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Quantum phase transition of nonlinear light in the finite size Dicke Hamiltonian

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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B. M. Rodríguez-Lara, Ray-Kuang Lee

Quantum Physics · Submitted 21 May 2010

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

The authors' main claim Given a finite size, our results also indicate the co-existence of squeezed fields and squeezed atomic ensembles.

how it is stated · hedged possibility 0.99 read the record →

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arXiv ID1005.3884 (version 2)
Pith ID54GSB2RP, Pith's permanent record of this paper and its review
CitationB. M. Rodr\'iguez-Lara, Ray-Kuang Lee. "Quantum phase transition of nonlinear light in the finite size Dicke Hamiltonian." arXiv:1005.3884 (2010). https://pith.science/paper/54GSB2RP
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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, 3,633 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.33 · human participants 0.01 · controlled comparison 0.02 · 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 study the quantum phase transition of a N two-level atomic ensemble interacting with an optical degenerate parametric process, which can be described by the finite size Dicke Hamiltonian plus counter-rotating and quadratic field terms. Analytical closed forms of the critical coupling value and their corresponding separable ground states are derived in the weak and strong coupling regimes. The existence of bipartite entanglement between the two-level-system ensemble and photon field as well as between ensemble components for moderate coupling is shown through numerical analysis. Given a finite size, our results also indicate the co-existence of squeezed fields and squeezed atomic ensembles.

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 the quantum phase transition of a N two-level atomic ensemble interacting with an optical degenerate parametric process, which can be described by the finite size Dicke Hamiltonian plus counter-rotating and quadratic field terms. contribution 0.96 0.82 0.08 asserted 0.95
s1 Analytical closed forms of the critical coupling value and their corresponding separable ground states are derived in the weak and strong coupling regimes. result 0.80 0.96 0.23 asserted 1.00
s2 The existence of bipartite entanglement between the two-level-system ensemble and photon field as well as between ensemble components for moderate coupling is shown through numerical analysis. result 1.00 0.94 0.21 asserted 1.00
s3 Given a finite size, our results also indicate the co-existence of squeezed fields and squeezed atomic ensembles. result 0.93 0.92 0.20 hedged possibility 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.95.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • 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

We study the quantum phase transition of a N two-level atomic ensemble interacting with an optical degenerate parametric process, which can be described by the finite size Dicke Hamiltonian plus counter-rotating and quadratic field terms. Analytical closed forms of the critical coupling value and their corresponding separable ground states are derived in the weak and strong coupling regimes. The existence of bipartite entanglement between the two-level-system ensemble and photon field as well as between ensemble components for moderate coupling is shown through numerical analysis. Given a finite size, our results also indicate the co-existence of squeezed fields and squeezed atomic ensembles.

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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

What it cites

Uses the method or tool of 1 paper
  • Numerical results might be improved by allowing a larger maximum for the maximum excitation of the field, optimizing the code, or effecting a customized analytical progressive diagonalization scheme based on those presented in references [ref] .

    A progressive diagonalization scheme for the Rabi Hamiltonian · Moderate coupling regime · 0.96

Cites as background 1 paper

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