[institut] Reminder: SCL Seminar Today: Antun Balaž
Nenad Vukmirovic
nenad.vukmirovic at ipb.ac.rs
Fri Nov 18 08:02:13 CET 2016
Dear colleagues,
You are cordially invited to the SCL seminar of the Center for the Study
of Complex Systems, which will be held on Friday, 18 November 2016 at
14:00 in the library reading room “Dr. Dragan Popović" of the Institute
of Physics Belgrade. The talk entitled
Dirty bosons in a quasi-one-dimensional harmonic trap
will be given by Dr Antun Balaž (Scientific Computing Laboratory, Center
for the Study of Complex Systems, Institute of Physics Belgrade).
Abstract of the talk:
We will consider the emergence of a Bose-glass region in a quasi
one-dimensional Bose-Einstein-condensed gas in a harmonic trapping
potential with an additional delta-correlated disorder potential at zero
temperature using three approaches [1]. At first, we will solve the
corresponding time-independent Gross-Pitaevskii equation numerically for
the condensate wave function, and evaluate disorder ensemble averages.
In particular, we will analyze quantitatively the emergence of
mini-condensates in the local minima of the random potential, which
occurs for weak disorder preferentially at the border of the condensate,
while for intermediate disorder strength this happens in the trap
centre. Second, in view of a more detailed physical understanding of
this phenomenon, we will extend a recent non-perturbative approach
towards the weakly interacting dirty boson problem, which relies on the
Hartree-Fock theory and is worked out on the basis of the replica
method, from the homogeneous case to a harmonic confinement. Finally, in
the weak disorder regime we also apply the Thomas-Fermi approximation,
while in the intermediate disorder regime we additionally use a
variational ansatz in order to describe analytically the numerically
observed redistribution of the fragmented mini-condensates with
increasing disorder strength.
[1] T. Khellil, A. Balaž, and A. Pelster, New J. Phys. 18, 063003 (2016).
Best regards,
--
Dr Nenad Vukmirovic,
Research Professor,
Scientific Computing Laboratory,
Institute of Physics Belgrade,
Serbia.
URL: http://www.scl.rs/nenad
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