Berry phase
E911209
The Berry phase is a geometric phase acquired by a quantum system’s wavefunction after undergoing a cyclic, adiabatic evolution in parameter space, reflecting the system’s underlying topology.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Berry phase canonical | 1 |
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
geometric phase
ⓘ
phase factor ⓘ quantum mechanical concept ⓘ |
| affects |
electron dynamics in crystals
ⓘ
energy level splitting in molecules ⓘ quantum interference patterns ⓘ |
| alsoKnownAs | geometric phase ⓘ |
| appliesTo | quantum systems ⓘ |
| arisesWhen | Hamiltonian depends on slowly varying parameters ⓘ |
| associatedWith |
adiabatic theorem
NERFINISHED
ⓘ
gauge structures in quantum mechanics ⓘ parallel transport in Hilbert space ⓘ |
| canBe |
Abelian
ⓘ
non-Abelian ⓘ |
| category |
Mathematical physics
ⓘ
Quantum mechanics NERFINISHED ⓘ |
| dependsOn | path in parameter space ⓘ |
| describedIn | “Quantal phase factors accompanying adiabatic changes” NERFINISHED ⓘ |
| distinguishedFrom | dynamical phase ⓘ |
| emergesFrom |
parameter space geometry
ⓘ
parameter space topology ⓘ |
| hasComponent | geometric contribution to total phase ⓘ |
| independentOf | dynamical phase ⓘ |
| introducedBy | Michael Berry NERFINISHED ⓘ |
| introducedInYear | 1984 ⓘ |
| invariantUnder | reparameterization of evolution path ⓘ |
| mathematicallyDescribedBy |
line integral of Berry connection
ⓘ
surface integral of Berry curvature ⓘ |
| measuredIn | interference experiments ⓘ |
| namedAfter | Michael Berry NERFINISHED ⓘ |
| publishedIn | Proceedings of the Royal Society A NERFINISHED ⓘ |
| relatedTo |
Aharonov–Bohm effect
NERFINISHED
ⓘ
Berry curvature NERFINISHED ⓘ Chern number ⓘ Pancharatnam phase NERFINISHED ⓘ Wilczek–Zee phase NERFINISHED ⓘ fiber bundles ⓘ holonomy ⓘ topological invariants ⓘ |
| requires |
adiabatic evolution
ⓘ
cyclic evolution ⓘ |
| usedIn |
adiabatic quantum computation
ⓘ
holonomic quantum computation NERFINISHED ⓘ molecular physics ⓘ quantum Hall effect NERFINISHED ⓘ quantum computation ⓘ solid-state physics ⓘ topological insulators ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.