Imperial College London
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DrEva-MariaGraefe

Faculty of Natural Sciences, Department of Mathematics

Royal Society University Research Fellow (Reader)
 
 
 
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Contact

 

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

 
 
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Location

 

6M35Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Graefe:2010:10.1103/PhysRevA.82.013629,
author = {Graefe, E and Korsch, HJ and Niederle, AE},
doi = {10.1103/PhysRevA.82.013629},
journal = {Phys. Rev. A},
title = {Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer},
url = {http://dx.doi.org/10.1103/PhysRevA.82.013629},
volume = {82},
year = {2010}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We investigate the many-particle and mean-field correspondence for anon-Hermitian N-particle Bose-Hubbard dimer where a complex onsite energydescribes an effective decay from one of the modes. Recently a generalizedmean-field approximation for this non-Hermitian many-particle system yieldingan alternative complex nonlinear Schr\"odinger equation was introduced. Here wegive details of this mean-field approximation and show that the resultingdynamics can be expressed in a generalized canonical form that includes ametric gradient flow. The interplay of nonlinearity and non-Hermiticityintroduces a qualitatively new behavior to the mean-field dynamics: Thepresence of the non-Hermiticity promotes the self-trapping transition, whiledamping the self-trapping oscillations, and the nonlinearity introduces astrong sensitivity to the initial conditions in the decay of the normalization.Here we present a complete characterization of the mean-field dynamics and thefixed point structure. We also investigate the full many-particle dynamics,which shows a rich variety of breakdown and revival as well as tunnelingphenomena on top of the mean-field structure.
AU  - Graefe,E
AU  - Korsch,HJ
AU  - Niederle,AE
DO  - 10.1103/PhysRevA.82.013629
PY  - 2010///
TI  - Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer
T2  - Phys. Rev. A
UR  - http://dx.doi.org/10.1103/PhysRevA.82.013629
UR  - http://arxiv.org/abs/1003.3355v2
UR  - http://hdl.handle.net/10044/1/18490
VL  - 82
ER  -
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