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PreprintCC BY 4.0arXiv

Precision tests of nonlinear and stochastic modifications of quantum mechanics with a 1D quantum gas

Abstract

We propose a cold-atom platform for precision tests of nonlinear and stochastic modifications to the Schrödinger equation, utilizing strongly correlated ultracold 133Cs in a uniform array of one-dimensional tubes formed by a two-dimensional optical lattice. Objective collapse models can be tested using the metastable super-Tonks-Girardeau gas. Based on a calibration test performed on our existing experimental setup, we project a sensitivity to the Continuous Spontaneous Localization collapse rate of λc ≃ 1.8×10−11 s−1 at a correlation length of rc = 10−7m. This would establish a new bound an order of magnitude below the strongest existing constraint that remains robust against a cutoff in the collapse noise spectrum. Additionally, we can test deterministic nonlinear modifications by probing the symmetry-protected breathing mode frequency of the Tonks-Girardeau gas in harmonic traps. Crucial to both measurement schemes is the capability to independently tune the atom number and the linear density. By exploiting the different scaling laws associated with these parameters, we can cleanly distinguish genuine new physics signals from technical systematics.

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BibTeX
@misc{zeng2026precision,
  title = {{Precision tests of nonlinear and stochastic modifications of quantum mechanics with a 1D quantum gas}},
  author = {Yi Zeng and Angelo Bassi and Grigori E. Astrakharchik and Yanliang Guo and Manuele Landini and Hanns-Christoph Nägerl},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07195},
  eprint = {2609.07195},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07195},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Precision tests of nonlinear and stochastic modifications of quantum mechanics with a 1D quantum gas
AU  - Yi Zeng
AU  - Angelo Bassi
AU  - Grigori E. Astrakharchik
AU  - Yanliang Guo
AU  - Manuele Landini
AU  - Hanns-Christoph Nägerl
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.07195
UR  - https://arxiv.org/abs/2609.07195
AB  - We propose a cold-atom platform for precision tests of nonlinear and stochastic modifications to the Schrödinger equation, utilizing strongly correlated ultracold ^133Cs in a uniform array of one-dimensional tubes formed by a two-dimensional optical lattice. Objective collapse models can be tested using the metastable super-Tonks-Girardeau gas. Based on a calibration test performed on our existing experimental setup, we project a sensitivity to the Continuous Spontaneous Localization collapse rate of λ_c ≃ 1.8×10^−11 s^−1 at a correlation length of r_c = 10^−7m. This would establish a new bound an order of magnitude below the strongest existing constraint that remains robust against a cutoff in the collapse noise spectrum. Additionally, we can test deterministic nonlinear modifications by probing the symmetry-protected breathing mode frequency of the Tonks-Girardeau gas in harmonic traps. Crucial to both measurement schemes is the capability to independently tune the atom number and the linear density. By exploiting the different scaling laws associated with these parameters, we can cleanly distinguish genuine new physics signals from technical systematics.
ER  -