---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '22304'
abstract:
- lang: eng
  text: We derive an analog of the Lellouch-Lüscher (LL) relation for few-body bosonic
    systems, linking few-body scattering loss rates to the energies and widths of
    the corresponding harmonically trapped few-body states. Three-body numerical simulations
    show that the LL relation applies across a broad range of interaction strengths
    and energies and allows the determination of scattering rates within a single
    partial wave. Our Letter establishes a robust theoretical framework for understanding
    the role of the finite-volume effect in few-body observables in optical lattice
    and tweezer experiments, enabling precise determination of multibody scattering
    rates.
acknowledgement: "This work was supported by the\r\nBaden-Württemberg Stiftung through
  the Internationale\r\nSpitzenforschung program (BWST, Contract\r\nNo. ISF2017-061)
  and by the German Research\r\nFoundation (DFG, Deutsche Forschungsgemeinschaft,\r\nContract
  No. 399903135). The authors acknowledge support\r\nby the state of Baden-Württemberg
  through bwHPC\r\nand the German Research Foundation (DFG) through\r\nGrant No. INST
  40/575-1 FUGG (JUSTUS 2 cluster).\r\nJ. H. D and J. P. D. acknowledge funding by
  Q-DYNAMO\r\n(EU HORIZON-MSCA-2022- SE-01) within Project\r\nNo. 101131418. J. P.
  D. also acknowledges partial support\r\nfrom the U.S. National Science Foundation
  (PHY-\r\n2308791/PHYS-2452751) and the Office of Naval\r\nResearch (ONR) Grant No.
  N00014-21-1-2594."
article_number: '203401'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Jinglun
  full_name: Li, Jinglun
  id: ff19510a-0d2c-11ef-b018-c338ad2f4325
  last_name: Li
- first_name: Paul S.
  full_name: Julienne, Paul S.
  last_name: Julienne
- first_name: Johannes Hecker
  full_name: Denschlag, Johannes Hecker
  last_name: Denschlag
- first_name: José P.
  full_name: D’Incao, José P.
  last_name: D’Incao
citation:
  ama: Li J, Julienne PS, Denschlag JH, D’Incao JP. Lellouch-Lüscher relation for
    ultracold few-atom systems under confinement. <i>Physical Review Letters</i>.
    2026;136(20). doi:<a href="https://doi.org/10.1103/pzlp-7k8d">10.1103/pzlp-7k8d</a>
  apa: Li, J., Julienne, P. S., Denschlag, J. H., &#38; D’Incao, J. P. (2026). Lellouch-Lüscher
    relation for ultracold few-atom systems under confinement. <i>Physical Review
    Letters</i>. American Physical Society. <a href="https://doi.org/10.1103/pzlp-7k8d">https://doi.org/10.1103/pzlp-7k8d</a>
  chicago: Li, Jinglun, Paul S. Julienne, Johannes Hecker Denschlag, and José P. D’Incao.
    “Lellouch-Lüscher Relation for Ultracold Few-Atom Systems under Confinement.”
    <i>Physical Review Letters</i>. American Physical Society, 2026. <a href="https://doi.org/10.1103/pzlp-7k8d">https://doi.org/10.1103/pzlp-7k8d</a>.
  ieee: J. Li, P. S. Julienne, J. H. Denschlag, and J. P. D’Incao, “Lellouch-Lüscher
    relation for ultracold few-atom systems under confinement,” <i>Physical Review
    Letters</i>, vol. 136, no. 20. American Physical Society, 2026.
  ista: Li J, Julienne PS, Denschlag JH, D’Incao JP. 2026. Lellouch-Lüscher relation
    for ultracold few-atom systems under confinement. Physical Review Letters. 136(20),
    203401.
  mla: Li, Jinglun, et al. “Lellouch-Lüscher Relation for Ultracold Few-Atom Systems
    under Confinement.” <i>Physical Review Letters</i>, vol. 136, no. 20, 203401,
    American Physical Society, 2026, doi:<a href="https://doi.org/10.1103/pzlp-7k8d">10.1103/pzlp-7k8d</a>.
  short: J. Li, P.S. Julienne, J.H. Denschlag, J.P. D’Incao, Physical Review Letters
    136 (2026).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: "The data that support the findings of this article are
  openly available 10.5281/zenodo.\r\n19690988"
date_created: 2026-07-13T10:50:49Z
date_published: 2026-05-19T00:00:00Z
date_updated: 2026-07-14T06:33:11Z
day: '19'
ddc:
- '530'
department:
- _id: MiLe
doi: 10.1103/pzlp-7k8d
external_id:
  arxiv:
  - '2511.11906'
file:
- access_level: open_access
  checksum: 745836cbb77c479a3344b477bbbd7de9
  content_type: application/pdf
  creator: dernst
  date_created: 2026-07-14T06:31:13Z
  date_updated: 2026-07-14T06:31:13Z
  file_id: '22330'
  file_name: 2026_PhysicalReviewLetters_Li.pdf
  file_size: 643101
  relation: main_file
  success: 1
file_date_updated: 2026-07-14T06:31:13Z
fulldoi: https://doi.org/10.1103/pzlp-7k8d
has_accepted_license: '1'
intvolume: '       136'
issue: '20'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '05'
oa: 1
oa_version: Published Version
publication: Physical Review Letters
publication_identifier:
  eissn:
  - 1079-7114
  issn:
  - 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
researchdata_availability: yes
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Lellouch-Lüscher relation for ultracold few-atom systems under confinement
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 136
year: '2026'
...