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arxiv: 2411.13088 · v1 · submitted 2024-11-20 · ❄️ cond-mat.quant-gas · physics.atom-ph· quant-ph

Strong interaction induced dimensional crossover in 1D quantum gas

Zhongchi Zhang , Zihan Zhao , Huaichuan Wang , Ken Deng , Yuqi Liu , Wenlan Chen , Jiazhong Hu This is my paper

Pith reviewed 2026-05-23 17:43 UTC · model grok-4.3

classification ❄️ cond-mat.quant-gas physics.atom-phquant-ph
keywords quantum gasdimensional crossoverstrong interactionsFeshbach resonancebreathing modeYang-Yang equationhydrodynamics1D to 3D
0
0 comments X

The pith

Strong interactions cause a 1D quantum gas to exhibit 3D behavior in an unchanged elongated trap.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper demonstrates that a one-dimensional quantum gas in an elongated optical trap undergoes a crossover to three-dimensional characteristics solely by increasing the atomic scattering length. This occurs without modifying the trapping confinement, allowing direct observation of spatial distributions and excitations in thousands of atoms. As interactions strengthen, 1D theoretical descriptions such as mean-field theory, the Yang-Yang equation, and hydrodynamics cease to apply. Breathing-mode frequencies transition between values predicted by 1D and 3D hydrodynamics, linked by a universal crossover regime.

Core claim

We generated a one-dimensional quantum gas in an elongated optical dipole trap and observed that increasing the scattering length via Feshbach resonance causes the gas to pop up into three dimensions without altering the trap. During this crossover, 1D theories fail, but a modified Yang-Yang equation works at higher temperatures though not for stronger interactions. Breathing-mode frequencies exhibit two quantized plateaus corresponding to 1D and 3D hydrodynamics, with a universal crossover connecting the regimes.

What carries the argument

The strong-interaction-induced dimensional crossover from 1D to 3D behavior in a quantum gas.

If this is right

  • 1D mean field theory, Yang-Yang equation, and 1D hydrodynamics fail with increasing scattering length.
  • The modified Yang-Yang equation describes the system at temperatures above the 1D threshold but not stronger interactions.
  • Breathing-mode frequencies show quantized plateaus for weak (1D) and strong (3D) interactions.
  • A universal crossover regime connects the two hydrodynamic regimes where both descriptions fail.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • This approach enables study of dimensional effects by tuning interactions rather than geometry.
  • The universal crossover may apply to other low-dimensional quantum systems.
  • Similar interaction-driven crossovers could be explored in fermionic or spinor gases.
  • Control over chemical potential and temperature allows isolation of interaction effects from thermal ones.

Load-bearing premise

That observed changes arise purely from increasing the scattering length and not from variations in temperature, density, or trap anharmonicity.

What would settle it

If spatial distributions and breathing frequencies remain unchanged when scattering length is increased while temperature and density are held fixed, the claim that interactions alone drive the crossover would be refuted.

Figures

Figures reproduced from arXiv: 2411.13088 by Huaichuan Wang, Jiazhong Hu, Ken Deng, Wenlan Chen, Yuqi Liu, Zhongchi Zhang, Zihan Zhao.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Phase diagram of atoms trapped in an elongated trap. The system’s behavior is governed by three pivotal [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) The quadratic coefficient [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Benchmarking modified Yang-Yang equation in different regimes with [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Breathing-mode frequencies through the crossover in [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 3
Figure 3. Figure 3: This region is used to determine the central [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Data for the measurements of breathing-mode frequencies. The blue stars correspond to measured [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. The atomic cloud width [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. The atom loss after the ramp procedure. The solid [PITH_FULL_IMAGE:figures/full_fig_p009_9.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. The 1D density distributions at optimized [PITH_FULL_IMAGE:figures/full_fig_p009_8.png] view at source ↗
read the original abstract

We generated a one-dimensional quantum gas confined in an elongated optical dipole trap instead of 2D optical lattices. The sample, comprising thousands of atoms, spans several hundred micrometers and allows for independent control of temperature and chemical potential using Feshbach resonance. This allows us to directly observe and investigate the spatial distribution and associated excitation of 1D quantum gas without any ensemble averaging. In this system, we observed that the dimension of 1D gas will be popped up into 3D due to strong interaction without changing any trapping confinement. During the dimensional crossover, we found that increasing the scattering length leads to the failure of 1D theories, including 1D mean field, Yang-Yang equation, and 1D hydrodynamics. Specifically, the modified Yang-Yang equation effectively describes this 1D system at temperatures beyond the 1D threshold, but it does not account for the effects of stronger interactions. Meanwhile, we observe two possible quantized plateaus of breathing-mode oscillation frequencies predicted by 1D and 3D hydrodynamics, corresponding to weak and strong interactions respectively. And there is also a universal crossover connecting two different regimes where both hydrodynamics fail.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 2 minor

Summary. The manuscript reports experimental realization of a 1D quantum gas of thousands of atoms in an elongated optical dipole trap (no 2D lattices), with independent control of temperature and chemical potential via Feshbach resonance. The central claim is that increasing the scattering length induces a dimensional crossover to 3D behavior without changing the trap confinement, manifested as failure of 1D mean-field, Yang-Yang, and hydrodynamic theories, effectiveness of a modified Yang-Yang equation only at moderate interactions, and the appearance of two quantized breathing-mode frequency plateaus (1D and 3D hydrodynamic predictions) connected by a universal crossover regime.

