Glauber coherent states
E572775
Glauber coherent states are quantum states of the electromagnetic field that most closely resemble classical light waves and form the foundation of quantum optics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Glauber coherent states canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T6155362 — 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: Glauber coherent states Context triple: [Roy Glauber, notableWork, Glauber coherent states]
-
A.
Glauber–Sudarshan P function
The Glauber–Sudarshan P function is a quasi-probability distribution in quantum optics that represents quantum states in terms of coherent states, often revealing nonclassical properties through its singular or non-positive behavior.
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B.
Gross–Pitaevskii equation
The Gross–Pitaevskii equation is a nonlinear Schrödinger-type equation that describes the macroscopic wavefunction and dynamics of weakly interacting Bose gases at ultra-cold temperatures.
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C.
Oka coherence theorem
The Oka coherence theorem is a fundamental result in complex analytic geometry stating that the sheaf of germs of holomorphic functions on a complex manifold is coherent, providing a powerful bridge between analytic and algebraic methods.
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D.
"Relative State" Formulation of Quantum Mechanics
The "Relative State" Formulation of Quantum Mechanics is Hugh Everett III’s many-worlds interpretation, proposing that all possible outcomes of quantum measurements actually occur in a vast, branching multiverse without wavefunction collapse.
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E.
Infeld–van der Waerden formalism
The Infeld–van der Waerden formalism is a mathematical framework in general relativity that reformulates the theory using spinor calculus to describe gravitational and electromagnetic fields.
- 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: Glauber coherent states Target entity description: Glauber coherent states are quantum states of the electromagnetic field that most closely resemble classical light waves and form the foundation of quantum optics.
-
A.
Glauber–Sudarshan P function
The Glauber–Sudarshan P function is a quasi-probability distribution in quantum optics that represents quantum states in terms of coherent states, often revealing nonclassical properties through its singular or non-positive behavior.
-
B.
Gross–Pitaevskii equation
The Gross–Pitaevskii equation is a nonlinear Schrödinger-type equation that describes the macroscopic wavefunction and dynamics of weakly interacting Bose gases at ultra-cold temperatures.
-
C.
Oka coherence theorem
The Oka coherence theorem is a fundamental result in complex analytic geometry stating that the sheaf of germs of holomorphic functions on a complex manifold is coherent, providing a powerful bridge between analytic and algebraic methods.
-
D.
"Relative State" Formulation of Quantum Mechanics
The "Relative State" Formulation of Quantum Mechanics is Hugh Everett III’s many-worlds interpretation, proposing that all possible outcomes of quantum measurements actually occur in a vast, branching multiverse without wavefunction collapse.
-
E.
Infeld–van der Waerden formalism
The Infeld–van der Waerden formalism is a mathematical framework in general relativity that reformulates the theory using spinor calculus to describe gravitational and electromagnetic fields.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
bosonic coherent state
ⓘ
coherent state ⓘ quantum state ⓘ |
| appliesTo | electromagnetic field ⓘ |
| associatedWith |
classical-like correlation functions
ⓘ
normal ordering of field operators ⓘ |
| basisProperty | overcomplete set in Hilbert space ⓘ |
| constructedBy | displacement operator acting on the vacuum ⓘ |
| contrastWith |
Fock states
ⓘ
squeezed states ⓘ thermal states ⓘ |
| describedAs | quantum states that most closely resemble classical light waves ⓘ |
| displacementOperator | D(α) = exp(α a† − α* a) ⓘ |
| eigenvalueEquation | a|α⟩ = α|α⟩ ⓘ |
| expansionInFockBasis | |α⟩ = e^{−|α|²/2} Σ_{n=0}^∞ α^n/√(n!) |n⟩ ⓘ |
| fieldOfStudy |
quantum electrodynamics
ⓘ
quantum optics ⓘ |
| innerProduct | ⟨α|β⟩ = exp(−(|α|²+|β|²)/2 + α*β) ⓘ |
| interpretation | displaced vacuum in phase space ⓘ |
| introducedBy |
Roy J. Glauber
ⓘ
linked to:
Roy Glauber
|
| mathematicalRepresentation | eigenstates of the annihilation operator a ⓘ |
| meanPhotonNumber | ⟨n⟩ = |α|² ⓘ |
| minimize | Heisenberg uncertainty relation for field quadratures ⓘ |
| namedAfter |
Roy J. Glauber
ⓘ
linked to:
Roy Glauber
|
| nonOrthogonality | ⟨α|β⟩ ≠ 0 for α ≠ β ⓘ |
| parameterizedBy | complex amplitude α ⓘ |
| phaseSpaceRepresentation | Gaussian Wigner function centered at (Re α, Im α) ⓘ |
| photonCorrelationProperty | second-order correlation g²(0) = 1 ⓘ |
| photonNumberStatistics | Poissonian distribution ⓘ |
| photonNumberVariance | Var(n) = |α|² ⓘ |
| property |
closest quantum analogs of classical monochromatic waves
ⓘ
equal uncertainties in conjugate quadratures ⓘ |
| quadratureUncertainties | ΔX ΔP = 1/2 (in appropriate units) ⓘ |
| recognizedBy |
Nobel Prize in Physics 2005 (for related work on quantum theory of optical coherence)
ⓘ
linked to:
Nobel Prize in Physics
|
| relatedConcept | Glauber–Sudarshan P-representation ⓘ |
| relatedTo |
harmonic oscillator
ⓘ
laser light ⓘ |
| resolutionOfIdentity | ∫ d²α/π |α⟩⟨α| = I ⓘ |
| timeEvolutionUnderHarmonicOscillator | remains a coherent state with rotating phase ⓘ |
| usedIn |
continuous-variable quantum information
ⓘ
description of laser fields ⓘ quantum communication ⓘ quantum optical coherence theory ⓘ quantum state tomography ⓘ |
| vacuumConstruction | |α⟩ = D(α)|0⟩ ⓘ |
| yearOfIntroduction | 1963 ⓘ |
How these facts were elicited
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Instruction
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Input
Subject: Glauber coherent states Description of subject: Glauber coherent states are quantum states of the electromagnetic field that most closely resemble classical light waves and form the foundation of quantum optics.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.