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Flux quench in a system of interacting spinless fermions in one dimension

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Yuya O. Nakagawa, Grégoire Misguich, Masaki Oshikawa

Statistical Mechanics · Submitted 22 Jan 2016

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

The authors' main claim At long times we observe that the current remains non-vanishing in the gapless cases, whereas it decays to zero in the gapped cases.

how it is stated · asserted 1.00 read the record →

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arXiv ID1601.06167 (version 2)
Pith IDZKFCHWVL, Pith's permanent record of this paper and its review
CitationGr\'egoire Misguich, Masaki Oshikawa, Yuya O. Nakagawa. "Flux quench in a system of interacting spinless fermions in one dimension." arXiv:1601.06167 (2016). https://pith.science/paper/ZKFCHWVL
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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, 5,047 input tokens.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.23 · human participants 0.01 · controlled comparison 0.17 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.89 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We study a quantum quench in a one-dimensional spinless fermion model (equivalent to the XXZ spin chain), where a magnetic flux is suddenly switched off. This quench is equivalent to imposing a pulse of electric field and therefore generates an initial particle current. This current is not a conserved quantity in presence of a lattice and interactions and we investigate numerically its time-evolution after the quench, using the infinite time-evolving block decimation method. For repulsive interactions or large initial flux, we find oscillations that are governed by excitations deep inside the Fermi sea. At long times we observe that the current remains non-vanishing in the gapless cases, whereas it decays to zero in the gapped cases. Although the linear response theory (valid for a weak flux) predicts the same long-time limit of the current for repulsive and attractive interactions (relation with the zero-temperature Drude weight), larger nonlinearities are observed in the case of repulsive interactions compared with that of the attractive case.

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 study a quantum quench in a one-dimensional spinless fermion model (equivalent to the XXZ spin chain), where a magnetic flux is suddenly switched off. contribution 0.97 0.90 0.04 asserted 0.96
s1 This quench is equivalent to imposing a pulse of electric field and therefore generates an initial particle current. interpretation 0.61 0.36 0.03 asserted 1.00
s2 This current is not a conserved quantity in presence of a lattice and interactions and we investigate numerically its time-evolution after the quench, using the infinite time-evolving block decimation method. method 0.77 0.91 0.04 asserted 0.98
s3 For repulsive interactions or large initial flux, we find oscillations that are governed by excitations deep inside the Fermi sea. result 0.99 0.96 0.12 asserted 1.00
s4 At long times we observe that the current remains non-vanishing in the gapless cases, whereas it decays to zero in the gapped cases. result 1.00 0.96 0.56 asserted 1.00
s5 Although the linear response theory (valid for a weak flux) predicts the same long-time limit of the current for repulsive and attractive interactions (relation with the zero-temperature Drude weight), larger nonlinearities are observed in the case of repulsive interactions compared with that of the attractive case. result 0.82 0.80 0.17 asserted 0.99

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00.

What was examined, and what was not

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  • figures and tables
  • references and citing sentences
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  • S sections
  • T body sentences
  • C citations
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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 study a quantum quench in a one-dimensional spinless fermion model (equivalent to the XXZ spin chain), where a magnetic flux is suddenly switched off. This quench is equivalent to imposing a pulse of electric field and therefore generates an initial particle current. This current is not a conserved quantity in presence of a lattice and interactions and we investigate numerically its time-evolution after the quench, using the infinite time-evolving block decimation method. For repulsive interactions or large initial flux, we find oscillations that are governed by excitations deep inside the Fermi sea. At long times we observe that the current remains non-vanishing in the gapless cases, whereas it decays to zero in the gapped cases. Although the linear response theory (valid for a weak flux) predicts the same long-time limit of the current for repulsive and attractive interactions (relation with the zero-temperature Drude weight), larger nonlinearities are observed in the case of repulsive interactions compared with that of the attractive case.

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