Quantum Dynamics of System Strongly Coupled to Low-Temperature Colored Noise Bath: Reduced Hierarchy Equations Approach

By Akihito Ishizaki, Y. Tanimura. 2005

450 citations recorded by the source corpus.

Reduced equations of motion for a two-level system strongly coupled to a harmonic oscillators bath are constructed by extending the hierarchy of equations introduced by Tanimura and Kubo [J. Phys. ...

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/864b4d00a8f5e7111972dac7a5a2dd5388ada9ae

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Modelling of oscillations in two-dimensional echo-spectra of the Fenna–Matthews–Olson complex (2011, methodology): “The hierarchical equations of motions (HEOM), first developed by Tanimura and Kubo [19] and subsequently refined in [20, 21, 22, 23], show oscillations in the dynamics of the exciton populations that persist even at temperature T = 300 K [24, 25].”
Dynamics of non-Markovian open quantum systems (2015, methodology): “Naturally, the number of Matsubara frequencies must be truncated Han et al. (2006); Ishizaki and Tanimura (2005); and Xu et al. (2005).”
Vibrations, quanta and biology (2013, background): “Recently, the numerical hierarchy technique [39,153,154], which has a longstanding history [155–157], has received renewed attention in the context of excitation energy transfer across pigment–protein complexes.”