Non-Markovian decoherence of a two-level system weakly coupled to a bosonic bath
Journal article, 2011

The Bloch-Redfield equation is a common tool for studying the evolution of qubit systems weakly coupled to the environment. We investigate the accuracy of the Born approximation underlying this equation. We find that the high-order terms in the perturbative expansion contain accumulating divergences that make straightforward Born approximation inappropriate. We develop a diagrammatic technique to formulate, and solve the improved self-consistent Born approximation. This more accurate treatment reveals an exponential timedependent prefactor in the non-Markovian contribution dominating the qubit long-time relaxation found in Di Vincenzo D. P. and Loss D., Phys. Rev. B, 71 (2005) 035318. At the same time, the associated dephasing is not affected and is described by the Born-Markov approximation.

Author

A.A. Slutskin

Institute for Low Temperature Physics and Engineering

K.N. Bratus'

Institute for Low Temperature Physics and Engineering

Anders Bergvall

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Vitaly Shumeiko

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Europhysics Letters

0295-5075 (ISSN) 1286-4854 (eISSN)

Vol. 96 4 4003-

Areas of Advance

Nanoscience and Nanotechnology (2010-2017)

Subject Categories

Other Physics Topics

Condensed Matter Physics

DOI

10.1209/0295-5075/96/40003

More information

Created

10/7/2017