Three-Dimensional Nonlinear Lattices: From Oblique Vortices and Octupoles to Discrete Diamonds and Vortex Cubes

Journal Article · Fri May 27 04:00:00 EDT 2005 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.94.203901· OSTI ID:20696310

Carretero-Gonzalez, R ^[1]; Kevrekidis, P G ^[2]; Malomed, B A ^[3]; Frantzeskakis, D J ^[4]

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1. Nonlinear Dynamical Systems Group, Department of Mathematics and Statistics, San Diego State University, San Diego California 92182-7720 (United States)
2. Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515 (United States)
3. Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978 (Israel)
4. Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784 (Greece)

We construct a variety of novel localized topological structures in the 3D discrete nonlinear Schroedinger equation. The states can be created in Bose-Einstein condensates trapped in strong optical lattices and crystals built of microresonators. These new structures, most of which have no counterparts in lower dimensions, range from multipole patterns and diagonal vortices to vortex 'cubes' (stack of two quasiplanar vortices) and 'diamonds' (formed by two orthogonal vortices)

• OSTI ID: 20696310
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 20 Vol. 94; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
CRYSTALS
DIAMONDS
NONLINEAR PROBLEMS
OCTUPOLES
SCHROEDINGER EQUATION
SOLITONS
THREE-DIMENSIONAL CALCULATIONS
TOPOLOGY
TRAPPING
VORTICES