6533b7d2fe1ef96bd125eb30
RESEARCH PRODUCT
Discrete-Gauss states and the generation of focussing dark beams
Albert Ferrandosubject
PhysicsAngular momentumQuantum PhysicsOperator (physics)GaussianGaussRotational symmetryFOS: Physical sciencesMathematical Physics (math-ph)Atomic and Molecular Physics and OpticsConnection (mathematics)symbols.namesakeClassical mechanicsOptical tweezersQuantum mechanicssymbolsQuantum Physics (quant-ph)Beam (structure)Mathematical PhysicsPhysics - OpticsOptics (physics.optics)description
Discrete-Gauss states are a new class of gaussian solutions of the free Schr\"odinger equation owning discrete rotational symmetry. They are obtained by acting with a discrete deformation operator onto Laguerre-Gauss modes. We present a general analytical construction of these states and show the necessary and sufficient condition for them to host embedded dark beams structures. We unveil the intimate connection between discrete rotational symmetry, orbital angular momentum, and the generation of focussing dark beams. The distinguishing features of focussing dark beams are discussed. The potential applications of Discrete-Gauss states in advanced optical trapping and quantum information processing are also briefly discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-03-11 |