Tunable birefringence and elliptical polarization eigenmodes in a biplate of two quarter-wave plates DOI
Jhon Pabón, Cristian Hernandez-Cely, Rafael Torres

et al.

Journal of the Optical Society of America A, Journal Year: 2023, Volume and Issue: 40(10), P. 1959 - 1959

Published: Sept. 14, 2023

Birefringence of elliptical polarization eigenmodes can be conceptualized as a composite system comprising two distinct media: one with linear and the other circular eigenmodes. However, practical realization such often involves combination birefringent quarter-wave plates (QWPs). In this study, our objective is to characterize variable retardation exhibited by biplate consisting plates. Additionally, we aim analyze geometric properties transformation state on Poincaré sphere, employing emerging state’s curve. This curve corresponds intersection between sphere cone. The outcomes study are presented function angle fast axes QWPs. findings have potential contribute configuration q-plates facilitate development quantum communication protocols.

Language: Английский

Quantum field theory for coherent photons: isomorphism between Stokes parameters and spin expectation values DOI Creative Commons
Shinichi Saito

Frontiers in Physics, Journal Year: 2024, Volume and Issue: 11

Published: Feb. 13, 2024

Stokes parameters ( S ) on the Poincaré sphere are very useful values to describe polarisation state of photons. However, fundamental principle nature is not completely understood, yet, because we have no concrete consensus how spin photons, quantum-mechanically. Here, considered a monochromatic coherent ray described by many-body state, and established basis in connection with classical description based parameters. We show that spinor equivalent Jones vector for states, obtain operators (Ŝ) all components rotators an SU(2) group theory. Polarisation controllers such as phase-shifters also obtained quantum-mechanical field change phase wavefunction states. average operators, id="m2">S=⟨⟩ .

Language: Английский

Citations

5
Active SU(2) operation on Poincaré sphere DOI Creative Commons
Shinichi Saito

Results in Physics, Journal Year: 2024, Volume and Issue: 59, P. 107567 - 107567

Published: March 12, 2024

Language: Английский

Citations

4
Topological polarisation states DOI Creative Commons
Shinichi Saito

Frontiers in Physics, Journal Year: 2023, Volume and Issue: 11

Published: Sept. 8, 2023

Polarisation states are described by spin expectation values, known as Stokes parameters, the trajectories of which in a rotationally symmetric system form sphere named after Poincaré. Here, we show that broken rotational systems can exhibit distinct topological structures polarisation states. We use phase-shifter to circle (S1) , interferes with original input due phase change output state upon rotation. By rotating using rotator, become torus id="m2">S1×

Language: Английский

Citations

8
Photonic quantum chromodynamics DOI Creative Commons
Shinichi Saito

Frontiers in Physics, Journal Year: 2023, Volume and Issue: 11

Published: Sept. 4, 2023

Twisted photons with finite orbital angular momentum have a distinct mode profile topological charge at the center of while propagating in certain direction. Each different charges m is orthogonal, sense that overlap integral vanishes among modes values . Here, we theoretically consider superposition state three left and right vortices Gaussian without vortex. These states are considered to be assigned quantum states; thus, employed su(3) Lie algebra associated SU(3) group classify photonic states. We calculated expectation eight generators id="m2">

Language: Английский

Citations

6
Dirac equation for photons in a fibre: Origin of polarisation DOI Creative Commons
Shinichi Saito

Heliyon, Journal Year: 2024, Volume and Issue: 10(7), P. e28367 - e28367

Published: March 22, 2024

Language: Английский

Citations

2
Nested SU(2) symmetry of photonic orbital angular momentum DOI Creative Commons
Shinichi Saito

Frontiers in Physics, Journal Year: 2023, Volume and Issue: 11

Published: Oct. 19, 2023

The polarization state is described by a quantum mechanical two-level system, which known as special unitary group of degree 2 [SU(2)]. Polarization attributed to an internal spin freedom inherent photons, while photons also possess orbital freedom. A fundamental understanding the nature and angular momentum significant utilize degrees for various applications in optical communications, computations, sensing, laser-patterning. Here, we show that coherent emitted from laser diode can be incremented using vortex lens, magnitude increases with increase topological charge inside mode. superposition left right vortices SU(2) state, similar polarization; however, radius corresponding Poincaré sphere depends on charge. Consequently, expect nested structure describe states different magnitudes momentum. We have experimentally developed simple system realize arbitrary controlling both amplitudes phases freedom, whose interplays were confirmed expected far-field images dipoles quadruples.

Language: Английский

Citations

3
Spin textures of coherent photons with SU(4) symmetry DOI Creative Commons
Shinichi Saito

Results in Physics, Journal Year: 2024, Volume and Issue: 61, P. 107745 - 107745

Published: May 9, 2024

We show coherent photons with spin and orbital angular momentum have symmetry of special unitary group degree four, SU(4), both theoretically experimentally. the polarisation could be a measure to characterise quantum coherency state, which was significantly affected by partial trace out freedom. By changing amplitudes classically entangled we observed crossover from Heisenberg classical Ising spin. also demonstrated projections states, recover while SU(4) state is projected simple product SU(2)×SU(2). Based on developed platform, explored texture photons, found unique profile reminiscent Bengal cat upon wrapping three-dimensional sphere. controlled phase between singlet triplet states rotated increasing phase.

Language: Английский

Citations

0
SU(N) symmetry of coherent photons controlled by rotated waveplates DOI Creative Commons
Shinichi Saito

Heliyon, Journal Year: 2024, Volume and Issue: 10(14), P. e34423 - e34423

Published: July 1, 2024

The coherent state from a laser source has spin and orbital degrees of freedom, which allow an arbitrary superposition among orthogonal states with varying amplitudes phases. Here, we theoretically show photons SU(N) symmetry are characterised by expectation values angular momentum shown on hypersphere in SO(N2−1) space. To demonstrate expected unitary transformations experiments, have constructed generators the Lie group simply combining widely available optical components such as waveplates vortex lenses. We between twisted Gaussian is dynamics topological charge upon transformation SU(3) states. also realised photonic singlet triplet corresponding to SU(4) states, were projected SU(2)×SU(2) passing through rotated polariser.

Language: Английский

Citations

0
Tunable birefringence and elliptical polarization eigenmodes in a biplate of two quarter-wave plates DOI
Jhon Pabón, Cristian Hernandez-Cely, Rafael Torres

et al.

Journal of the Optical Society of America A, Journal Year: 2023, Volume and Issue: 40(10), P. 1959 - 1959

Published: Sept. 14, 2023

Birefringence of elliptical polarization eigenmodes can be conceptualized as a composite system comprising two distinct media: one with linear and the other circular eigenmodes. However, practical realization such often involves combination birefringent quarter-wave plates (QWPs). In this study, our objective is to characterize variable retardation exhibited by biplate consisting plates. Additionally, we aim analyze geometric properties transformation state on Poincaré sphere, employing emerging state’s curve. This curve corresponds intersection between sphere cone. The outcomes study are presented function angle fast axes QWPs. findings have potential contribute configuration q-plates facilitate development quantum communication protocols.

Language: Английский

Citations

0