Berlin 2015 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 69: Other Low Temperature Topics: Cold Atomic Gases
TT 69.12: Talk
Wednesday, March 18, 2015, 18:00–18:15, A 053
Phase Space Interactions and Exchange Quasienergy — •Lingzhen Guo1,2, Modan Liu1,3, and Michael Marthaler1 — 1Institut für Theoretische Festkörperphysik, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany — 2Department of Microtechnology and Nanoscience (MC2), Chalmers University of Technology, SE-41296 Göteborg, Sweden — 3Department of Physics, Beijing Normal University, Beijing 100875, China
In this work, we investigate the dynamics of many interacting atoms trapped in a one dimensional (1D) harmonic potential and driven by laser beams. By going to a rotating frame, we transform the one dimensional (spatial)interaction potential to a two dimensional potential in phase space, which only depends on the phase space distance under rotating wave approximation (RWA). The phase space interaction potentials, describing the interaction between slow evolution modes of interacting particles under RWA, are created by exchanging their fast oscillating modes. We quantize the phase space interactions and apply it to the study of driven multistable systems. We propose the concept of exchange quasienergy and calculate it for the system of two driven half-spin fermions, which is the difference of quasienergies between the singlet and triplet states. In theory, our work provides a new mechanism of creating interactions by exchanging not intermediate bosons but the interacting particles themselves. In experiments, the novel effects related to exchange quasienergy can be directly measured and may bring a new way to manipulate entangled states of atoms.