Speaker
Dr
Bruno Julia-Diaz
(ICFO - The Institute of Photonic Sciences)
Description
We employ the exact diagonalization method to analyze the
possibility of generating strongly correlated states in
two-dimensional clouds of ultracold bosonic atoms which are
subjected to a geometric gauge field created by coupling two
internal atomic states to a laser beam. Tuning the gauge
field strength, the system undergoes stepwise transitions
between different ground states, which we describe by
analytical trial wave functions, amongst them the Pfaffian,
the Laughlin, and a Laughlin quasiparticle many-body state.
We analyze quasihole excitations over the Laughlin and
generalized Laughlin states, and show that they possess
effective fractional charge and obey anyonic statistics.
Finally, we study the energy gap over the Laughlin state as
the number of particles is increased keeping the chemical
potential fixed. The gap is found to decrease as the number
of particles is increased, indicating that the observability
of the Laughlin state is restricted to a small number of
particles.
References:
[1] B. Julia-Diaz, T. Grass, N. Barberan, M. Lewenstein,
New Journal of Physics, 14, 055003 (2012)
[2] B. Julia-Diaz, D. Dagnino, KJ Gunter, T. Grass, N.
Barberan, M. Lewenstein, J. Dalibard, Phys. Rev. A 84,
053605 (2011)
Primary author
Dr
Bruno Julia-Diaz
(ICFO - The Institute of Photonic Sciences)
