TY - JOUR

T1 - Equilibration and coarsening in the quantum O(N) model at infinite N

AU - Chandran, Anushya

AU - Nanduri, Arun

AU - Gubser, Steven S.

AU - Sondhi, Shivaji Lal

PY - 2013/7/31

Y1 - 2013/7/31

N2 - The quantum O(N) model in the infinite-N limit is a paradigm for symmetry breaking. Qualitatively, its phase diagram is an excellent guide to the equilibrium physics for more realistic values of N in varying spatial dimensions (d>1). Here, we investigate the physics of this model out of equilibrium, specifically its response to global quenches starting in the disordered phase. If the model were to exhibit equilibration, the late-time state could be inferred from the finite-temperature phase diagram. In the infinite-N limit, we show that not only does the model not lead to equilibration on account of an infinite number of conserved quantities, it also does not relax to a generalized Gibbs ensemble (GGE) consistent with these conserved quantities. Instead, an infinite number of new conservation laws emerge at late times and the system relaxes to an emergent GGE consistent with these. Nevertheless, we still find that the late-time states following quenches bear strong signatures of the equilibrium phase diagram. Notably, we find that the model exhibits coarsening to a nonequilibrium critical state only in dimensions d>2, that is, if the equilibrium phase diagram contains an ordered phase at nonzero temperatures.

AB - The quantum O(N) model in the infinite-N limit is a paradigm for symmetry breaking. Qualitatively, its phase diagram is an excellent guide to the equilibrium physics for more realistic values of N in varying spatial dimensions (d>1). Here, we investigate the physics of this model out of equilibrium, specifically its response to global quenches starting in the disordered phase. If the model were to exhibit equilibration, the late-time state could be inferred from the finite-temperature phase diagram. In the infinite-N limit, we show that not only does the model not lead to equilibration on account of an infinite number of conserved quantities, it also does not relax to a generalized Gibbs ensemble (GGE) consistent with these conserved quantities. Instead, an infinite number of new conservation laws emerge at late times and the system relaxes to an emergent GGE consistent with these. Nevertheless, we still find that the late-time states following quenches bear strong signatures of the equilibrium phase diagram. Notably, we find that the model exhibits coarsening to a nonequilibrium critical state only in dimensions d>2, that is, if the equilibrium phase diagram contains an ordered phase at nonzero temperatures.

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U2 - 10.1103/PhysRevB.88.024306

DO - 10.1103/PhysRevB.88.024306

M3 - Article

AN - SCOPUS:84881166169

SN - 1098-0121

VL - 88

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 2

M1 - 024306

ER -