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2011

Trapped surfaces and emergent curved space in the Bose-Hubbard model

Caravelli, Francesco, Hamma, Alioscia, Markopoulou, Fotini et al.

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A Bose-Hubbard model on a dynamical lattice was introduced in previous work as a spin system analogue of emergent geometry and gravity.

Graphs with regions of high connectivity in the lattice were identified as candidate analogues of spacetime geometries that contain trapped surfaces.
We carry out a detailed study of these systems and show explicitly that the highly connected subgraphs trap matter.
We do this by solving the model in the limit of no back-reaction of the matter on the lattice, and for states with certain symmetries that are natural for our problem.

Trapped surfaces and emergent curved space in the Bose-Hubbard model · Around

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