English

Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer

Quantum Physics 2008-10-10 v2 Other Condensed Matter

Abstract

We investigate an NN-particle Bose-Hubbard dimer with an additional effective decay term in one of the sites. A mean-field approximation for this non-Hermitian many-particle system is derived, based on a coherent state approximation. The resulting nonlinear, non-Hermitian two-level dynamics, in particular the fixed point structures showing characteristic modifications of the self-trapping transition, are analyzed. The mean-field dynamics is found to be in reasonable agreement with the full many-particle evolution.

Keywords

Cite

@article{arxiv.0807.1777,
  title  = {Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer},
  author = {E. M. Graefe and H. J. Korsch and A. E. Niederle},
  journal= {arXiv preprint arXiv:0807.1777},
  year   = {2008}
}

Comments

4 pages, 3 figures, published version

R2 v1 2026-06-21T10:59:31.765Z