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.
2009
80
2
1
10
024302
https://arxiv.org/abs/0812.3685
Patane, D; Amico, L; Silva, A; Fazio, R; Santoro, Ge
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13599
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