2012/07/31 by Alessandro Sergi, ALESSANDRO SERGI, Konstantin G. Zloshchastiev +1 · 106 citations
Mathematics · Physics and Astronomy · #cond-mat.stat-mech #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1142/s0217979213501634
published in International Journal of Modern Physics B 27(27), 1350163 (World Scientific Pub Co Pte Lt) · Updates: [v2] Added: mixed states and purification, connection between non-Hermitian and non-linear QM; [v3] Fixed found errors/typos; [v4] Updated references, some stylistic corrections; [v5] Final/published version
crossref created 2013/09/11 · crossref issued 2013/10/15 · crossref published 2013/10/15 · crossref published-online 2013/10/15 · arxiv created 2013/10/24 · arxiv updated 2013/10/25 · crossref published-print 2013/10/30 · crossref deposited 2019/08/06 · crossref indexed 2026/08/03
We consider a non-Hermitian Hamiltonian in order to effectively describe a two-level system (TLS) coupled to a generic dissipative environment. The total Hamiltonian of the model is obtained by adding a general anti-Hermitian part, depending on four parameters, to the Hermitian Hamiltonian of a tunneling TLS. The time evolution is formulated and derived in terms of the normalized density operator of the model, different types of decays are revealed and analyzed. In particular, the population difference and coherence are defined and calculated analytically. We have been able to mimic various physical situations with different properties, such as dephasing, vanishing population difference and purification.