2014/09/18 by Ralf Blattmann, Sigmund Kohler, Peter Hänggi · 1 citation
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Boson #Channel (broadcasting) #Chemistry #Classical mechanics #Coupling (piping) #Dissipation #Floquet theory #Hamiltonian (control theory) #Interference (communication) #Mathematics #Operator (biology) #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum decoherence #Quantum mechanics #Quantum optics and atomic interactions #Qubit #Time evolution #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physreva.91.042109
published as Phys. Rev. A 91, 042109 (2015) · 10 pages, 6 figures, submitted to PRA
arxiv created 2014/09/18 · openalex publication_date 2015/04/09 · arxiv updated 2015/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive the structure of Landau-Zener-St"uckelberg-Majorana (LZSM) interference patterns for a qubit that experiences quantum dissipation and is additionally subjected to time-periodic but otherwise general driving. A spin-boson Hamiltonian serves as the model, which we treat with a Bloch-Redfield master equation in the Floquet basis. It predicts resonance peaks whose form depends significantly on the operator through which the qubit couples to the bath. The Fourier transforms of the LZSM patterns exhibit arc structures which reflect the shape of the driving. These features are captured by an effective time-independent Bloch equation which provides an analytical solution. Moreover, we determine the decay of these arcs as a function of dissipation strength and temperature.