Quantum Bose-Hubbard model with an evolving graph as a toy model for emergent spacetime
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Hamma-2010-Quantum Bose-Hubbard.pdf
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1.72 MB
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Checksum (MD5)
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Author(s)
Lloyd, Seth
Hamma, Alioscia
Markopoulou, Fotini
Caravelli, Francesco
Severini, Simone
Markström, Klas
Date Issued
May 2010
Journal
Physical Review D
Publisher
American Physical Society
Citation
Hamma, Alioscia et al. “Quantum Bose-Hubbard model with an evolving graph as a toy model for emergent spacetime.” Physical Review D 81.10 (2010): 104032. © 2010 The American Physical Society.
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.81.104032
