Quantum field theory for coherent photons: isomorphism between Stokes parameters and spin expectation values
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
Active SU(2) operation on Poincaré sphere
Results in Physics,
Journal Year:
2024,
Volume and Issue:
59, P. 107567 - 107567
Published: March 12, 2024
Language: Английский
Topological polarisation states
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
Photonic quantum chromodynamics
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
Dirac equation for photons in a fibre: Origin of polarisation
Heliyon,
Journal Year:
2024,
Volume and Issue:
10(7), P. e28367 - e28367
Published: March 22, 2024
Language: Английский
Nested SU(2) symmetry of photonic orbital angular momentum
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
Spin textures of coherent photons with SU(4) symmetry
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
SU(N) symmetry of coherent photons controlled by rotated waveplates
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
Tunable birefringence and elliptical polarization eigenmodes in a biplate of two quarter-wave plates
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