Frustration and glassiness in spin models with cavity-mediated interactions

Details Frustration and glassiness in spin models with cavity-mediated interactions Frustration and glassiness in spin models with cavity-mediated interactions

2011-08-05

arxiv.org/abs/1108.1400v2

Phys. Rev. Lett. 107, 277201 (2011)

Physics

Condensed Matter

Quantum Gases

5 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.107.277201

We show that the effective spin-spin interaction between three-level atoms confined in a multimode optical cavity is long-ranged and sign-changing, like the RKKY interaction; therefore, ensembles of such atoms subject to frozen-in positional randomness can realize spin systems having disordered and frustrated interactions. We argue that, whenever the atoms couple to sufficiently many cavity modes, the cavity-mediated interactions give rise to a spin glass. In addition, we show that the quantum dynamics of cavity-confined spin systems is that of a Bose-Hubbard model with strongly disordered hopping but no on-site disorder; this model exhibits a random-singlet glass phase, absent in conventional optical-lattice realizations. We briefly discuss experimental signatures of the realizable phases.

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