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.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Glauber theory of quantum optics | 1 |
| Glauber–Sudarshan P function canonical | 1 |
| Glauber–Sudarshan P-representation | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4461612 — 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.
Target entity: Glauber–Sudarshan P function Context triple: [Wigner distribution function, relatedTo, Glauber–Sudarshan P function]
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A.
Wigner distribution function
The Wigner distribution function is a quasi-probability distribution used in quantum mechanics and signal processing to represent quantum states in phase space, often exhibiting non-classical features such as negative values.
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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.
Rayleigh–Schrödinger perturbation theory
Rayleigh–Schrödinger perturbation theory is a fundamental method in quantum mechanics for approximating the energies and states of a system by treating interactions as small corrections to an exactly solvable problem.
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D.
Born–Huang expansion
The Born–Huang expansion is a quantum mechanical method that systematically improves upon the Born–Oppenheimer approximation by including couplings between electronic and nuclear motions in molecular systems.
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E.
Wightman functions
Wightman functions are vacuum expectation values of time-ordered products of quantum fields that rigorously encode the correlation structure and axiomatic foundations of relativistic quantum field theory.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Glauber–Sudarshan P function Target entity description: 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.
-
A.
Wigner distribution function
The Wigner distribution function is a quasi-probability distribution used in quantum mechanics and signal processing to represent quantum states in phase space, often exhibiting non-classical features such as negative values.
-
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.
Rayleigh–Schrödinger perturbation theory
Rayleigh–Schrödinger perturbation theory is a fundamental method in quantum mechanics for approximating the energies and states of a system by treating interactions as small corrections to an exactly solvable problem.
-
D.
Born–Huang expansion
The Born–Huang expansion is a quantum mechanical method that systematically improves upon the Born–Oppenheimer approximation by including couplings between electronic and nuclear motions in molecular systems.
-
E.
Wightman functions
Wightman functions are vacuum expectation values of time-ordered products of quantum fields that rigorously encode the correlation structure and axiomatic foundations of relativistic quantum field theory.
- F. None of above. chosen
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 ⓘ |
How these facts were elicited
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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.
Subject: Glauber–Sudarshan P function Description of subject: 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.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.