Berlin 2014 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 16: Poster: Quantum information, micromechanical oscillators, matter wave optics, precision measurements and metrology

Q 16.4: Poster

Monday, March 17, 2014, 16:30–18:30, Spree-Palais

Closed form solution of Lindblad master equations without gain — •Juan Mauricio Torres — Theoretische Physik, Universität des Saarlandes, D66123 Saarbrücken, Germany — Institut für Angewandte Physik, Technische Universität Darmstadt, D-64289 Germany — Departamento de Investigación en Física, Universidad de Sonora, Hermosillo, México

We present a closed form solution of the eigenvalue problem of a class of master equations that describe open quantum systems with loss and dephasing but without gain. The method relies on the existence of a conserved number of excitations in the Hamiltonian part and on the fact that none of the Lindblad operators describes an excitation of the system. In the absence of dephasing Lindblad operators the eigensystem of the Liouville operators can be constructed from the eigenvalues and eigenvectors of the effective non-hermitian Hamiltonian used in the quantum jump approach. Open versions of spin chains, of the Tavis-Cummings model and of coupled harmonic oscillators without gain can be solved using this technique.