Decoherence means that the different components in the superposition do not interact with each other, but it does not mean that the components separate to form different macroscopic realities.
Just like when a 100-soldier army’s marching gets interrupted, the decoherent soldiers do not form a single army anymore, because their actions become out of sync.
However, they do not become 100 armies either.
Instead, they form a group of 100 random people in the street.
Although now they are out of sync with each other, all original soldiers still exist, forming the (new) average result; all or most of them have become part of the environment.
But it is an analogy only. It has an important distinction.
In quantum superposition, we discuss the relationships between different component states of the superposition. Those states exist not in physical space, but in a mathematical space.
In the army analogy, we discuss the relationships between the actions between different material items (solders in this case). Those material items exist in physical space.
The unselected eigenstates do not cooperate with other particles to form macroscopic realities.
Although the spirit of the statement is correct, the statement itself is incorrect in multiple senses.
First, an eigenstate is a quantum state. It interferes with other eigenstates, not other particles.
Second, although the “unselected” eigenstates seem to disappear, they actually still exist; they entangles with the environment, which includes the apparatus and measurement devices of that experiment.
— Me@2020-02-26 06:49:46 AM
In “decoherence means that the different components do not interact with each other”, the meaning of “interact” is not defined yet.
The word should probably be “interfere”, instead of “interact”.
— Me@2020-02-25 10:44:23 PM
interference ~ superposition with pattern
Decoherence means that the phase differences between different components in a superposition are not constants anymore. It does not mean that there is no superposition anymore.
Superposition is always there.
What disappears is the interference pattern, not the superposition.
— Me@2019-09-20 06:48:55 AM
2020.02.26 Wednesday (c) All rights reserved by ACHK