B Spin And Angular Momentum of Large Objects

Hornbein
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TL;DR Summary
Can quantum spin transfer angular momentum from one large object to another.
I read that quantum spin is the measure of the angular momentum of a quantum object. Suppose you have a rotating Thing 1. Quantum objects bounce off of it then collide with Thing 2. Will this transfer angular momentum from Thing 1 to 2, causing it to rotate?
 
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Yes. Unless the collisions are exactly central :smile:

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Hornbein said:
TL;DR Summary: Can quantum spin transfer angular momentum from one large object to another.

I read that quantum spin is the measure of the angular momentum of a quantum object. Suppose you have a rotating Thing 1. Quantum objects bounce off of it then collide with Thing 2. Will this transfer angular momentum from Thing 1 to 2, causing it to rotate?

This may not be directly relevant. I was considering starting another thread about quantum effects of fast spinning nanoscale objects. Scientists broke the record at 300 billion rpm in 2019.

Ultrasensitive torque detection with an optically levitated nanorotor

https://arxiv.org/pdf/1908.03453

Rotational decoherence of microscale particles may be effectively described by a Markovian quantum master equation of Lindblad form [74, 75]. The ensuing jump operators can be related to the microscopic scattering amplitudes for individual collisions between the particle and environmental agents. The rotational motion of nano- to microscale particles is typically much slower than the collisions, so that the environment mainly gains information about the rotor orientation, rather than its angular momentum. The master equation thus describes predominantly how orientational superpositions decay on a timescale determined by the rotor-environment interaction [76, 77] and bounded by the scattering rate, see below.

...

Fundamental tests— The verification of rotational quantum superpositions would also serve to test mod- els of an objective wavefunction collapse. Such theories modify quantum mechanics with the aim of recovering macro-realism without contradicting experimental obser- vations. A prominent example is Continuous Sponta- neous Localization [97], predicting a universal spatial and orientational decoherence and heating mechanism [98]. Observing quantum interference or the lack of collapse- induced heating rules out combinations of the parameters characterising the model [98, 99]. The shape-dependent centre-of-mass and rotational heating rates can be mea- sured with a single trapped particle, facilitating absolute measurements of the collapse parameters.

Quantum rotations of nanoparticles

https://arxiv.org/pdf/2102.00992

Following the citations, there seems to be some interesting experimental work ongoing aimed at trying to put larger and larger objects into quantum superposition: nanoscale, microscale, mesoscale, ... .

I don't know how to ask the right questions, but seems possibly relevant to some recent discussions people have been having about the quantum classical divide and the measurement problem.
 
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Thread 'Lesser Green's function'
The lesser Green's function is defined as: $$G^{<}(t,t')=i\langle C_{\nu}^{\dagger}(t')C_{\nu}(t)\rangle=i\bra{n}C_{\nu}^{\dagger}(t')C_{\nu}(t)\ket{n}$$ where ##\ket{n}## is the many particle ground state. $$G^{<}(t,t')=i\bra{n}e^{iHt'}C_{\nu}^{\dagger}(0)e^{-iHt'}e^{iHt}C_{\nu}(0)e^{-iHt}\ket{n}$$ First consider the case t <t' Define, $$\ket{\alpha}=e^{-iH(t'-t)}C_{\nu}(0)e^{-iHt}\ket{n}$$ $$\ket{\beta}=C_{\nu}(0)e^{-iHt'}\ket{n}$$ $$G^{<}(t,t')=i\bra{\beta}\ket{\alpha}$$ ##\ket{\alpha}##...
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