Bose gas
E287406
A Bose gas is a quantum-mechanical system of indistinguishable bosons whose collective behavior is governed by Bose–Einstein statistics, often leading to phenomena like Bose–Einstein condensation at low temperatures.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Bose gas canonical | 1 |
| Bose–Einstein gas | 1 |
| Tonks–Girardeau gas | 1 |
| continuum Bose gas | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2683110 — 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: Bose gas Context triple: [Fermi gas, relatedToConcept, Bose gas]
-
A.
Bose–Einstein statistics
Bose–Einstein statistics is a quantum statistical framework that describes the distribution and collective behavior of indistinguishable bosons, underpinning phenomena such as Bose–Einstein condensation.
-
B.
Fermi gas
A Fermi gas is a quantum many-particle system composed of fermions that obey Fermi–Dirac statistics, often used to model electrons in metals, neutrons in neutron stars, and ultracold atomic gases.
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C.
Bose–Einstein condensate
A Bose–Einstein condensate is an exotic state of matter formed when a dilute gas of bosons is cooled to temperatures near absolute zero, causing a large fraction of the particles to occupy the same quantum state and behave as a single quantum entity.
-
D.
Fermi–Dirac statistics
Fermi–Dirac statistics is the quantum statistical framework that describes the distribution and behavior of indistinguishable fermions, such as electrons, which obey the Pauli exclusion principle.
-
E.
Maxwell–Boltzmann statistics
Maxwell–Boltzmann statistics is a classical statistical framework in physics that describes the distribution of speeds or energies among distinguishable, non-quantum particles in thermal equilibrium.
- 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: Bose gas Target entity description: A Bose gas is a quantum-mechanical system of indistinguishable bosons whose collective behavior is governed by Bose–Einstein statistics, often leading to phenomena like Bose–Einstein condensation at low temperatures.
-
A.
Bose–Einstein statistics
Bose–Einstein statistics is a quantum statistical framework that describes the distribution and collective behavior of indistinguishable bosons, underpinning phenomena such as Bose–Einstein condensation.
-
B.
Fermi gas
A Fermi gas is a quantum many-particle system composed of fermions that obey Fermi–Dirac statistics, often used to model electrons in metals, neutrons in neutron stars, and ultracold atomic gases.
-
C.
Bose–Einstein condensate
A Bose–Einstein condensate is an exotic state of matter formed when a dilute gas of bosons is cooled to temperatures near absolute zero, causing a large fraction of the particles to occupy the same quantum state and behave as a single quantum entity.
-
D.
Fermi–Dirac statistics
Fermi–Dirac statistics is the quantum statistical framework that describes the distribution and behavior of indistinguishable fermions, such as electrons, which obey the Pauli exclusion principle.
-
E.
Maxwell–Boltzmann statistics
Maxwell–Boltzmann statistics is a classical statistical framework in physics that describes the distribution of speeds or energies among distinguishable, non-quantum particles in thermal equilibrium.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
model in statistical mechanics
ⓘ
physical system ⓘ quantum many-body system ⓘ |
| allows | multiple occupancy of single-particle states ⓘ |
| canExhibit |
Bose–Einstein condensation
ⓘ
macroscopic ground-state occupation ⓘ off-diagonal long-range order ⓘ superfluidity ⓘ |
| composedOf | bosons ⓘ |
| confinedBy |
magnetic traps
ⓘ
optical traps ⓘ |
| contrastsWith | Fermi gas ⓘ |
| describedBy |
canonical ensemble
ⓘ
grand canonical ensemble ⓘ |
| governedBy | quantum mechanics ⓘ |
| hasCriticalTemperature | Bose–Einstein condensation critical temperature ⓘ |
| hasDistributionFunction |
Bose–Einstein statistics
ⓘ
surface form:
Bose–Einstein distribution
|
| hasExcitations |
Bogoliubov transformation
ⓘ
surface form:
Bogoliubov quasiparticles
phonons ⓘ |
| hasHistoricalContext | introduced after Bose–Einstein statistics ⓘ |
| hasLimitingCase |
ideal Bose gas
ⓘ
non-interacting Bose gas ⓘ |
| hasOrderParameter | condensate wavefunction ⓘ |
| hasPhaseTransition |
Bose–Einstein condensate
ⓘ
surface form:
Bose–Einstein condensation transition
|
| hasProperty |
indistinguishable particles
ⓘ
integer-spin particles ⓘ no Pauli exclusion principle ⓘ |
| hasStatistics | Bose–Einstein statistics ⓘ |
| hasThermodynamicQuantity |
Bose gas energy density
ⓘ
Bose gas pressure ⓘ Bose gas specific heat ⓘ |
| hasVariant |
homogeneous Bose gas
ⓘ
interacting Bose gas ⓘ lattice Bose gas ⓘ one-dimensional Bose gas ⓘ strongly interacting Bose gas ⓘ trapped Bose gas ⓘ two-dimensional Bose gas ⓘ weakly interacting Bose gas ⓘ |
| modeledBy |
Bogoliubov theory of weakly interacting Bose gases
ⓘ
surface form:
Bogoliubov theory
Gross–Pitaevskii equation ⓘ |
| namedAfter |
Albert Einstein
ⓘ
Satyendra Nath Bose ⓘ |
| obeys | Bose–Einstein occupation numbers ⓘ |
| realizedIn |
dilute alkali atom vapors
ⓘ
ultracold atomic gases ⓘ |
| studiedIn |
condensed matter physics
ⓘ
quantum field theory ⓘ statistical mechanics ⓘ |
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: Bose gas Description of subject: A Bose gas is a quantum-mechanical system of indistinguishable bosons whose collective behavior is governed by Bose–Einstein statistics, often leading to phenomena like Bose–Einstein condensation at low temperatures.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Bose–Einstein gas
this entity surface form:
Tonks–Girardeau gas
this entity surface form:
continuum Bose gas