Quantum Hall States and Boson Triplet Condensate for Rotating Spin-1 Bosons

2002/03/31 by J. W. Reijnders, F. J. M. van Lankvelt, Kareljan Schoutens +2 · 1 citation
Physics and Astronomy · #Angular momentum #Boson #Cold Atom Physics and Bose-Einstein Condensates #Excited state #Hamiltonian (control theory) #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum number #Singlet state #Spin (aerodynamics) #Total angular momentum quantum number #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1103/physrevlett.89.120401

published as Phys. Rev. Lett. 89, 120401 (2002). · 5 pages, RevTeX. v2: some rewording. v3: shortened, references added, explanation of validity of LLL approx improved, energies corrected

arxiv created 2002/06/03 · openalex publication_date 2002/08/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose and analyze two series of clustered quantum Hall states for rotating systems of spin-1 bosons. The first series [labeled SU(4)(k)] includes the exact ground states of a model Hamiltonian at large angular momentum L, and also for N=3k particles at L=N. The latter is a spin-singlet boson-triplet condensate. The second series, labeled SO(5)(k), includes exact ground states at large L for different parameter values.

Citations

• Do attractive bosons condense?
• Optical Confinement of a Bose-Einstein Condensate
• Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
• Separation of spin and charge in paired spin-singlet quantum Hall states
• Vortex Formation in a Stirred Bose-Einstein Condensate
• Nonabelions in the fractional quantum hall effect

Cited by

• Spin singlet mott states and evidence for spin singlet quantum condensates of spin-one bosons in lattices