Equilibrium and nonequilibrium dynamics of the sub-Ohmic spin-boson model

被引:119
作者
Anders, Frithjof B. [1 ]
Bulla, Ralf
Vojta, Matthias
机构
[1] Univ Bremen, Fachbereich Phys, D-28334 Bremen, Germany
[2] Univ Augsburg, D-86135 Augsburg, Germany
[3] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany
关键词
D O I
10.1103/PhysRevLett.98.210402
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Employing the nonperturbative numerical renormalization group method, we study the dynamics of the spin-boson model, which describes a two-level system coupled to a bosonic bath with a spectral density J(omega)proportional to omega(s). We show that, in contrast with the case of Ohmic damping, the delocalized phase of the sub-Ohmic model cannot be characterized by a single energy scale only, due to the presence of a nontrivial quantum phase transition. In the strongly sub-Ohmic regime, s < 1, weakly damped coherent oscillations on short time scales are possible even in the localized phase-this is of crucial relevance, e.g., for qubits subject to electromagnetic noise.
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页数:4
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