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Periodic dynamics of population-imbalanced fermionic condensates in optical lattices

Quantum Gases · Submitted 10 Nov 2022

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim It is shown that the natural fluctuations of the condensate fraction are periodic beyond a threshold Feshbach detuning; and below this threshold value, the condensate fraction shows no oscillation at all.

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arXiv ID2211.05444 (version 2)
Pith IDNUOJS6T6, Pith's permanent record of this paper and its review
CitationAvinaba Mukherjee, Raka Dasgupta. "Periodic dynamics of population-imbalanced fermionic condensates in optical lattices." arXiv:2211.05444 (2022). https://pith.science/paper/NUOJS6T6
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,228 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.13 · randomized assignment 0.01 · states quantitative result 0.19 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We investigate the dynamics of a population-imbalanced two-species fermionic system trapped in an optical lattice. The paired fermions here can form bosonic molecules via Feshbach coupling in the presence of an external magnetic field. It is shown that the natural fluctuations of the condensate fraction are periodic beyond a threshold Feshbach detuning; and below this threshold value, the condensate fraction shows no oscillation at all. The oscillation frequency vs. detuning curve is linear in nature. The slope and intercept of this line are shown to carry important information about the amount of imbalance present in the system, and the momentum space structure of the exotic phases.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We investigate the dynamics of a population-imbalanced two-species fermionic system trapped in an optical lattice. contribution 0.97 0.88 0.03 asserted 0.78
s1 The paired fermions here can form bosonic molecules via Feshbach coupling in the presence of an external magnetic field. background 0.89 0.13 0.03 asserted 0.61
s2 It is shown that the natural fluctuations of the condensate fraction are periodic beyond a threshold Feshbach detuning; and below this threshold value, the condensate fraction shows no oscillation at all. result 1.00 0.85 0.69 asserted 1.00
s3 The oscillation frequency vs. detuning curve is linear in nature. result 1.00 0.84 0.14 asserted 1.00
s4 The slope and intercept of this line are shown to carry important information about the amount of imbalance present in the system, and the momentum space structure of the exotic phases. interpretation 0.89 0.88 0.25 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.66 · evidence from simulation or computation 0.78.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We investigate the dynamics of a population-imbalanced two-species fermionic system trapped in an optical lattice. The paired fermions here can form bosonic molecules via Feshbach coupling in the presence of an external magnetic field. It is shown that the natural fluctuations of the condensate fraction are periodic beyond a threshold Feshbach detuning; and below this threshold value, the condensate fraction shows no oscillation at all. The oscillation frequency vs. detuning curve is linear in nature. The slope and intercept of this line are shown to carry important information about the amount of imbalance present in the system, and the momentum space structure of the exotic phases.

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