Subject:Integrable and non-integrable models in quantum optics
Speaker：Dr. Daniel Braak（Institute of Physics, University Augsburg, Germany）
Place:lecture hall,10F, NMR Building of Institute，WIPM
About the speaker：
1995 Postdoc at Saarland University with Prof. G. Meissner
1996 Research associate at Rutgers University, USA, with Prof. Natan Andrei
1998 Research associate at the chair for Theoretical Physics II, Institute of Physics, University Augsburg, Germany
2000 Principal investigator of project E8 within the Collaborative Research Center 484, “Cooperative Phenomena in Solids”
2010 Reseach associate at the chair for Experimental Physics VI (theory division), Institute of Physics, University Augsburg.
The Quantum Rabi model, describing dipole interaction between a single mode of the radiation field and a two-level system, may be considered to be integrable if a criterion of quantum integrability suitable for systems with less than two continuous degrees of freedom is employed . Diagonalization of the Hamiltonian corresponds to a solvable connection problem in the Bargmann space of analytic functions. I shall demonstrate that also more complicated models, non-integrable according to the proposed criterion, are exactly solvable within this framework . Further generalizations with non-linear coupling [3,4] reveal close relations with the classical theory of asymptotic analysis in the complex domain.
1. D. Braak, Phys. Rev. Lett. 107, 100401 (2011).
2. D. Braak, J. Phys. B 46, 224007 (2013).
3. S. Felicetti, et al., Phys. Rev. A 92, 033817 (2015).
4. L.W. Duan, Y.F. Xie, D. Braak and Q.H. Chen, J. Phys. A 49, 464002 (2016).