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@article{Graefe:2016:7/075009,
author = {Graefe, EM and Korsch, HJ and Rush, A},
doi = {7/075009},
journal = {New Journal of Physics},
title = {Quasiclassical analysis of Bloch oscillations in non-Hermitian tight-binding lattices},
url = {http://dx.doi.org/10.1088/1367-2630/18/7/075009},
volume = {18},
year = {2016}
}

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TY  - JOUR
AB  - Many features of Bloch oscillations in one-dimensional quantum lattices with a static force can be described by quasiclassical considerations for example by means of the acceleration theorem, at least for Hermitian systems. Here the quasiclassical approach is extended to non-Hermitian lattices, which are of increasing interest. The analysis is based on a generalised non-Hermitian phase space dynamics developed recently. Applications to a single-band tight-binding system demonstrate that many features of the quantum dynamics can be understood from this classical description qualitatively and even quantitatively. Two non-Hermitian and PT-symmetric examples are studied, a Hatano–Nelson lattice with real coupling constants and a system with purely imaginary couplings, both for initially localised states in space or in momentum. It is shown that the time-evolution of the norm of the wave packet and the expectation values of position and momentum can be described in a classical picture.
AU  - Graefe,EM
AU  - Korsch,HJ
AU  - Rush,A
DO  - 7/075009
PY  - 2016///
SN  - 1367-2630
TI  - Quasiclassical analysis of Bloch oscillations in non-Hermitian tight-binding lattices
T2  - New Journal of Physics
UR  - http://dx.doi.org/10.1088/1367-2630/18/7/075009
UR  - http://hdl.handle.net/10044/1/33382
VL  - 18
ER  -

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