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Results tagged with berry-pancharatnam-phase
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user 130740
The phase difference acquired over the course of a closed loop which results from the geometrical properties of the parameter space of the Hamiltonian.
1
vote
Berry's phase for non-normalized wave functions
The Berry phase for non-normalized states makes perfect sense, however you do not gain any additional information from using a non-normalized state. To put simply, when you consider non-normalized sta …
- 446
2
votes
Accepted
In fiber bundle picture of Berry connection, what is the vertical basis if the horizontal ba...
The $\theta$ variable is simply a representation of the ignorance that you have on determining a wave-function because what actually is physically observable is the state (or rather expectation values …
- 446
10
votes
Derivation of expression for Berry curvature
I will write my response as detailed as possible.
We can write the Hamiltonian explicitly as,
\begin{align*}
H(k)=\vec{h}(k)\cdot\vec{\sigma}=\left(\begin{array}{cc}
h_z(k) & h_x(k)-ih_y(k)\\
h_x(k)+ …
- 446