Quantum tomography of arbitrary spin states of particles: root approach

2006 ◽  
Author(s):  
Yu. I. Bogdanov
Keyword(s):  
Quantum Tomography ◽  
Arbitrary Spin ◽  
Spin States

Arbitrary spin-to–orbital angular momentum conversion of light

Science ◽  
2017 ◽  
Vol 358 (6365) ◽  
pp. 896-901 ◽  
Author(s):  
Robert C. Devlin ◽  
Antonio Ambrosio ◽  
Noah A. Rubin ◽  
J. P. Balthasar Mueller ◽  
Federico Capasso
Keyword(s):  
Angular Momentum ◽  
Orbital Angular Momentum ◽  
Optical Communication ◽  
Arbitrary Spin ◽  
Spin States ◽  
Spin Angular Momentum ◽  
Optical Elements ◽  
Left And Right ◽  
General Material ◽  
Elliptically Polarized

Optical elements that convert the spin angular momentum (SAM) of light into vortex beams have found applications in classical and quantum optics. These elements—SAM-to–orbital angular momentum (OAM) converters—are based on the geometric phase and only permit the conversion of left- and right-circular polarizations (spin states) into states with opposite OAM. We present a method for converting arbitrary SAM states into total angular momentum states characterized by a superposition of independent OAM. We designed a metasurface that converts left- and right-circular polarizations into states with independent values of OAM and designed another device that performs this operation for elliptically polarized states. These results illustrate a general material-mediated connection between SAM and OAM of light and may find applications in producing complex structured light and in optical communication.

scholarly journals A Haptic Model for the Quantum Phase of Fermions and Bosons in Hilbert Space Based on Knot Theory

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 426 ◽  
Author(s):  
Stefan Heusler ◽  
Malte Ubben
Keyword(s):  
Hilbert Space ◽  
Braid Group ◽  
Knot Theory ◽  
Arbitrary Spin ◽  
Paper Strip ◽  
Spin States ◽  
Quantum Phases ◽  
Before And After ◽  
Jones Polynomials ◽  
Knots And Links

A generalization of the famous Dirac belt trick opens up the way to a haptic model for quantum phases of fermions and bosons in Hilbert space based on knot theory. We introduce a simple paper strip model as an aid for visualization of the quantum phases before and after Hopf-mapping, which can be extended to arbitrary spin states with almost no mathematical formalism. Knot theory arises naturally, leading to the Jones polynomials derived from Artin’s braid group for fermionic knots and for bosonic links. The paper strip model explicitly illuminates the relation between these knots and links within the S U ( 2 ) -representation of spin-jstates in C 2 j + 1 before Hopf-mapping and the number p = 2 j of nodes in the stellar representation in C P 1 after Hopf mapping.

Extension of the Popov-Fedotov method to arbitrary spin

1994 ◽  
Vol 4 (4) ◽  
pp. 493-497 ◽  
Author(s):  
O. Veits ◽  
R. Oppermann ◽  
M. Binderberger ◽  
J. Stein
Keyword(s):  
Arbitrary Spin

DESCRIPTION OF HIGH SPIN STATES

1980 ◽  
Vol 41 (C10) ◽  
pp. C10-143-C10-154 ◽  
Author(s):  
A. Faessler
Keyword(s):  
High Spin ◽  
Spin States ◽  
High Spin States

Superintegrable Systems with Arbitrary Spin

2013 ◽  
Vol 58 (11) ◽  
pp. 1046-1054 ◽  
Author(s):  
A.G. Nikitin ◽  
Keyword(s):  
Arbitrary Spin ◽  
Superintegrable Systems
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