Many-body soliton-like states of the bosonic ideal gas

Kazimierz Rz\k{a}\.zewski; Krzysztof Paw{\l}owski; Rafa{\l} O{\l}dziejewski; Wojciech G\'orecki

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Many-body soliton-like states of the bosonic ideal gas

Rafa{l} O{l}dziejewski, Wojciech Górecki, Krzysztof Paw{l}owski, Kazimierz Rzążewski

Quantum Physics · Submitted 29 Mar 2018

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

The authors' main claim We show that even in the limit of vanishing interaction the yrast states possess features typical for solitons, like the phase jumps and the density notches.

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arXiv ID1803.11042 (version 2)

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

CitationKazimierz Rz\k{a}\.zewski, Krzysztof Paw{\l}owski, Rafa{\l} O{\l}dziejewski, Wojciech G\'orecki. "Many-body soliton-like states of the bosonic ideal gas." arXiv:1803.11042 (2018). https://pith.science/paper/VLHQRAQU

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,654 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.36 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.94 · mentions code or data availability 0.02.

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

We study the lowest energy states for fixed total momentum, i.e. yrast states, of $N$ bosons moving on a ring. As in the paper of A. Syrwid and K. Sacha \cite{syrwid2015} , we compare mean field solitons with the yrast states, being the many-body Lieb-Liniger eigenstates. We show that even in the limit of vanishing interaction the yrast states possess features typical for solitons, like the phase jumps and the density notches. These properties are simply effects of the bosonic symmetrization and are encoded in the Dicke states hidden in the yrast states.

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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	We study the lowest energy states for fixed total momentum, i.e. yrast states, of $N$ bosons moving on a ring. As in the paper of A. Syrwid and K.	contribution 0.86	0.77	0.04	unclear 0.60
s1	Sacha \cite{syrwid2015} , we compare mean field solitons with the yrast states, being the many-body Lieb-Liniger eigenstates.	contribution 0.49	0.80	0.07	asserted 0.86
s2	We show that even in the limit of vanishing interaction the yrast states possess features typical for solitons, like the phase jumps and the density notches.	result 1.00	0.92	0.71	asserted 1.00
s3	These properties are simply effects of the bosonic symmetrization and are encoded in the Dicke states hidden in the yrast states.	interpretation 1.00	0.82	0.37	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.95 · evidence from proof or derivation 0.55.

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The paper

Original abstract

We study the lowest energy states for fixed total momentum, i.e. yrast states, of $N$ bosons moving on a ring. As in the paper of A. Syrwid and K. Sacha \cite{syrwid2015} , we compare mean field solitons with the yrast states, being the many-body Lieb-Liniger eigenstates. We show that even in the limit of vanishing interaction the yrast states possess features typical for solitons, like the phase jumps and the density notches. These properties are simply effects of the bosonic symmetrization and are encoded in the Dicke states hidden in the yrast states.

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2 arXiv papers cite this in 2 sentences

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Cites it as background 1 paper

The observation of the quantum nature of solitons, i.e. many-body effects that go beyond the mean field GPE description [ref] , is still very challenging from an experimental point of view.

Emergence of dark soliton signatures in a one-dimensional unpolarized attractive Fermi gas on a ring · Introduction · 0.84

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