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M. Tsutsumi, “On solutions of Liouville’s equation,” Journal of Mathematical Analysis and Applications 76
1980
Earlier work this paper cites.
S. Sachdev and J. Ye, “Gapless spin-fluid ground state in a random quantum Heisenberg magnet,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
K. Damle and S. Sachdev, “Nonzero-temperature transport near quantum critical points,” Phys. Rev. B 56
1997
Earlier work this paper cites.
S. Sachdev, “Nonzero-temperature transport near fractional quantum Hall critical points,” Phys. Rev. B 57
1998
Earlier work this paper cites.
S. Sachdev, Quantum Phase Transitions , 1st ed. (Cambridge University Press, Cambridge, UK, 1999)
1999
Earlier work this paper cites.
O. Parcollet and A. Georges, “Non-Fermi-liquid regime of a doped Mott insulator,” Phys. Rev. B 59
1999
Earlier work this paper cites.
T. A. Sedrakyan and V. M. Galitski, “Majorana path integral for nonequilibrium dynamics of two-level systems,” Phys. Rev. B 83
Original
2005
Earlier work this paper cites.
A. Kamenev, Field Theory of Non-Equilibrium Systems , 3rd ed. (Cambridge University Press, Cambridge, 2013)
2013
Earlier work this paper cites.

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2017

Eberlein, Andreas, Kasper, Valentin, Sachdev, Subir et al.

We describe the non-equilibrium dynamics of the Sachdev-Ye-Kitaev models of fermions with all-to-all interactions.

These provide tractable models of the dynamics of quantum systems without quasiparticle excitations.
The Kadanoff-Baym equations show that the final state is thermal, and their numerical analysis appears consistent with a thermalization rate proportional to the absolute temperature of the final state.
We also obtain an exact analytic solution of the non-equilibrium dynamics in the large $q$ limit of a model with $q$ fermion interactions: in this limit, the thermalization of the fermion Green's function is instantaneous.

M. Tsutsumi, “On solutions of Liouville’s equation,” Journal of Mathematical Analysis and Applications 76
1980
Earlier work this paper cites.
S. Sachdev and J. Ye, “Gapless spin-fluid ground state in a random quantum Heisenberg magnet,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
K. Damle and S. Sachdev, “Nonzero-temperature transport near quantum critical points,” Phys. Rev. B 56
1997
Earlier work this paper cites.
S. Sachdev, “Nonzero-temperature transport near fractional quantum Hall critical points,” Phys. Rev. B 57
1998
Earlier work this paper cites.
S. Sachdev, Quantum Phase Transitions , 1st ed. (Cambridge University Press, Cambridge, UK, 1999)
1999
Earlier work this paper cites.
O. Parcollet and A. Georges, “Non-Fermi-liquid regime of a doped Mott insulator,” Phys. Rev. B 59
1999
Earlier work this paper cites.
T. A. Sedrakyan and V. M. Galitski, “Majorana path integral for nonequilibrium dynamics of two-level systems,” Phys. Rev. B 83
Original
2005
Earlier work this paper cites.
A. Kamenev, Field Theory of Non-Equilibrium Systems , 3rd ed. (Cambridge University Press, Cambridge, 2013)
2013
Earlier work this paper cites.