Quantum bose-hubbard model with an evolving graph as a toy model for emergent spacetime
2010 (English)In: Physical Review D. Particles and fields, ISSN 0556-2821, E-ISSN 1089-4918, Vol. 81, no 10, 104032-22 pages p.Article in journal (Refereed) Published
We present a toy model for interacting matter and geometry that explores quantum dynamics in a spin system as a precursor to a quantum theory of gravity. The model has no a priori geometric properties; instead, locality is inferred from the more fundamental notion of interaction between the matter degrees of freedom. The interaction terms are themselves quantum degrees of freedom so that the structure of interactions and hence the resulting local and causal structures are dynamical. The system is a Hubbard model where the graph of the interactions is a set of quantum evolving variables. We show entanglement between spatial and matter degrees of freedom. We study numerically the quantum system and analyze its entanglement dynamics. We analyze the asymptotic behavior of the classical model. Finally, we discuss analogues of trapped surfaces and gravitational attraction in this simple model.
Place, publisher, year, edition, pages
APS , 2010. Vol. 81, no 10, 104032-22 pages p.
gravity, entanglement, dynamics, volume, area
IdentifiersURN: urn:nbn:se:umu:diva-41318DOI: 10.1103/PhysRevD.81.104032ISI: 000278146700080OAI: oai:DiVA.org:umu-41318DiVA: diva2:405617
602NS Times Cited:1 Cited References Count:472011-03-232011-03-232011-03-24Bibliographically approved