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Linear-scale simulations of quench dynamics

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Niaz Ali Khan, Wen Chen, Munsif Jan, Gao Xianlong

Disordered Systems and Neural Networks · Submitted 16 Nov 2023

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

The authors' main claim We observe wave vector-independent dynamical phase transitions in self-dual localization models.

how it is stated · asserted 1.00 read the record →

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arXiv ID2311.09556 (version 2)
Pith IDLX7TZ6VQ, Pith's permanent record of this paper and its review
CitationGao Xianlong, Munsif Jan, Niaz Ali Khan, Wen Chen. "Linear-scale simulations of quench dynamics." arXiv:2311.09556 (2023). https://pith.science/paper/LX7TZ6VQ
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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, 5,494 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.11 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The accurate description and robust computational modeling of the nonequilibrium properties of quantum systems remain a challenge in condensed matter physics. In this work, we develop a linear-scale computational simulation technique for the non-equilibrium dynamics of quantum quench systems. In particular, we report a polynomial-expansion of the Loschmidt echo to describe the dynamical quantum phase transitions of noninteracting quantum quench systems. An expansion-based method allows us to efficiently compute the Loschmidt echo for infinitely large systems without diagonalizing the system Hamiltonian. To demonstrate its utility, we highlight quantum quenching dynamics under tight-binding quasicrystals and disordered lattices in one spatial dimension. In addition, the role of the wave vector on the quench dynamics under lattice models is addressed. We observe wave vector-independent dynamical phase transitions in self-dual localization models.

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 The accurate description and robust computational modeling of the nonequilibrium properties of quantum systems remain a challenge in condensed matter physics. background 0.97 0.03 0.02 asserted 1.00
s1 In this work, we develop a linear-scale computational simulation technique for the non-equilibrium dynamics of quantum quench systems. contribution 0.96 0.96 0.23 asserted 1.00
s2 In particular, we report a polynomial-expansion of the Loschmidt echo to describe the dynamical quantum phase transitions of noninteracting quantum quench systems. contribution 0.51 0.94 0.23 asserted 1.00
s3 An expansion-based method allows us to efficiently compute the Loschmidt echo for infinitely large systems without diagonalizing the system Hamiltonian. method 0.97 0.86 0.17 asserted 1.00
s4 To demonstrate its utility, we highlight quantum quenching dynamics under tight-binding quasicrystals and disordered lattices in one spatial dimension. contribution 0.77 0.84 0.06 asserted 0.99
s5 In addition, the role of the wave vector on the quench dynamics under lattice models is addressed. contribution 0.95 0.59 0.05 asserted 0.60
s6 We observe wave vector-independent dynamical phase transitions in self-dual localization models. result 1.00 0.93 0.33 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.99 · evidence from simulation or computation 1.00.

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not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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

The accurate description and robust computational modeling of the nonequilibrium properties of quantum systems remain a challenge in condensed matter physics. In this work, we develop a linear-scale computational simulation technique for the non-equilibrium dynamics of quantum quench systems. In particular, we report a polynomial-expansion of the Loschmidt echo to describe the dynamical quantum phase transitions of noninteracting quantum quench systems. An expansion-based method allows us to efficiently compute the Loschmidt echo for infinitely large systems without diagonalizing the system Hamiltonian. To demonstrate its utility, we highlight quantum quenching dynamics under tight-binding quasicrystals and disordered lattices in one spatial dimension. In addition, the role of the wave vector on the quench dynamics under lattice models is addressed. We observe wave vector-independent dynamical phase transitions in self-dual localization models.

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