[seminar] Dr.sc. Tanja =?iso-8859-2?Q?=D0uri=E6=2C_this_Friday_at_11.00=2C_F201=2C_seminar_Fibon?=acci anyon excitations of one-dimensional dipolar lattice bosons

[Hrvoje Buljan]

Dear colleagues,

this Friday at 11.00 in room F201 at the Department of Physics we will
have a joint seminar of the Scientific Center of Excellence for Quantum
and Complex Systems and Representations of the Lie Algebra and the
Department of Physics.

Detals are below and in the attachment:

Fibonacci anyon excitations of one-dimensional dipolar lattice bosons

Dr.sc. Tanja Đurić
Uniwersytet Jagielloński, Kraków, Poland

We study a system of dipolar bosons in a one-dimensional optical lattice
using exact diagonalization and density matrix renormalization group
methods. In particular, we analyze low energy properties of the system at
an average filling of 3/2 atoms per lattice site. We identify the region
of the parameter space where the system has non-Abelian Fibonacci anyon
excitations that correspond to fractional domain walls between different
charge-density-waves. When such one-dimensional systems are combined into
a two-dimensional network, braiding of Fibonacci anyon excitations has
potential application for fault tolerant, universal, topological quantum
computation. Contrary to previous calculations, our results also
demonstrate that super-solid phases are not present in the phase diagram
for the discussed 3/2 average filling. Instead, decreasing the value of
the nearest-neighbor tunneling strength leads to a direct,
Berezinskii-Kosterlitz-Thouless, super-fluid to charge-density-wave
quantum phase transition.

see you,
Hrvoje Buljan
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