# QUANTUM HALL FRACTIONS IN ULTRACOLD ATOMIC VAPORS

@article{Regnault2004QUANTUMHF, title={QUANTUM HALL FRACTIONS IN ULTRACOLD ATOMIC VAPORS}, author={Nicolas Regnault and Th. Jolicoeur}, journal={Modern Physics Letters B}, year={2004}, volume={18}, pages={1003-1012} }

Atomic vapors can be prepared and manipulated at very low densities and temperatures. When they are rotating, they can reach a quantum Hall regime in which there should be manifestations of the fractional quantum Hall effect. We discuss the appearance of the principal sequence of fractions ν=p/(p±1) for bosonic atoms. The termination point of this series is the paired Moore–Read Pfaffian state. Exotic states fill the gap between the paired state and the vortex lattice expected at high filling…

## 4 Citations

Quantum noise analysis of spin systems realized with cold atoms

- Physics
- 2007

We consider the use of quantum noise to characterize many-body states of spin systems realized with ultracold atomic systems. These systems offer a wealth of experimental techniques for realizing…

Quantum engineering with ultracold atoms

- Physics
- 2013

Rydberg atoms are atoms with one electron excited to an orbital with very high principal quantum number, giving rise to exaggerated properties such as high sensitivity to external fields and…

Rapidly rotating atomic gases

- Physics
- 2008

In this article, we review developments in the theory of rapidly rotating degenerate atomic gases. The main focus is on the equilibrium properties of a single-component atomic Bose gas, which (at…

Initial steps towards quantum control of atomic Bose–Einstein condensates

- Physics
- 2005

There exists a large body of experimental and theoretical work carried out on Bose–Einstein condensates (BECs) of dilute alkali atoms since their first creation some ten years ago. Much of this work,…

## References

SHOWING 1-10 OF 21 REFERENCES

Quantum Hall fractions in rotating Bose-Einstein condensates.

- PhysicsPhysical review letters
- 2003

The quantum Hall phases that appear in the dilute limit of rotating Bose-Einstein condensates are studied by exact diagonalization in a spherical geometry and gap estimates are given by finite-size scaling of both charged and neutral excitations.

Quantum phases of vortices in rotating Bose-Einstein condensates.

- PhysicsPhysical review letters
- 2001

Results are presented indicating that, as a function of nu, there is a zero temperature phase transition between a triangular vortex lattice phase, and strongly correlated vortex liquid phases.

Composite fermion description of rotating Bose-Einstein condensates

- Physics
- 1999

We study the properties of rotating Bose-Einstein condensates in parabolic traps, with coherence length large compared to the system size. In this limit, it has been shown that unusual groundstates…

Condensation of "Composite Bosons" in a rotating BEC

- PhysicsPhysical review letters
- 2000

It is shown that the states near integer angular momentum per particle are best considered condensates of composite entities, involving vortices and atoms, by exact calculation of wave functions and energies for small numbers of particles.

Quantum melting and absence of Bose-Einstein condensation in two-dimensional vortex matter.

- PhysicsPhysical review letters
- 2002

It is demonstrated that quantum fluctuations suppress Bose-Einstein condensation of quasi-two-dimensional bosons in a rapidly rotating trap using a solution of the weakly interacting boson Bogoliubov equations.

Composite-fermion approach for the fractional quantum Hall effect.

- PhysicsPhysical review letters
- 1989

It is proposed that the fractional quantum Hall effect of electrons can be physically understood as a manifestation of the integer quantumHall effect of composite fermionic objects consisting of electrons bound to an even number of flux quanta.

Do Attractive Bosons Condense

- Physics
- 1998

Motivated by experiments on Bose atoms in traps which have attractive interactions (e.g., ${}^{7}\mathrm{Li}$), we consider two models which may be solved exactly. We construct the ground states…

Tuning p-wave interactions in an ultracold Fermi gas of atoms.

- Physics, GeologyPhysical review letters
- 2003

This resonance is used to enhance the normally suppressed p-wave collision cross section to values larger than the background s-wave cross section between 40K atoms in different spin states and dramatically enhances three-body inelastic collisional loss.

Observation of Vortex Lattices in Bose-Einstein Condensates

- PhysicsScience
- 2001

The observation of dislocations, irregular structure, and dynamics indicates that gaseous Bose-Einstein condensates may be a model system for the study of vortex matter.