Séminaire du LPTMS: Laurent de Forges de Parny


11:30 - 12:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405
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Multicomponent Bose-Hubbard Model: Nematic Order in Spinor Condensates

Laurent de Forges de Parny (Albert-Ludwigs University of Freiburg, Germany)

Since the seminal work of D. Jaksch et al. [1], the motivation of considering bosonic mixtures has emerged from the promising perspectives of observing coexisting quantum phases, spin-dynamics, and quantum magnetism. Recently, ultracold bosons with effective spin degree of freedom allowed to engineer magnetic quantum phase transitions and non trivial magnetic phases, e.g. the nematic order, which breaks the spin-rotation symmetry without magnetic order [2].

I will discuss the magnetic properties of strongly interacting spin-1 bosons in optical lattices. Employing a combined strategy based on exact numerical methods (quantum Monte Carlo simulations and exact diagonalization) and analytical calculations, we have derived the phase diagrams and characterized the phase transitions beyond the mean field description [3,4]. Furthermore, we have established the low energy spectrum of the nematic superfluid phase and have confirmed a singlet-to-nematic phase transition inside the Mott insulator phase.


  1. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner and P. Zoller, Cold Bosonic Atoms in Optical Lattices, Phys. Rev. Lett. 81, 3108 (1998)
  2. T. Zibold, V. Corre, C. Frapolli, A. Invernizzi, J. Dalibard and F. Gerbier, Spin-nematic order in antiferromagnetic spinor condensates, Phys. Rev. A 93, 023614 (2016).
  3. L. de Forges de Parny, F. Hébert, V. G. Rousseau, and G. G. Batrouni, Interacting spin-1 bosons in a two-dimensional optical lattice, Phys. Rev. B 88, 104509 (2013).
  4. Laurent de Forges de Parny, Hongyu Yang, and Frédéric Mila, Anderson Tower of States and Nematic Order of Spin-1 Bosonic Atoms on a 2D Lattice, Phys.Rev.Lett. 113, 200402 (2014)

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