Bose gas in the quantum Hall regime

An effective magnetic field is engineered in a two-dimensional lattice with an elongated-strip geometry and imaged the localized states of atomic Bose-Einstein condensates in this strip; via excitation dynamics, both the skipping orbits of excited atoms traveling down the system’s edges, analogous to edge magnetoplasmons in two- dimensional electron systems, and a dynamical Hall effect for bulk excitations are observed.

Probing chiral edge dynamics and bulk topology of a synthetic Hall system

Quantum Hall systems are characterized by quantization of the Hall conductance—a bulk property rooted in the topological structure of the underlying quantum states 1 . In condensed matter devices,

Softening of roton and phonon modes in a Bose-Einstein condensate with spin-orbit coupling.

Using Bragg spectroscopy, a SO-coupled Bose-Einstein condensate of ^{87}Rb atoms is studied and it is shown that the excitation spectrum in a "magnetized" phase clearly possesses a two-branch and roton-maxon structure.

Light-induced gauge fields for ultracold atoms

Different realized and proposed techniques for creating gauge potentials-both Abelian and non-Abelian-in atomic systems and their implication in the context of quantum simulation are reviewed.

Density Fluctuations across the Superfluid-Supersolid Phase Transition in a Dipolar Quantum Gas

Phase transitions share the universal feature of enhanced fluctuations near the transition point. Here we show that density fluctuations reveal how a Bose-Einstein condensate of dipolar atoms
...