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Two-mode Bose gas: Beyond classical squeezing

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C. Bodet, J. Estève, M. K. Oberthaler, T. Gasenzer

Quantum Gases · Submitted 12 Feb 2010

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

The authors' main claim It is shown that the eigenstates of the Hamiltonian do not exploit the full region allowed by Heisenberg's uncertainty relation for number and phase fluctuations.

how it is stated · asserted 1.00 read the record →

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arXiv ID1002.2504 (version 1)
Pith IDDWSYM2TL, Pith's permanent record of this paper and its review
CitationC. Bodet, J. Est\`eve, M. K. Oberthaler, T. Gasenzer. "Two-mode Bose gas: Beyond classical squeezing." arXiv:1002.2504 (2010). https://pith.science/paper/DWSYM2TL
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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, 4,214 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.29 · human participants 0.01 · controlled comparison 0.36 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.69 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

The dynamical evolution of squeezing correlations in an ultracold Bose-Einstein distributed across two modes is investigated theoretically in the framework of the Bose-Hubbard model. It is shown that the eigenstates of the Hamiltonian do not exploit the full region allowed by Heisenberg's uncertainty relation for number and phase fluctuations. The development of non-classical correlations and relative number squeezing is studied in the transition from the Josephson to the Fock regime. Comparing the full quantum evolution with classical statistical simulations allows to identify quantum aspects of the squeezing formation. In the quantum regime, the measurement of squeezing allows to distinguish even and odd total particle numbers.

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 dynamical evolution of squeezing correlations in an ultracold Bose-Einstein distributed across two modes is investigated theoretically in the framework of the Bose-Hubbard model. contribution 0.96 0.83 0.06 asserted 0.90
s1 It is shown that the eigenstates of the Hamiltonian do not exploit the full region allowed by Heisenberg's uncertainty relation for number and phase fluctuations. result 0.99 0.81 0.28 asserted 1.00
s2 The development of non-classical correlations and relative number squeezing is studied in the transition from the Josephson to the Fock regime. contribution 1.00 0.83 0.11 asserted 0.91
s3 Comparing the full quantum evolution with classical statistical simulations allows to identify quantum aspects of the squeezing formation. method 0.95 0.80 0.09 asserted 0.87
s4 In the quantum regime, the measurement of squeezing allows to distinguish even and odd total particle numbers. result 0.96 0.70 0.22 asserted 0.97

What kind of paper the classifier reports this is: theoretical result 0.89 · evidence from simulation or computation 0.88.

What was examined, and what was not

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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 dynamical evolution of squeezing correlations in an ultracold Bose-Einstein distributed across two modes is investigated theoretically in the framework of the Bose-Hubbard model. It is shown that the eigenstates of the Hamiltonian do not exploit the full region allowed by Heisenberg's uncertainty relation for number and phase fluctuations. The development of non-classical correlations and relative number squeezing is studied in the transition from the Josephson to the Fock regime. Comparing the full quantum evolution with classical statistical simulations allows to identify quantum aspects of the squeezing formation. In the quantum regime, the measurement of squeezing allows to distinguish even and odd total particle numbers.

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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

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