Matter X waves
arXiv:physics/0308051 · doi:10.1103/PhysRevLett.92.120404
Abstract
We predict that an ultra-cold Bose gas in an optical lattice can give rise to a new form of condensation, namely matter X waves. These are non-spreading 3D wave-packets which reflect the symmetry of the Laplacian with a negative effective mass along the lattice direction, and are allowed to exist in the absence of any trapping potential even in the limit of non-interacting atoms. This result has also strong implications for optical propagation in periodic structures
5 pages, 2 figures
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- Enhanced Flow in Small-World Networks
- On the generation and the nonlinear dynamics of X-waves of the Schroedinger equation
- Quantum electromagnetic X-waves
- Taming of Modulation Instability by Spatio-Temporal Modulation of the Potential
- Hyperbolic Transverse Patterns in Nonlinear Optical Resonators
- Superluminal X-waves in a polariton quantum fluid
- Couplings between the temporal and orbital angular momentum degrees of freedom in ultrafast vortices with propagation-invariant temporal shape
- Goos-Hänchen and Imbert-Fedorov shifts for paraxial X-Waves
- Nonspreading Light Pulses in Photonic Crystals
- X,Y,Z-Waves: Extended Structures in Nonlinear Lattices
- Cylindrically Polarized Nondiffracting Optical Pulses
- Localized waves carrying orbital angular momentum in optical fibers
- Exciton-polariton X-waves in a microcavity
- Quantum X Waves with Orbital Angular Momentum in Nonlinear Dispersive Media
- Soliton-like solutions to the ordinary Schroedinger equation
- Formation of nonlinear X-waves in condensed matter systems
- Tunneling mediated by conical waves in a 1D lattice
- Generation of entangled 3D localized quantum wave-packets via optical parametric amplification
- Anisotropic Subdiffractive Solitons