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We study the dynamics of open quantum many-body systems driven across a  critical point by quenching a parameter of the Hamiltonian at a certain  velocity. General scaling laws are derived for the density of\ud   excitations and of energy produced during the quench as a function of\ud   the quench velocity and the bath temperature. The scaling laws and their  regimes of validity are verified for the XY spin chain locally coupled\ud   to bosonic baths. A detailed derivation and analysis of the kinetic\ud   equations for the problem is presented

Adiabatic dynamics of a quantum critical system coupled to an environment: Scaling and kinetic equation approaches