327 research outputs found
Gaussian potentials facilitate access to quantum Hall states in rotating Bose gases
Through exact numerical diagonalization for small numbers of atoms, we show
that it is possible to access quantum Hall states in harmonically confined Bose
gases at rotation frequencies well below the centrifugal limit by applying a
repulsive Gaussian potential at the trap center. The main idea is to reduce or
eliminate the effective trapping frequency in regions where the particle
density is appreciable. The critical rotation frequency required to obtain the
bosonic Laughlin state can be fixed at an experimentally accessible value by
choosing an applied Gaussian whose amplitude increases linearly with the number
of atoms while its width increases as the square root.Comment: 4 pages, 4 figure
Topological Entropy of Quantum Hall States in Rotating Bose Gases
Through exact numerical diagonalization, the von Neumann entropy is
calculated for the Laughlin and Pfaffian quantum Hall states in rotating
interacting Bose gases at zero temperature in the lowest Landau level limit.
The particles comprising the states are indistinguishable, so the required
spatial bipartitioning is effected by tracing over a subset of single-particle
orbitals. The topological entropy is then extracted through a finite-size
scaling analysis. The results for the Laughlin and the Pfaffian states agree
with the expected values of and , respectively.Comment: 4 pages, 4 figure
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