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{Longstaff:2020:1361-6455/aba717,
author = {Longstaff, B and Graefe, E-M},
doi = {1361-6455/aba717},
journal = {Journal of Physics B: Atomic, Molecular and Optical Physics},
pages = {1--13},
title = {Bloch oscillations in a Bose-Hubbard chain with single-particle losses},
url = {http://dx.doi.org/10.1088/1361-6455/aba717},
volume = {53},
year = {2020}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We theoretically investigate Bloch oscillations in a one-dimensionalBose-Hubbard chain, with single-particle losses from the odd lattice sites,described by the Lindblad equation. For a single particle the time evolution ofthe state is completely determined by a non-Hermitian effective Hamiltonian. Weanalyse the spectral properties of this Hamiltonian for an infinite lattice andlink features of the spectrum to observable dynamical effects, such asfrequency doubling in breathing modes. We further consider the case of manyparticles in the mean-field limit leading to complex nonlinear Schr\"odingerdynamics. Analytic expressions are derived for the generalised nonlinearstationary states and the nonlinear Bloch bands. The interplay of nonlinearityand particle losses leads to peculiar features in the nonlinear Bloch bands,such as the vanishing of solutions and the formation of additional exceptionalpoints. The stability of the stationary states is determined via theBogoliubov-de Gennes equation and is shown to strongly influence the mean-fielddynamics. Remarkably, even far from the mean-field limit, the stability of thenonlinear Bloch bands appears to effect the quantum dynamics. This isdemonstrated numerically for a two-particle system.
AU  - Longstaff,B
AU  - Graefe,E-M
DO  - 1361-6455/aba717
EP  - 13
PY  - 2020///
SN  - 0953-4075
SP  - 1
TI  - Bloch oscillations in a Bose-Hubbard chain with single-particle losses
T2  - Journal of Physics B: Atomic, Molecular and Optical Physics
UR  - http://dx.doi.org/10.1088/1361-6455/aba717
UR  - http://arxiv.org/abs/2002.12727v1
UR  - https://iopscience.iop.org/article/10.1088/1361-6455/aba717
UR  - http://hdl.handle.net/10044/1/80791
VL  - 53
ER  -
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