Bose-Fermi mixtures in two optical lattices. (English) Zbl 1193.35209

Mladenov, Ivaïlo M. (ed.), Proceedings of the 9th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 8–13, 2007. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-42-4/pbk). 224-240 (2008).
Summary: We present stationary and travelling wave solutions for equations describing Bose-Fermi mixtures in an external potentials which are elliptic functions of modulus \(k\). There are indications that such waves and localized objects may be observed in experiments with cold quantum degenerate gases.
For the entire collection see [Zbl 1154.17001].


35Q55 NLS equations (nonlinear Schrödinger equations)
35C07 Traveling wave solutions
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
81V80 Quantum optics
35C08 Soliton solutions