Quantum bifurcation diagrams
Quantum Physics
2017-11-17 v2 Other Condensed Matter
Abstract
Asymptotic state of an open quantum system can undergo qualitative changes upon small variation of system parameters. We demonstrate it that such 'quantum bifurcations' can be appropriately defined and made visible as changes in the structure of the asymptotic density matrix. By using an -boson open quantum dimer, we present quantum diagrams for the pitchfork and saddle-node bifurcations in the stationary case and visualize a period-doubling transition to chaos for the periodically modulated dimer. In the latter case, we also identify a specific bifurcation of purely quantum nature.
Cite
@article{arxiv.1612.03444,
title = {Quantum bifurcation diagrams},
author = {M. Ivanchenko and E. Kozinov and V. Volokitin and A. Liniov and I. Meyerov and S. Denisov},
journal= {arXiv preprint arXiv:1612.03444},
year = {2017}
}
Comments
6 pages, 4 figures