Critical quench dynamics in confined systems (2) 

Mario Collura 
Laboratoire de Physique des Matériaux (Nancy 1) 

le Wednesday 16 June 2010 à 10h25 
Salle de séminaire du groupe de Physique Statistique 


We analyze the coherent quantum evolution of a manyparticle system after slowly sweeping a powerlaw confining potential. The amplitude of the confining potential is varied in time along a powerlaw ramp such that the manyparticle system finally reaches or crosses a critical point. Under this protocol we derive general scaling laws for the density of excitations created during the nonadiabatic sweep of the confining potential. It is found that the mean excitation density follows an algebraic law as a function of the sweeping rate with an exponent that depends on the spacetime properties of the potential. We confirm our scaling laws by first order adiabatic calculation and exact results on the Ising quantum chain with a varying transverse field. 
