Equilibration in low-dimensional quantum matrix models
- 182 Downloads
Matrix models play an important role in studies of quantum gravity, being candidates for a formulation of M-theory, but are notoriously difficult to solve. In this work, we present a fresh approach by introducing a novel exact model, provably equivalent with a low-dimensional bosonic matrix model, which is on its own a well-known, unsolved model of quantum chaos. In our equivalent reformulation local structure becomes apparent, facilitating analytical and precise numerical study. We derive a substantial part of the low energy spectrum, find a conserved charge, and are able to derive numerically the Regge trajectories. To exemplify the usefulness of the approach, we address questions of equilibration starting from a non-equilibrium situation, building upon an intuition from quantum information. We finally discuss possible generalisations of the approach.
KeywordsM(atrix) Theories Matrix Models Field Theories in Lower Dimensions Gauge Symmetry
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- M.B. Green, J.H. Schwarz and E. Witten, Superstring theory, vol. 1, Cambridge Univ. Pr., Cambridge U.K. (1987).Google Scholar
- D. Berenstein, private communication.Google Scholar
- Y. Ge and J. Eisert, Area laws and efficient descriptions of quantum many-body states, arXiv:1411.2995.
- M. Müller, Quantum Kolmogorov complexity and the quantum Turing machine, Ph.D. thesis, Technical University of Berlin, Berlin Germany (2007) [arXiv:0712.4377].