Erlangen 2018 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 9: Cold atoms II - interactions (joint session A/Q)

Q 9.3: Vortrag

Montag, 5. März 2018, 11:00–11:15, K 2.019

Commensurate-Incommensurate Transition in Optical Cavities — •Andreas Alexander Buchheit¹, Haggai Landa², Cecilia Cormick³, Thomas Fogarty⁴, Eugene Demler⁵, and Giovanna Morigi¹ — ¹Saarland University, 66123 Saarbrücken — ²IPhT, CEA Saclay, France — ³IFEG, CONICET and Universidad Nacional de Cordoba — ⁴Okinawa Institute of Science and Technology, Japan — ⁵Department of Physics, Harvard University, Cambridge, MA 02138, USA

We theoretically analyse the equilibrium configuration of an ion chain which interacts with the optical lattice of a cavity mode. We assume the lattice periodicity is almost commensurate with the interparticle distance of the ions and determine the resulting configuration as a function of their ratio. In the limit of small cooperativity, when cavity backaction is negligible, we show that this system simulates the commensurate-incommensurate phase transition. We derive a field theory for the kinks that are created in the incommensurate phase and determine the effects of the Coulomb repulsion on the phase diagram. When instead the cavity strongly couples to the ions motion we show that the commensurate-incommensurate transition becomes of first order and is associated with bistable behaviour of the cavity field. We characterize the kinks and their interactions and determine the properties of the light at the cavity output across the phase transition.