Change search
ReferencesLink to record
Permanent link

Direct link
Quantum bose-hubbard model with an evolving graph as a toy model for emergent spacetime
Show others and affiliations
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
Abstract [en]

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.
Keyword [en]
gravity, entanglement, dynamics, volume, area
URN: urn:nbn:se:umu:diva-41318DOI: 10.1103/PhysRevD.81.104032ISI: 000278146700080OAI: diva2:405617
602NS Times Cited:1 Cited References Count:47Available from: 2011-03-23 Created: 2011-03-23 Last updated: 2011-03-24Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Markström, Klas
By organisation
Department of Mathematics and Mathematical Statistics
In the same journal
Physical Review D. Particles and fields

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 20 hits
ReferencesLink to record
Permanent link

Direct link