Driven Tunneling Dynamics: Bloch-Redfield Theory versus Path Integral Approach

Details Driven Tunneling Dynamics: Bloch-Redfield Theory versus Path Integral Approach Driven Tunneling Dynamics: Bloch-Redfield Theory versus Path Integral Approach

1999-10-22

arxiv.org/abs/cond-mat/9910359v2

Phys. Rev. E 61, 4687-4690, Rapid Communication (2000)

Physics

Condensed Matter

Statistical Mechanics

4 pages including 3 figures, submitted for publication

Scientific paper

10.1103/PhysRevE.61.R4687

In the regime of weak bath coupling and low temperature we demonstrate numerically for the spin-boson dynamics the equivalence between two widely used but seemingly different roads of approximation, namely the path integral approach and the Bloch-Redfield theory. The excellent agreement between these two methods is corroborated by a novel efficient analytical high-frequency approach: it well approximates the decay of quantum coherence via a series of damped coherent oscillations. Moreover, a suitably tuned control field can selectively enhance or suppress quantum coherence.

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