Dear frnds,
From my point of view SSB is happening due to following reasons in double quantum wells.
1. Due to variational technique
2. symmetry in envelop function and inherent asymmetry impurity wave function
3. self-consistent calculation of Coulomb interaction.
Kindly give reasons beyond this.
From examples of double wells arising say in Chemistry,
as well as the simplest matrix calculations that can be made
in the quantum, the answer is relatively simple, that there are two energy levels that emerge, the bonding and antibonding.
I dont see any symmetry breaking in this refered to left-right with symmetric or anti symmetric wave function respectively.
The probabiity of stay in each well is equal, for a balanced double well.
Only clasically you have symmetry breaking as a particle could be in one or the other well.
Your question is actually what breaks this symmetry.
You can think of a lot of things, impurities yes, near covalant bonds in chemistry, asymmetry in the wells and so on.
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