Glauber–Sudarshan P function
E443156
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.
Observed surface forms (2)
| Surface form | Occurrences |
|---|---|
| Glauber theory of quantum optics | 1 |
| Glauber–Sudarshan P-representation | 1 |
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
concept in quantum optics
ⓘ
phase-space representation ⓘ quasi-probability distribution ⓘ |
| alsoKnownAs |
P representation
NERFINISHED
ⓘ
diagonal coherent-state representation ⓘ |
| appliedIn |
continuous-variable quantum information
ⓘ
quantum communication ⓘ quantum optics experiments ⓘ |
| associatedWith |
Glauber coherent states
NERFINISHED
ⓘ
normal-ordered correlation functions ⓘ |
| characterizes |
classicality of optical fields
ⓘ
nonclassicality of optical fields ⓘ |
| classicalityCriterion | existence of a regular positive P function ⓘ |
| definedFrom | density matrix in coherent-state basis ⓘ |
| domain | complex phase space ⓘ |
| field |
quantum information theory
ⓘ
quantum mechanics ⓘ quantum optics ⓘ |
| historicalPeriod | 1960s ⓘ |
| integratesTo | unity for normalized quantum states ⓘ |
| introducedFor | normal ordering of field operators ⓘ |
| introducedInContext | coherent-state formalism ⓘ |
| mathematicalForm | distribution over complex amplitude α ⓘ |
| namedAfter |
E. C. G. Sudarshan
NERFINISHED
ⓘ
Roy J. Glauber NERFINISHED ⓘ |
| nonclassicalityCriterion | negativity or singularity of the P function ⓘ |
| property |
can be highly singular
ⓘ
can take negative values in generalized sense ⓘ reduces to classical probability distribution for classical states ⓘ |
| relatedConcept |
nonclassical states of light
ⓘ
photon antibunching ⓘ squeezed states ⓘ sub-Poissonian photon statistics ⓘ |
| relatedTo |
Husimi Q function
NERFINISHED
ⓘ
Wigner function ⓘ s-parameterized quasiprobability distributions ⓘ |
| represents |
density operator
ⓘ
quantum states of light ⓘ |
| transformsUnder | linear optical transformations ⓘ |
| usedFor |
analysis of photon statistics
ⓘ
description of optical coherence ⓘ identification of nonclassical light ⓘ quantum optical tomography ⓘ quantum state reconstruction ⓘ |
| usedToDescribe |
Fock states
NERFINISHED
ⓘ
laser light ⓘ squeezed vacuum states ⓘ thermal states of radiation ⓘ |
| usesBasis | coherent states ⓘ |
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Glauber–Sudarshan P-representation
this entity surface form:
Glauber theory of quantum optics