Built on

M. V. Berry, “Semiclassical theory of spectral rigidity,” Proc. R. Soc. Lond. A 400
1985
Earlier work this paper cites.
O. Parcollet and A. Georges, “Non-Fermi-liquid regime of a doped Mott insulator,” Phys. Rev. B
1999
Earlier work this paper cites.
M. Rigol and L. F. Santos, “Quantum chaos and thermalization in gapped systems,” Phys. Rev. A 82
2010
Earlier work this paper cites.
R. Gurau, “Invitation to Random Tensors,” SIGMA 12
Original
2012
Earlier work this paper cites.
S. Sachdev and J. Ye, “Gapless spin-fluid ground state in a random quantum Heisenberg magnet,” Phys. Rev. Lett
2015
Earlier work this paper cites.

Similar

Then

J. Maldacena and D. Stanford, “Remarks on the Sachdev-Ye-Kitaev model,” Phys. Rev. D 94
Original
2016
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A. Almheiri and J. Polchinski, “Models of AdS 2
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2016
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S. Sanyal, K. Damle and O. I. Motrunich, “Vacancy-induced low-energy states in undoped graphene,” Phy. Rev. Lett. 117
2016
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W. Fu and S. Sachdev, “Numerical study of fermion and boson models with infinite-range random interactions,” Phys. Rev. B 94
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2016
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2016

Quantum Chaos and Holographic Tensor Models

Krishnan, Chethan, Sanyal, Sambuddha, Subramanian, P. N. Bala

Understand

A class of tensor models were recently outlined as potentially calculable examples of holography: their perturbative large-$N$ behavior is similar to the Sachdev-Ye-Kitaev (SYK) model, but they are fully quantum mechanical (in the sense that there is no quenched disorder averaging).

These facts make them intriguing tentative models for quantum black holes.
In this note, we explicitly diagonalize the simplest non-trivial Gurau-Witten tensor model and study its spectral and late-time properties.
We find parallels to (a single sample of) SYK where some of these features were recently attributed to random matrix behavior and quantum chaos.

Built on

M. V. Berry, “Semiclassical theory of spectral rigidity,” Proc. R. Soc. Lond. A 400
1985
Earlier work this paper cites.
O. Parcollet and A. Georges, “Non-Fermi-liquid regime of a doped Mott insulator,” Phys. Rev. B
1999
Earlier work this paper cites.
M. Rigol and L. F. Santos, “Quantum chaos and thermalization in gapped systems,” Phys. Rev. A 82
2010
Earlier work this paper cites.
R. Gurau, “Invitation to Random Tensors,” SIGMA 12
Original
2012
Earlier work this paper cites.
S. Sachdev and J. Ye, “Gapless spin-fluid ground state in a random quantum Heisenberg magnet,” Phys. Rev. Lett
2015
Earlier work this paper cites.