QG1 - Loop Quantum Gravity |
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Speaker |
Bianchi, Eugenio |
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Coauthors |
Baytas, Bekir; Yokomizo, Nelson |
| Talk Title |
Gluing polyhedra with entanglement in loop quantum gravity |
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Abstract |
In a spin-network basis state, nodes of the graph describe un-entangled quantum regions of space, quantum polyhedra. In this talk, I discuss how entanglement between intertwiner degrees of freedom enforces gluing conditions for neighboring quantum polyhedra. In particular, I introduce Bell-network states, entangled states defined via squeezed vacuum techniques. I present an analysis of correlations of quantum polyhedra in a dipole, a pentagram, and a generic graph. Finally, I show that vector geometries, structures with neighboring polyhedra having adjacent faces glued back-to-back, arise from Bell-network states. The results presented show clearly the role that entanglement plays in the gluing of neighboring quantum regions of space. |
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