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J. Madore, The Fuzzy sphere , Class. Quant. Grav. 9
1992
Earlier work this paper cites.
M. Srednicki, Entropy and area , Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
N. Seiberg and E. Witten, String theory and noncommutative geometry , JHEP 09
1999
Earlier work this paper cites.
D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry , Phys. Rev. D62
2000
Earlier work this paper cites.
M. R. Douglas and N. A. Nekrasov, Noncommutative field theory , Rev. Mod. Phys. 73
2001
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, Evolution of entanglement entropy in one-dimensional systems , J. Stat. Mech. 0504
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
D. Dou and B. Ydri, Entanglement entropy on fuzzy spaces , Phys. Rev. D74
2006
Earlier work this paper cites.

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2017

Sabella-Garnier, Philippe

We numerically study the behaviour of entanglement entropy for a free scalar field on the noncommutative ("fuzzy") sphere after a mass quench.

It is known that the entanglement entropy before a quench violates the usual area law due to the non-local nature of the theory.
By comparing our results to the ordinary sphere, we find results that, despite this non-locality, are compatible with entanglement being spread by ballistic propagation of entangled quasi-particles at a speed no greater than the speed of light.
However, we also find that, when the pre-quench mass is much larger than the inverse of the short-distance cutoff of the fuzzy sphere (a regime with no commutative analogue), the entanglement entropy spreads faster than allowed by a local model.

J. Madore, The Fuzzy sphere , Class. Quant. Grav. 9
1992
Earlier work this paper cites.
M. Srednicki, Entropy and area , Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
N. Seiberg and E. Witten, String theory and noncommutative geometry , JHEP 09
1999
Earlier work this paper cites.
D. Bigatti and L. Susskind, Magnetic fields, branes and noncommutative geometry , Phys. Rev. D62
2000
Earlier work this paper cites.
M. R. Douglas and N. A. Nekrasov, Noncommutative field theory , Rev. Mod. Phys. 73
2001
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, Evolution of entanglement entropy in one-dimensional systems , J. Stat. Mech. 0504
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
D. Dou and B. Ydri, Entanglement entropy on fuzzy spaces , Phys. Rev. D74
2006
Earlier work this paper cites.