














Brand group  Coherent Quantum Gases
The coherent quantum gases group is interested in various aspects of
the physics of ultracold atomic gases. Of particular interest are
nonlinear wave phenomena (solitons) and strong correlations in the Bose and Fermi quantum gases.
Principal Investigator: Prof. Joachim Brand
From left to right: Prof. Joachim Brand, Dr. Oleksandr Fialko, Sophie Shamailov, Jayson Cosme
Not in picture:
Peter Jeszinszki
Ray (Mingrui) Yang
Dr. Ulrich Ebling
Previous group members
Dr. Lauri Toikka
Dr. Shreyoshi Gosh
Dr. Antonio Muñoz Mateo
Alex Ayet
Dr. Alberto Cetoli
Gabriele Jaritz
Dr. Renyan Liao
Dr. Thomas Ernst
Dr. David Hallwood
Jake Gulliksen
MarieCoralie Delattre

Musical vibration patterns inspire the search for defects in ultracold atomic gase
Similar to musical instruments, superfluid defects can resonate at characteristic frequencies that produce intriguing patterns.
The explanation of this phenomenon goes back to the eighteenth century, when Ernst Chladni observed grains of sand assemble in geometric patterns on the surface of a plate excited to characteristic tones with a bow. The lines of sand that we nowadays call Chladni figures trace the nodal lines of vibration modes. In a similar fashion to Chladni`s plates, a standing wave in a confined superfluid called dark soliton possesses characteristic vibration modes with geometric patterns of nodal lines. Being unstable vibrations, the dark soliton decays leaving behind a skeleton of vortex lines that make up solitary waves themselves. The two simplest structures, a single vortex line called solitonic vortex, and a vortex ring have already been observed in quantum gases. However, solitonic vortices and vortex rings are just two members of a whole family of standing waves, the Chladni solitons.
Stability and dispersion relations of threedimensional solitary waves in trapped BoseEinstein condensates
A. Muñoz Mateo, J. Brand
New J. Phys. 17, 125013 (2015)
Chladni solitons and the onset of the snaking instability for dark solitons in confined superfluids
A. Muñoz Mateo, J. Brand
Phys. Rev. Lett. 113, 255302 (2014)
Chladni solitons made of vortex lines in a superfluid (above) versus Chladni figures made of nodal lines of plate vibrations (below). Central image from William Henry Stone, Elementary Lessons on Sound (Macmillan and Co., London, 1879), p. 26, fig. 12; and side images from Chladni, E. F. F., Entdeckungen ueber die Theorie des Klanges (Weidmanns Erben und Reich, 1787).

Research topics
Solitons in BoseEinstein Condensates
Particle and Wave Nature of MatterWave Bright Solitons
BoseEinstein condensate with attractive interactions can form
nonspreading wavepackts, a sort of selfcohesive drops also called bright solitons. Being a special
sort of nonlinear waves, bright solitons share many properties of
classical particles. However, depending on the circumstances they may
still reveal their quantum nature. Read more about ...
Soliton and vortex ring ring collisions
Solitons and vortex rings are examples of nonlinear wave phenomena, which
maintain their shape during propagation. The collisions of such waves were recently observed in a BoseEinstein
condensate for the first time. The experiment at Harvard University showed
evidence of unexpected shelllike structures. Simulations give evidence that
these structures are hybride objects composed of soliton fronts and vortex
rings.

Phys. Rev. Lett. 95, 110401 (2005)

Phys. Rev. Lett. 94, 040403 (2005)
Story on Physics News Update
Article for Physik in unserer Zeit


Solitonic vortices and the snake instability
What happens to vortices when they are put into a narrow channel? What is the
1D analog of a vortex? We study the effects of transverse confinement on vortices in a repulsive,
elongated BEC. In a regime where the width of the elongated trap is about 6 to
12 healing lengths, vortices show properties usually associated with solitons.
In particular, their velocity may be associated with a characteristic phase
step and collision properties are solitonlike. Thus we speak of solitonic
vortices. A connection can be made to the snake instability of soliton stripes
which is also a mechanism that may be exploited to experimentally create
solitonic vortices [1 ].
A different way of producing solitonic vortices in a controlled manner is
stirring in a toroidal trap [2 ].
Properties are studied using 2 and 3D simulations of the GrossPitaevskii
equation but also using the method of image charges which yields an exactly
solvable model of vortex dynamics.
[1] Phys. Rev. A 65 (2002)
04361
[2]J. Phys. B: At. Mol. Opt. Phys. 34
(2001) L113L119


StronglyInteracting Quantum Gases
We are interested in the manybody theory of quantum gases under the
influence of strong correlations. In particular there are interesting
crossover scenarios for a Bose gas in one dimension or a twocomponent
Fermi gas under the influence of a Feshbach resonance.
Is the 1D Bose gas superfluid?
The 1D Bose gas at zero temperature has many surprising properties that are
very distinct from 3D BoseEinstein condensates including the loss of phase
coherence and a fermionic excitation spectrum with appearance of two branches
of elementary excitations. According to the Landau criterion of superfluidity
this should prevent the possibility of superfluidity. However, according to
common definitions of condensedmatter physics, the superfluid fraction of the
interacting 1D Bose is known to be 100%. In order to really understand the
superfluid properties of the 1D Bose gas we calculate the dynamic structure
factor and the drag force that a heavy but small particle feels when dragged
through the gas. Check back on this page to read our upcoming preprint when it
is ready or read our previous papers on the 1D Bose gas:
Phys. Rev. A 73, 023612 (2006)
Phys. Rev. A. 72, 033619 (2005)
Phys. Rev. A. 70, 043622 (2004)
J. Phys. B: At. Mol. Opt. Phys. 37 (2004) S287S300
Levinson's theorem for atomic scattering on BoseEinstein condensates
Levinson's theorem of potential scattering connects the number of bound
states of a given potential to the phase shifts of scattering solutions.
Excitations of a weakly interacting Bose condensate are described by the
coupled Bogoliubov equations. Scattering solutions for a finite trapping
potential describe the scattering of single, identical particles. Can
Levinson's theorem be generalized and the number of bound collective
excitations of a condensate be linked with the phase shifts of singleparticle
scattering? Particularly interesting situations occur for kinks or vortices in
shallow traps as they can give rise to 'bound states in the continuum' of
single particle scattering.
Phys. Rev. Lett. 91, 070403 (2003)
