Exploring dynamical phase transitions and prethermalization with quantum noise of excitations

Alessandro Silva; Eugene Demler; Michael Knap; Pietro Smacchia

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Exploring dynamical phase transitions and prethermalization with quantum noise of excitations

Pietro Smacchia, Michael Knap, Eugene Demler, Alessandro Silva

Statistical Mechanics · Submitted 5 Sep 2014

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

The authors' main claim We argue that the growth of defect fluctuations carries unique signatures of the dynamical criticality, irrespective of the precise details of the model.

how it is stated · asserted 0.62 read the record →

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arXiv ID1409.1883 (version 2)

Pith IDXL3533CB, Pith's permanent record of this paper and its review

CitationAlessandro Silva, Eugene Demler, Michael Knap, Pietro Smacchia. "Exploring dynamical phase transitions and prethermalization with quantum noise of excitations." arXiv:1409.1883 (2014). https://pith.science/paper/XL3533CB

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The compiled record

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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,266 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.13 · compares with prior results 0.12 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Dynamical phase transitions can occur in isolated quantum systems that are brought out of equilibrium by sudden parameter changes. We discuss the characterization of such dynamical phase transitions based on the statistics of produced excitations. We consider both the O(N) model in the large N limit and a spin model with long range interactions and show that the dynamical criticality of their prethermal steady-states manifests most dramatically not in the average number of excitations but in their higher moments. We argue that the growth of defect fluctuations carries unique signatures of the dynamical criticality, irrespective of the precise details of the model. Our theoretical results should be relevant to quantum quench experiments with ultracold bosonic atoms in optical lattices.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Dynamical phase transitions can occur in isolated quantum systems that are brought out of equilibrium by sudden parameter changes.	background 1.00	0.05	0.03	asserted 0.53
s1	We discuss the characterization of such dynamical phase transitions based on the statistics of produced excitations.	contribution 0.94	0.64	0.05	asserted 0.67
s2	We consider both the O(N) model in the large N limit and a spin model with long range interactions and show that the dynamical criticality of their prethermal steady-states manifests most dramatically not in the average number of excitations but in their higher moments.	result 0.90	0.92	0.79	asserted 1.00
s3	We argue that the growth of defect fluctuations carries unique signatures of the dynamical criticality, irrespective of the precise details of the model.	interpretation 0.94	0.69	0.46	asserted 0.62
s4	Our theoretical results should be relevant to quantum quench experiments with ultracold bosonic atoms in optical lattices.	interpretation 0.86	0.20	0.05	hedged possibility 0.85

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.79.

What was examined, and what was not

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arXiv listing abstract v2

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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

Dynamical phase transitions can occur in isolated quantum systems that are brought out of equilibrium by sudden parameter changes. We discuss the characterization of such dynamical phase transitions based on the statistics of produced excitations. We consider both the O(N) model in the large N limit and a spin model with long range interactions and show that the dynamical criticality of their prethermal steady-states manifests most dramatically not in the average number of excitations but in their higher moments. We argue that the growth of defect fluctuations carries unique signatures of the dynamical criticality, irrespective of the precise details of the model. Our theoretical results should be relevant to quantum quench experiments with ultracold bosonic atoms in optical lattices.

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How later papers used it

45 later papers cite it

Evidence: some. 38 of the citing papers share no author with it, and 8 of those carry a confident label from Pith's citation classifier.

Pith read 8 of the 112 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

1 paper by the same authors is listed below: 1 built on it.

Builds on it 1 paper · 1 by the same authors

By the same authors

Generalized the approach proposed in this paper to study the statistics of excitations produced by the ramp of the bare mass, completing its characterization of the crossover in the dynamical transition.

Dynamics following a linear ramps in the $O(N)$ model: dynamical transition and statistics of excitations (2016) (same authors) · 0.91 · paraphrased: the licence does not allow quoting

How the literature uses it

5 arXiv papers cite this in 8 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 3 sentences without a confident label

Compares with it 1 paper

Note that dissipative terms are not actually generated in the cases studied in Refs. [ref] , whose relevant fluctuations are Gaussian; correspondingly, the scenario sketched in Fig. [ref] should apply at all times.

Short-time universal scaling in an isolated quantum system after a quench · Renormalization-group flow · 0.93

Cites it as background 3 papers

Different types of prethermal and universal dynamics after quenches of quantum many-body systems far out of equilibrium have been studied recently [ref] , many of them in the context of ultracold Bose gases.

Low-energy effective theory of non-thermal fixed points in a multicomponent Bose gas · Introduction · 0.97
Universal scaling far from equilibrium has recently been analyzed for different types of quantum quenches [ref] , see also Refs. [ref] for studies of phase-ordering kinetics in ultracold Bose gases.

Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas · Introduction · 0.86
Examples include the density of defects [ref] , dynamics of correlation functions [ref] , statistics of the work [ref] , rephasing dynamics [ref] , and dynamical phase transitions [ref] .

Short-time universal scaling in an isolated quantum system after a quench · Introduction · 0.83

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