Light carries momentum which is an intrinsic property or ability to move something at least how I interpret it, I got no issue on how it is able to conserve momentum when it is absorbed by another particle say electron. Problem comes when photon starts to spin, is this angular momentum also an intrinsic property like a quantum number or can we control it somehow like using special polarised filter? What is rotating the changing electric field and magnetic field or is it just a quantum state?
The classical (i.e., non-quantized) electromagnetic field can carry angular momentum as well as linear momentum and energy. Therefore the angular momentum of light can be understood classically without having to understand the spin of photons.
The Wikipedia article “Angular momentum of light” discusses the classical approach. One way that angular momentum can be arise is when the electric and magnetic fields in a wave rotate around the direction of propagation (i.e., “circular polarization”).
Of course, the quantized electromagnetic field is a better description of nature than the classical electromagnetic field, so eventually understanding photon spin is a necessity.
In General Relativity the gravitational field can carry energy, momentum, and angular momentum, and this can be understood without discussing gravitons as spin-2 particles.
Why light have angular momentum?
When studying elementary particle interactions in experiments it became necessary for all particles discovered to have an intrinsic angular momentum, otherwise the interactions would violate momentum conservation a very strong conservation law together with energy and momentum conservation. They were assigned that missing angular momentum as spin and angular momentum conservation in particle interactions is still a law (i.e. as strong as an axiom in mathematics).
Problem comes when photon starts to spin, is this angular momentum also an intrinsic property like a quantum number
It is not spinning, it is an intrinsic property of the photon, which is defined as a zero mass point particle with spin 1 in the standard model of particle physics ,the table was defined by measurements.
or can we control it somehow like using special polarized filter?
Yes , there can be control, as the photon interacts, its spin has a role in the interaction. There is also a superposition:
Photons as quantum entities have wavefunctions which in an ensemble of photons superpose, ( an addition of wavefunctions), and that is how the classical light emerges. This experiment with single photons at a time helps in getting an intuition on the superposition of photons.
A useful graphic is how classical circular polarization of light is built up by a superposition of photons with a corresponding difference in the spin projection (+1 or -1 in the direction of motion of the photon)
What is rotating the changing electric field and magnetic field or is it just a quantum state?
It is just a quantum state whose wavefunction is a solution of a quantized Maxwell equation, which contains the E and B fields so appears in the complex conjugate square of the wavefunction. The probability distributions are affected by the E an B fields
Photons have an intrinsic spin and additional could spinning.
What is the difference? Simply a photon has a magnetic dipole field component and an electric field component. Taking a snapshot, maybe one see the electric field directed to the top and the magnetic field to the left. Taking a snapshot from another photon (seen in the same direction of movements) one could observe the electric field to the top again, but the magnetic field to right. In addition to the frequency (wavelength, energy content, ..., which are all expressions of the same entity), the relation of these two field components is the only distinguishing feature for photons. This relation is called the intrinsic spin.
If a subatomic particle rotates and emits this time a photon, the photon gets a momentum from the particle and the two field components are rotating. Such a photon has an angular momentum. Get absorbed, this angular momentum over goes to the receiving particle.
As G. Smith wrote:
One way that angular momentum can be arise is when the electric and magnetic fields in a wave rotate around the direction of propagation (i.e., “circular polarization”).