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

Dario Patanè; Alessandro Silva; Luigi Amico; Rosario Fazio; Giuseppe E. Santoro

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arXiv · 0812.3685

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

Dario Patanè·Alessandro Silva·Luigi Amico·Rosario Fazio·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.

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Dario Patanè, Alessandro Silva, Luigi Amico, Rosario Fazio, Giuseppe E. Santoro. 2008-12-19. Adiabatic dynamics of a quantum critical system coupled to an environment: Scaling and kinetic equation approaches. https://arxiv.org/abs/0812.3685

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