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.
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U2 - 10.1103/PhysRevE.92.042151
DO - 10.1103/PhysRevE.92.042151
M3 - Article
AN - SCOPUS:84946811033
SN - 1539-3755
VL - 92
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 4
M1 - 042151
ER -