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arXiv · 1403.1392

Equilibration in low-dimensional quantum matrix models

R. Hübener·Y. Sekino·J. Eisert
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Abstract

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 low-dimensional bosonic matrix models. In this equivalent model significant local structure becomes apparent and it can serve as a simple toy model for 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 generalizations of the approach.

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R. Hübener, Y. Sekino, J. Eisert. 2015-11-20. Equilibration in low-dimensional quantum matrix models. https://doi.org/10.1007/jhep04(2015)166

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