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American Physical Society, Physical review B, 2(80), 2009

DOI: 10.1103/physrevb.80.024302

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

Journal article published in 2009 by Dario Patane', Dario Patan?, Dario Patane, Dario Patanè, Luigi Amico, Alessandro Silva ORCID, Rosario Fazio, Santoro Ge, Giuseppe E. Santoro
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Abstract

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. ; Comment: 15 pages, 13 figures