Triple

T15522200
Position Surface form Disambiguated ID Type / Status
Subject Lieb–Liniger model E368994 entity
Predicate relatedTo P37 FINISHED
Object Bose–Hubbard model in the continuum limit
The Bose–Hubbard model in the continuum limit is a quantum many-body model describing interacting bosons in continuous space, often used to capture low-energy physics of ultracold atomic gases and closely related to the Lieb–Liniger model.
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: Bose–Hubbard model in the continuum limit | Statement: [Lieb–Liniger model, relatedTo, Bose–Hubbard model in the continuum limit]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Bose–Hubbard model in the continuum limit
Context triple: [Lieb–Liniger model, relatedTo, Bose–Hubbard model in the continuum limit]
  • A. 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.
  • B. 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.
  • C. Hubbard model
    The Hubbard model is a fundamental theoretical model in condensed matter physics that describes interacting electrons on a lattice and is widely used to study phenomena such as magnetism, metal–insulator transitions, and high-temperature superconductivity.
  • D. 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.
  • E. Bloch oscillations
    Bloch oscillations are periodic oscillations of electrons in a crystal lattice subjected to a constant electric field, arising from the band structure and leading to oscillatory motion in momentum space.
  • 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: Bose–Hubbard model in the continuum limit
Triple: [Lieb–Liniger model, relatedTo, Bose–Hubbard model in the continuum limit]
Generated description
The Bose–Hubbard model in the continuum limit is a quantum many-body model describing interacting bosons in continuous space, often used to capture low-energy physics of ultracold atomic gases and closely related to the Lieb–Liniger model.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Bose–Hubbard model in the continuum limit
Target entity description: The Bose–Hubbard model in the continuum limit is a quantum many-body model describing interacting bosons in continuous space, often used to capture low-energy physics of ultracold atomic gases and closely related to the Lieb–Liniger model.
  • A. 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.
  • B. Lieb–Liniger model chosen
    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.
  • C. Hubbard model
    The Hubbard model is a fundamental theoretical model in condensed matter physics that describes interacting electrons on a lattice and is widely used to study phenomena such as magnetism, metal–insulator transitions, and high-temperature superconductivity.
  • D. 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.
  • E. Bloch oscillations
    Bloch oscillations are periodic oscillations of electrons in a crystal lattice subjected to a constant electric field, arising from the band structure and leading to oscillatory motion in momentum space.
  • F. None of above.

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_69d85a1794cc8190b0b428716296e63e completed April 10, 2026, 2:01 a.m.
NER Named-entity recognition batch_69e0403543188190abac49d2b9decb89 completed April 16, 2026, 1:49 a.m.
NED1 Entity disambiguation (via context triple) batch_69ff3d54ea5c8190b3b220ad10ba8f40 completed May 9, 2026, 1:57 p.m.
NEDg Description generation batch_69ff3e5643088190a9b001ef815ddd3a completed May 9, 2026, 2:01 p.m.
NED2 Entity disambiguation (via description) batch_69ff3f4456f88190b7fc9b853b0155e4 completed May 9, 2026, 2:05 p.m.
Created at: April 10, 2026, 4:04 a.m.