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 excitations and of energy produced during the quench as a function of the quench velocity and the 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 equations for the problem is presented.
Adiabatic dynamics of a quantum critical system coupled to an environment: Scaling and kinetic equation approaches / Patane, D; Amico, L; Silva, A; Fazio, R; Santoro, Ge. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - 80:2(2009), pp. 024302.1-024302.10. [10.1103/PhysRevB.80.024302]
Adiabatic dynamics of a quantum critical system coupled to an environment: Scaling and kinetic equation approaches
Silva, A;Santoro, GE
2009-01-01
Abstract
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 excitations and of energy produced during the quench as a function of the quench velocity and the 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 equations for the problem is presented.| File | Dimensione | Formato | |
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