Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Reader in Mathematical Physics



+44 (0)20 7594 8549e.graefe CV




6M12Huxley BuildingSouth Kensington Campus





I am a Royal Society University Research Fellow and proleptic Senior Lecturer in the Mathematical Physics Group. I am working on the development of a semiclassical framework for non-Hermitian quantum theories.

My research background is in theoretical quantum dynamics in the context of atomic physics, and in particular the description of ultracold atoms and Bose-Einstein condensates. In this context I have been working on non-Hermitian and PT-symmetric quantum theories, semiclassical methods and quantum chaos.

Selected Publications

Journal Articles

Graefe EM, Korsch HJ, Rush A, 2016, Quasiclassical analysis of Bloch oscillations in non- Hermitian tight-binding lattices, New Journal of Physics, Vol:18, ISSN:1367-2630

Graefe E-M, Rush A, Schubert R, 2016, Propagation of Gaussian Beams in the Presence of Gain and Loss, IEEE Journal of Selected Topics in Quantum Electronics, Vol:22, ISSN:1077-260X

Graefe E-M, Mudute-Ndumbe S, Taylor M, 2015, Random matrix ensembles for $PT$-symmetric systems, Journal of Physics A - Mathematical and Theoretical, Vol:48, ISSN:1751-8113

Graefe E-M, Graney M, Rush A, 2015, Semiclassical quantization for a bosonic atom-molecule conversion system, Physical Review A, Vol:92, ISSN:1050-2947

Graefe E-M, Korsch HJ, Rush A, et al., 2014, Classical and quantum dynamics in the (non-Hermitian) Swanson oscillator, Journal of Physics A-mathematical and General, ISSN:1361-6447

Graefe E-M, 2013, Quantum Chaos on Display, Physics, Vol:6

Brody DC, Graefe E-M, 2012, Mixed-State Evolution in the Presence of Gain and Loss, Physical Review Letters, Vol:109, ISSN:0031-9007

Graefe E-M, Mailybaev AA, Moiseyev N, 2013, Breakdown of adiabatic transfer of light in waveguides in the presence of absorption, Physical Review A, Vol:88, ISSN:1050-2947

Graefe E-M, 2012, Stationary states of a PT symmetric two-mode Bose-Einstein condensate, Journal of Physics A - Mathematical and Theoretical, Vol:45, ISSN:1751-8113

Demange G, Graefe E-M, 2012, Signatures of three coalescing eigenfunctions, Journal of Physics A - Mathematical and Theoretical, Vol:45, ISSN:1751-8113

Brody DC, Graefe E-M, 2011, Six-dimensional space-time from quaternionic quantum mechanics, Physical Review D, Vol:84, ISSN:1550-7998

Graefe E-M, Jones HF, 2011, PT-symmetric sinusoidal optical lattices at the symmetry-breaking threshold, Physical Review A, Vol:84, ISSN:1050-2947

Graefe E-M, Schubert R, 2011, Wave-packet evolution in non-Hermitian quantum systems, Physical Review A, Vol:83, ISSN:1050-2947

Graefe EM, Korsch HJ, 2007, Semiclassical quantization of an N-particle Bose-Hubbard model, Physical Review A, Vol:76, ISSN:1050-2947

Witthaut D, Graefe EM, Korsch HJ, 2006, Towards a generalized Landau-Zener formula for an interacting Bose-Einstein condensate in a two-level system, Physical Review A, Vol:73, ISSN:1050-2947

Graefe EM, Korsch HJ, Witthaut D, 2006, Mean-field dynamics of a Bose-Einstein condensate in a time-dependent triple-well trap: Nonlinear eigenstates, Landau-Zener models, and stimulated Raman adiabatic passage, Physical Review A, Vol:73, ISSN:2469-9926

Graefe E-M, Korsch HJ, Niederle AE, 2010, Quantum-classical correspondence for a non-Hermitian Bose-Hubbard dimer, Physical Review A, Vol:82, ISSN:1050-2947

Graefe EM, Korsch HJ, Niederle AE, 2008, Mean-Field Dynamics of a Non-Hermitian Bose-Hubbard Dimer, Physical Review Letters, Vol:101, ISSN:0031-9007

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