Bogoliubov theory of weakly interacting Bose gases
E287402
Bogoliubov theory of weakly interacting Bose gases is a foundational quantum many-body framework that explains the excitation spectrum and collective behavior of dilute Bose–Einstein condensates by treating interactions as small perturbations around a condensed ground state.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Bogoliubov theory | 1 |
| Bogoliubov theory of weakly interacting Bose gas | 1 |
| Bogoliubov theory of weakly interacting Bose gases canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2682988 — 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: Bogoliubov theory of weakly interacting Bose gases Context triple: [Gross–Pitaevskii equation, relatedTo, Bogoliubov theory of weakly interacting Bose gases]
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A.
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.
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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.
Feshbach projection formalism
The Feshbach projection formalism is a quantum mechanical method that partitions a system’s Hilbert space into subspaces to derive effective Hamiltonians and describe interactions with continua or eliminated degrees of freedom.
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D.
Ginzburg–Landau theory of superconductivity
The Ginzburg–Landau theory of superconductivity is a phenomenological framework that describes superconductors using a complex order parameter and macroscopic equations to capture phase transitions, coherence length, and magnetic behavior.
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E.
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.
- 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: Bogoliubov theory of weakly interacting Bose gases Target entity description: Bogoliubov theory of weakly interacting Bose gases is a foundational quantum many-body framework that explains the excitation spectrum and collective behavior of dilute Bose–Einstein condensates by treating interactions as small perturbations around a condensed ground state.
-
A.
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.
-
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.
Feshbach projection formalism
The Feshbach projection formalism is a quantum mechanical method that partitions a system’s Hilbert space into subspaces to derive effective Hamiltonians and describe interactions with continua or eliminated degrees of freedom.
-
D.
Ginzburg–Landau theory of superconductivity
The Ginzburg–Landau theory of superconductivity is a phenomenological framework that describes superconductors using a complex order parameter and macroscopic equations to capture phase transitions, coherence length, and magnetic behavior.
-
E.
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.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
approximation method
ⓘ
quantum many-body theory ⓘ theoretical framework ⓘ |
| appliesTo |
dilute Bose–Einstein condensates
ⓘ
weakly interacting Bose gases ⓘ |
| approximates | interacting Bose gas by quadratic Hamiltonian in fluctuation operators ⓘ |
| assumes |
dilute gas limit
ⓘ
macroscopic occupation of the zero-momentum mode ⓘ weak interparticle interactions ⓘ |
| basedOn |
Bogoliubov transformation
ⓘ
mean-field approximation ⓘ second quantization ⓘ |
| category |
Bose–Einstein condensation
ⓘ
many-body approximation methods ⓘ quantum field theory in condensed matter ⓘ |
| describes |
collective excitations in Bose gases
ⓘ
elementary excitations of a Bose–Einstein condensate ⓘ quasiparticle spectrum in weakly interacting Bose systems ⓘ |
| developedBy |
Nikolay Bogoliubov
ⓘ
linked to:
Nikolay Bogolyubov
|
| explains |
crossover from phonon-like to free-particle-like excitations
ⓘ
linear phonon-like dispersion at low momentum ⓘ stability of the Bose–Einstein condensate against weak interactions ⓘ |
| field |
condensed matter physics
ⓘ
quantum many-body physics ⓘ ultracold atomic physics ⓘ |
| frameworkFor |
calculating condensate depletion
ⓘ
calculating dynamic structure factor of Bose gases ⓘ describing low-energy collective modes in trapped Bose–Einstein condensates ⓘ |
| influenced |
modern theory of Bose–Einstein condensation
ⓘ
theory of superfluidity ⓘ theory of weakly interacting quantum gases ⓘ |
| motivatedBy | superfluidity of liquid helium-4 ⓘ |
| neglects | higher-order interaction terms between quasiparticles ⓘ |
| predicts |
Bogoliubov excitation spectrum
ⓘ
gapless Goldstone mode associated with broken U(1) symmetry ⓘ quantum depletion of the condensate ⓘ sound velocity in a weakly interacting Bose gas ⓘ |
| relatedTo |
Bogoliubov–de Gennes equations
ⓘ
Gross–Pitaevskii equation ⓘ quasiparticle concept ⓘ spontaneous symmetry breaking ⓘ |
| timePeriod | late 1940s ⓘ |
| uses |
canonical transformation to diagonalize the Hamiltonian
ⓘ
contact interaction potential ⓘ quadratic Hamiltonian in fluctuation operators ⓘ s-wave scattering length as interaction parameter ⓘ |
| validWhen |
interaction energy is small compared to kinetic energy scale
ⓘ
temperature is much lower than the critical temperature ⓘ |
How these facts were elicited
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Input
Subject: Bogoliubov theory of weakly interacting Bose gases Description of subject: Bogoliubov theory of weakly interacting Bose gases is a foundational quantum many-body framework that explains the excitation spectrum and collective behavior of dilute Bose–Einstein condensates by treating interactions as small perturbations around a condensed ground state.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Bogoliubov theory of weakly interacting Bose gases
linked to: Bogoliubov theory of weakly interacting Bose gases