TY - JOUR

T1 - Aging and coarsening in isolated quantum systems after a quench

T2 - Exact results for the quantum O(N) model with N → ∞

AU - Maraga, Anna

AU - Chiocchetta, Alessio

AU - Mitra, Aditi

AU - Gambassi, Andrea

N1 - Publisher Copyright:
© 2015 American Physical Society.

PY - 2015/10/26

Y1 - 2015/10/26

N2 - The nonequilibrium dynamics of an isolated quantum system after a sudden quench to a dynamical critical point is expected to be characterized by scaling and universal exponents due to the absence of time scales. We explore these features for a quench of the parameters of a Hamiltonian with O(N) symmetry, starting from a ground state in the disordered phase. In the limit of infinite N, the exponents and scaling forms of the relevant two-time correlation functions can be calculated exactly. Our analytical predictions are confirmed by the numerical solution of the corresponding equations. Moreover, we find that the same scaling functions, yet with different exponents, also describe the coarsening dynamics for quenches below the dynamical critical point.

AB - The nonequilibrium dynamics of an isolated quantum system after a sudden quench to a dynamical critical point is expected to be characterized by scaling and universal exponents due to the absence of time scales. We explore these features for a quench of the parameters of a Hamiltonian with O(N) symmetry, starting from a ground state in the disordered phase. In the limit of infinite N, the exponents and scaling forms of the relevant two-time correlation functions can be calculated exactly. Our analytical predictions are confirmed by the numerical solution of the corresponding equations. Moreover, we find that the same scaling functions, yet with different exponents, also describe the coarsening dynamics for quenches below the dynamical critical point.

UR - http://www.scopus.com/inward/record.url?scp=84946811033&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84946811033&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.92.042151

DO - 10.1103/PhysRevE.92.042151

M3 - Article

AN - SCOPUS:84946811033

SN - 1063-651X

VL - 92

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 4

M1 - 042151

ER -