Triple
T3576748
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Bethe ansatz |
E75706
|
entity |
| Predicate | solves |
P14252
|
FINISHED |
| Object |
Lieb–Liniger model
The Lieb–Liniger model is an exactly solvable quantum many-body system describing one-dimensional bosons with delta-function interactions, fundamental in the study of integrable systems and quantum gases.
|
E368994
|
NE FINISHED |
How this triple was built (4 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Lieb–Liniger model | Statement: [Bethe ansatz, solves, Lieb–Liniger model]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Lieb–Liniger model Context triple: [Bethe ansatz, solves, Lieb–Liniger model]
-
A.
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.
-
B.
Luttinger liquid theory
Luttinger liquid theory is a framework describing the collective, non-Fermi-liquid behavior of interacting electrons in one-dimensional conductors, where excitations are best understood as bosonic density waves rather than quasiparticles.
-
C.
Bogoliubov theory of weakly interacting Bose gases
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.
-
D.
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.
-
E.
Bose gas
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.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Lieb–Liniger model Triple: [Bethe ansatz, solves, Lieb–Liniger model]
Generated description
The Lieb–Liniger model is an exactly solvable quantum many-body system describing one-dimensional bosons with delta-function interactions, fundamental in the study of integrable systems and quantum gases.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Lieb–Liniger model Target entity description: The Lieb–Liniger model is an exactly solvable quantum many-body system describing one-dimensional bosons with delta-function interactions, fundamental in the study of integrable systems and quantum gases.
-
A.
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.
-
B.
Luttinger liquid theory
Luttinger liquid theory is a framework describing the collective, non-Fermi-liquid behavior of interacting electrons in one-dimensional conductors, where excitations are best understood as bosonic density waves rather than quasiparticles.
-
C.
Bogoliubov theory of weakly interacting Bose gases
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.
-
D.
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.
-
E.
Bose gas
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.
- F. None of above. chosen
Provenance (5 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69ad85d5e3008190bdfe0bacdd1f5a1b |
completed | March 8, 2026, 2:21 p.m. |
| NER | Named-entity recognition | batch_69adc0dba238819083a1d09005c312b8 |
completed | March 8, 2026, 6:32 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69b3bbc3d4e88190b18ed318c55594cc |
completed | March 13, 2026, 7:24 a.m. |
| NEDg | Description generation | batch_69b3bd01ba7881909a0987b7d5dad4c2 |
completed | March 13, 2026, 7:30 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69b3f5b6e66c81908700d5f3df0a864d |
completed | March 13, 2026, 11:32 a.m. |
Created at: March 8, 2026, 3:21 p.m.