Kinks  Simulating Discrete Solitons
Jonathan Brox, Philip Kiefer, and Tobias Schaetz
introduction
In collaboration with TelAviv University and IPhT, CEA Saclay we study experimentally and theoretically structural defects, which are formed during the transition from a laser cooled ion cloud to a Coulomb crystal, consisting of tens of ions. We demonstrate the creation of predicted topological defects (`kinks') in purely twodimensional crystals, and also find kinks which show novel dynamical features in a regime of parameters not considered before.
The kinks are always observed at the centre of the trap, showing a large nonlinear localized excitation, and the probability of their occurrence surprisingly saturates at ~0.5. Simulations reveal a strong anharmonicity of the kink's internal mode of vibration, due to the kink's extension into three dimensions. As a consequence, the periodic PeierlsNabarro potential experienced by a discrete kink becomes a globally confining potential, capable of trapping one cooled defect at the center of the crystal.
our tools in the lab
conventional linear Paul trap



further reading
 Spectroscopy and Directed Transport of Topological Solitons in Crystals of Trapped Ions,
J. Brox, P. Kiefer, M. Bujak, H. Landa, T. Schaetz
Phys. Rev. Lett. 119, 153602 (2017)  arXiv:1704.0378 (2017)  Synopsis: Topological Defect on the Move  Entanglement Generation Using Discrete Solitons in Coulomb Crystals
H. Landa, A. Retzker, T. Schaetz, B. Reznik
Phys. Rev. Lett 113, 053001 (2014)  arXiv:1308.2943 (2013)  Structure, Dynamics and Bifurcation of Discrete Solitons in Trapped Ion Crystals
H. Landa, J. Brox, M. Mielenz, T. Schaetz, B. Reznik
New J. Phys. 15, 093003 (2013)  arXiv:1305.6754 (2013)  Trapping of TopologicalStructural Defects in Coulomb Crystals
M. Mielenz, J. Brox, S. Kahra, G. Leschhorn, M. Albert, H. Landa, B. Reznik, T. Schaetz
Phys. Rev. Lett. 110, 133004 (2013)  arXiv:1211.6867 (2012)  Experimental quantum simulations of manybody physics with trapped ions
Rep. Prog. Phys. 75, 024401 (2012)