Quench dynamics of a dissipative quantum system: A renormalization group study

We study dissipation in a small quantum system coupled to an environment held in thermodynamic equilibrium. The relaxation dynamics of a system subject to an abrupt quench in the parameters of the underlying Hamiltonian is investigated using two complementary renormalization group approaches. The me...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2013-10, Vol.88 (16), Article 165133
Main Authors: Kashuba, O., Kennes, D. M., Pletyukhov, M., Meden, V., Schoeller, H.
Format: Article
Language:English
Subjects:
Condensed matter
Dissipation
Dynamic tests
Dynamical systems
Dynamics
Joining
Quantum theory
Thermodynamic equilibrium
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Summary:We study dissipation in a small quantum system coupled to an environment held in thermodynamic equilibrium. The relaxation dynamics of a system subject to an abrupt quench in the parameters of the underlying Hamiltonian is investigated using two complementary renormalization group approaches. The methods are applied to the Ohmic spin-boson model close to the coherent-to-incoherent transition. In particular, the role of non-Markovian memory for the relaxation before and after the quench of the spin-boson coupling and the Zeeman splitting of the up and down spin is investigated.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.88.165133