Questions tagged [berry-pancharatnam-phase]

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15
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1answer
902 views

Fermi statistics and Berry phase

When the positions of two fermions are exchanged adiabatically in three-dimensional space, we know that the wave function gains a factor of $-1$. Is this related to Berry's phase?
1
vote
0answers
389 views

Nonablianity of Wilczek Zee Potential

Consider a hamiltonian with degeneracies of energy in parameter space $(R)$.Now the Geometric phase(Wilczek Zee Potential) will acquire a non abelian nature. To prove the non abelian nature of Wilczek ...
5
votes
1answer
488 views

Why the Hamiltonian near degeneracies should be proportional to Pauli matrices?

When a quantum system have a double degenerescence at one point, the Hamiltonian should be proportional to Pauli matrices near this point (also known as diabolic point) [Ref.]. But, why the ...
2
votes
2answers
479 views

How can I infer the topology of a quantum state (or band) from its Chern number?

Whereas I can calculate the Chern number of a quantum state (or band) from the integration of the Berry curvature in all space. How can I infer the topology of the quantum state from this result? ...
2
votes
2answers
465 views

Is there a relationship between Berry-Pancharatnam phase and CP violation in quark mixing?

Berry-Pancharatnam phase is the phase that quantum systems exhibit when they pass through a sequence of states and return to their original state. It's a complex phase and it is different from the ...
3
votes
2answers
491 views

What is the quantum / Berry-Pancharatnam phase for a spin-j state with z-component m?

Quantum phase arises when a spin-j state is sent through a sequence of transitions that return it to its original position. For example with spin$-1/2$, a state picks up a complex phase of $\pi/4$ ...

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