Significance. If the quantitative evidence supports the claims, the result would establish interaction-driven dimensional crossover as a distinct mechanism in quantum gases, clarifying the breakdown of 1D descriptions at strong coupling and the emergence of 3D hydrodynamics in elongated geometries. This could inform theoretical modeling of crossover regimes and experimental studies of low-dimensional many-body systems.

major comments (3)
  1. [Abstract] Abstract and main text: the claims that '1D theories fail' and that 'two possible quantized plateaus' appear rest on qualitative statements with no reported quantitative data, error bars, fitting procedures, or exclusion criteria for alternative explanations (e.g., temperature drift or trap anharmonicity). This prevents evaluation of whether the observed spatial distributions, excitations, and frequencies actually demonstrate the crossover.
  2. [Abstract / experimental methods] The central attribution of changes in spatial distribution, excitations, and breathing frequencies solely to increasing scattering length requires explicit demonstration that temperature, chemical potential, and trap parameters remain constant across the resonance sweep. No such quantitative controls or checks are described, leaving open the possibility that magnetic-field-dependent effects mimic the reported signatures.
  3. [Results / theory comparison] The statement that the modified Yang-Yang equation 'effectively describes this 1D system at temperatures beyond the 1D threshold, but it does not account for the effects of stronger interactions' is presented without comparison metrics, residuals, or parameter ranges, making it impossible to assess the regime boundaries or the claimed failure at strong interactions.
minor comments (2)
  1. [Methods] Clarify the precise definition and measurement protocol for the 'breathing-mode oscillation frequencies' and how the 1D and 3D hydrodynamic predictions are computed for the specific trap geometry and atom number.
  2. [Results] Provide the range of scattering lengths, temperatures, and densities explored, along with any figures showing raw data or fits.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments. Below we provide point-by-point responses to the major comments. We will revise the manuscript to incorporate additional quantitative details as outlined.

read point-by-point responses

  1. Referee: [Abstract] Abstract and main text: the claims that '1D theories fail' and that 'two possible quantized plateaus' appear rest on qualitative statements with no reported quantitative data, error bars, fitting procedures, or exclusion criteria for alternative explanations (e.g., temperature drift or trap anharmonicity). This prevents evaluation of whether the observed spatial distributions, excitations, and frequencies actually demonstrate the crossover.

    Authors: We agree that the presentation would benefit from more quantitative support. In the revised manuscript, we will include error bars on the breathing mode frequencies from multiple measurements, describe the fitting procedures used to extract the frequencies, and provide quantitative comparisons (e.g., percentage deviation from theoretical predictions) along with discussion of how alternative explanations like temperature drift were excluded based on independent temperature measurements. revision: yes

  2. Referee: [Abstract / experimental methods] The central attribution of changes in spatial distribution, excitations, and breathing frequencies solely to increasing scattering length requires explicit demonstration that temperature, chemical potential, and trap parameters remain constant across the resonance sweep. No such quantitative controls or checks are described, leaving open the possibility that magnetic-field-dependent effects mimic the reported signatures.

    Authors: We note that the experimental methods section describes independent control of temperature and chemical potential via the Feshbach resonance. To explicitly address this, we will add quantitative data in the revision showing the measured temperature and trap frequencies versus magnetic field, demonstrating their constancy within the relevant range. This will confirm that the observed effects are attributable to the change in scattering length. revision: yes

  3. Referee: [Results / theory comparison] The statement that the modified Yang-Yang equation 'effectively describes this 1D system at temperatures beyond the 1D threshold, but it does not account for the effects of stronger interactions' is presented without comparison metrics, residuals, or parameter ranges, making it impossible to assess the regime boundaries or the claimed failure at strong interactions.

    Authors: We will revise the results section to include explicit comparison metrics, such as the root-mean-square deviation between experimental density profiles and the modified Yang-Yang model predictions, and specify the parameter ranges (temperature and interaction strength) over which the agreement holds before deviations appear at stronger interactions. revision: yes

Circularity Check

0 steps flagged

No circularity: experimental data compared to independent external hydrodynamic predictions

full rationale

The paper reports direct experimental measurements of spatial distributions, excitations, and breathing frequencies in a tunable 1D quantum gas, then compares these observations to pre-existing 1D mean-field, Yang-Yang, 1D hydrodynamic, and 3D hydrodynamic models. No parameter is fitted to the reported data and then re-presented as a prediction, no load-bearing self-citation chain is invoked to justify the core claims, and the derivation chain consists of experimental control of scattering length followed by comparison against externally established theories. The work is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract introduces no new free parameters, axioms, or invented entities; the work rests on standard ultracold-atom techniques and existing hydrodynamic equations whose validity limits are being tested.

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