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Universal relations for hybridized s- and p-wave interactions from spin-orbital coupling

Qin, Fang and Zhang, Pengfei (2020) Universal relations for hybridized s- and p-wave interactions from spin-orbital coupling. Physical Review A, 102 (4). Art. No. 043321. ISSN 2469-9926. https://resolver.caltech.edu/CaltechAUTHORS:20201020-123849274

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Abstract

In this work, we study the universal relations for one-dimensional spin-orbital-coupled fermions near both s- and p-wave resonances using effective field theory. Since the spin-orbital coupling mixes different partial waves, a contact matrix is introduced to capture the nontrivial correlation between dimers. We find the signature of the spin-orbital coupling appears at the leading order for the off-diagonal components of the momentum distribution matrix, which is proportional to 1/q³ (q is the relative momentum). We further derive the large frequency behavior of the Raman spectroscopy, which serves as an independent measurable quantity for contacts. Finally, we give an explicit example of contacts by considering a two-body problem.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physreva.102.043321DOIArticle
https://arxiv.org/abs/2005.04997arXivDiscussion Paper
ORCID:
AuthorORCID
Qin, Fang0000-0002-6386-8056
Zhang, Pengfei0000-0002-7408-0918
Additional Information:© 2020 American Physical Society. Received 15 May 2020; accepted 28 September 2020; published 19 October 2020. We thank Xiaoling Cui and Shi-Guo Peng for helpful discussions. This work is supported by the National Natural Science Foundation of China (Grant No. 11404106). F.Q. acknowledges support from the project funded by the China Postdoctoral Science Foundation (Grants No. 2019M662150 and No. 2020T130635) and the SUSTech Presidential Postdoctoral Fellowship.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
National Natural Science Foundation of China11404106
China Postdoctoral Science Foundation2019M662150
China Postdoctoral Science Foundation2020T130635
Southern University of Science and Technology (SUSTech)UNSPECIFIED
Issue or Number:4
Record Number:CaltechAUTHORS:20201020-123849274
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201020-123849274
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106171
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:20 Oct 2020 20:44
Last Modified:20 Oct 2020 20:44

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