Generalized Bloch equations for a strongly driven tunneling system

1996/05/31 by Peter Neu, Jochen Rau · 1 citation
Mathematics · Physics and Astronomy · #Bloch equations #Classical mechanics #Dynamical systems theory #Formalism (music) #Laser-Matter Interactions and Applications #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear system #Ohmic contact #Physics #Quantum mechanics #Quantum optics and atomic interactions #Quantum tunnelling #Spectroscopy and Quantum Chemical Studies #atom-ph #chem-ph #cond-mat #quant-ph

paper · pdf · doi:10.1103/physreve.55.2195

published as Phys.Rev.E55:2195-2202,1997 · 16 pages REVTeX, 2 figures; version to appear in Phys. Rev. E

arxiv created 1996/11/07 · openalex publication_date 1997/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using the Robertson projection operator formalism, we derive generalized Bloch equations which describe the dynamics of a biased two-level tunneling system strongly driven by an external field and weakly coupled to a super-Ohmic heat bath. The generalized Bloch equations constitute a set of coupled nonlinear integro-differential equations. With their help we investigate the influence of phonons on the phenomenon of dynamical localization.

Citations

• Dynamics of the dissipative two-state system

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