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Broken summetries in spin-orbit coupled Bose-Einstein condensates

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In the seminar I will focus on the symmetries characterizing the 1D spin-orbit coupled hamiltonian first realized experimentally by the team of Ian Spielman at Nist. The nature of the new quantum phases and their dynamic properties will be discussed. Special focus will be given on the recently observed rotonic excitation, which follows from the breaking of time reversal and parity symmetry, on the emergence of stripes which follows from the spontaneous breaking of translational invariance, and on the dynamic instability of large amplitude oscillations which is the consequence of the violation of Galielan invariance.

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