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 (5)
| Label | Occurrences |
|---|---|
| Berry phase canonical | 3 |
| Wilczek–Zee phase | 2 |
| Abelian Berry connection | 1 |
| Abelian Berry phase | 1 |
| “Quantal phase factors accompanying adiabatic changes” | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T11205499 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Berry phase Context triple: [Yang monopole, relatedTo, Berry phase]
-
A.
Aharonov–Bohm effect
The Aharonov–Bohm effect is a quantum mechanical phenomenon in which charged particles are influenced by electromagnetic potentials in regions where the classical electromagnetic fields are zero, revealing the physical significance of potentials in quantum theory.
-
B.
Aharonov–Casher effect
The Aharonov–Casher effect is a quantum mechanical phenomenon in which a neutral particle with a magnetic moment acquires a measurable phase shift when moving around a line of electric charge, illustrating the significance of electromagnetic potentials.
-
C.
Condon–Shortley phase
The Condon–Shortley phase is a sign convention introduced in quantum mechanics to standardize the definition of spherical harmonics and angular momentum coupling coefficients.
-
D.
Parisi–Sourlas mechanism
The Parisi–Sourlas mechanism is a theoretical physics concept showing how certain stochastic systems in higher dimensions can be mapped to supersymmetric field theories in lower dimensions, revealing hidden supersymmetry and dimensional reduction.
-
E.
Peierls substitution
Peierls substitution is a quantum mechanical method for incorporating the effects of an external electromagnetic field into the momentum of charged particles in lattice or solid-state systems.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Berry phase Target entity description: 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.
-
A.
Aharonov–Bohm effect
The Aharonov–Bohm effect is a quantum mechanical phenomenon in which charged particles are influenced by electromagnetic potentials in regions where the classical electromagnetic fields are zero, revealing the physical significance of potentials in quantum theory.
-
B.
Aharonov–Casher effect
The Aharonov–Casher effect is a quantum mechanical phenomenon in which a neutral particle with a magnetic moment acquires a measurable phase shift when moving around a line of electric charge, illustrating the significance of electromagnetic potentials.
-
C.
Condon–Shortley phase
The Condon–Shortley phase is a sign convention introduced in quantum mechanics to standardize the definition of spherical harmonics and angular momentum coupling coefficients.
-
D.
Parisi–Sourlas mechanism
The Parisi–Sourlas mechanism is a theoretical physics concept showing how certain stochastic systems in higher dimensions can be mapped to supersymmetric field theories in lower dimensions, revealing hidden supersymmetry and dimensional reduction.
-
E.
Peierls substitution
Peierls substitution is a quantum mechanical method for incorporating the effects of an external electromagnetic field into the momentum of charged particles in lattice or solid-state systems.
- F. None of above. chosen
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
ⓘ
linked to:
Landau–Zener formula
gauge structures in quantum mechanics ⓘ parallel transport in Hilbert space ⓘ |
| canBe |
Abelian
ⓘ
non-Abelian ⓘ |
| category |
Mathematical physics
ⓘ
Quantum mechanics ⓘ
linked to:
quantum mechanics
|
| dependsOn | path in parameter space ⓘ |
| describedIn |
“Quantal phase factors accompanying adiabatic changes”
ⓘ
linked to:
Berry phase
|
| distinguishedFrom | dynamical phase ⓘ |
| emergesFrom |
parameter space geometry
ⓘ
parameter space topology ⓘ |
| hasComponent | geometric contribution to total phase ⓘ |
| independentOf | dynamical phase ⓘ |
| introducedBy | Michael Berry ⓘ |
| introducedInYear | 1984 ⓘ |
| invariantUnder | reparameterization of evolution path ⓘ |
| mathematicallyDescribedBy |
line integral of Berry connection
ⓘ
surface integral of Berry curvature ⓘ |
| measuredIn | interference experiments ⓘ |
| namedAfter | Michael Berry ⓘ |
| publishedIn |
Proceedings of the Royal Society A
ⓘ
linked to:
Proceedings of the Royal Society
|
| relatedTo |
Aharonov–Bohm effect
ⓘ
Berry curvature ⓘ Chern number ⓘ Pancharatnam phase ⓘ Wilczek–Zee phase ⓘ
linked to:
Berry phase
fiber bundles ⓘ holonomy ⓘ topological invariants ⓘ |
| requires |
adiabatic evolution
ⓘ
cyclic evolution ⓘ |
| usedIn |
adiabatic quantum computation
ⓘ
holonomic quantum computation ⓘ molecular physics ⓘ quantum Hall effect ⓘ quantum computation ⓘ solid-state physics ⓘ topological insulators ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Berry phase Description of subject: 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.
Referenced by (8)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Berry phase
linked to: Berry phase
linked to: Berry phase
linked to: Berry phase
linked to: Berry phase