Matrix quantum mechanics from qubits
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Publication:1678809
DOI10.1007/JHEP01(2017)010zbMATH Open1373.83083arXiv1608.05090MaRDI QIDQ1678809
Author name not available (Why is that?)
Publication date: 7 November 2017
Published in: (Search for Journal in Brave)
Abstract: We introduce a transverse field Ising model with order N^2 spins interacting via a nonlocal quartic interaction. The model has an O(N,Z), hyperoctahedral, symmetry. We show that the large N partition function admits a saddle point in which the symmetry is enhanced to O(N). We further demonstrate that this `matrix saddle' correctly computes large N observables at weak and strong coupling. The matrix saddle undergoes a continuous quantum phase transition at intermediate couplings. At the transition the matrix eigenvalue distribution becomes disconnected. The critical excitations are described by large N matrix quantum mechanics. At the critical point, the low energy excitations are waves propagating in an emergent 1+1 dimensional spacetime.
Full work available at URL: https://arxiv.org/abs/1608.05090
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