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.
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
NERFINISHED
ⓘ
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 NERFINISHED ⓘ |
| mathematicalRepresentation | eigenstates of the annihilation operator a ⓘ |
| meanPhotonNumber | ⟨n⟩ = |α|² ⓘ |
| minimize | Heisenberg uncertainty relation for field quadratures ⓘ |
| namedAfter | Roy J. Glauber NERFINISHED ⓘ |
| 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) NERFINISHED ⓘ |
| 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 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.