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

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

2008-12-19

arxiv.org/abs/0812.3685v1

Phys. Rev. B 80, 024302 (2009)

Physics

Condensed Matter

Statistical Mechanics

15 pages, 13 figures

Scientific paper

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

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