Confinement-induced bound state and effective potential for microwave-shielded ultracold molecules
Abstract
We investigate the bound state and effective potential of microwave-shielded ultracold molecules under longitudinal confinement, which effectively creates a quasi-two-dimensional (q2D) geometry. We find that the longitudinal confinement facilitates bound-state formation in both bosonic and fermionic molecules, leading to confinement-induced bound states that are absent in free space. To describe these bound states, we establish an effective 2D potential by incorporating the full interaction effect along the longitudinal direction. Compared with other simplified 2D potentials, the effective potential accurately predicts the binding energies of ultracold molecules over a much broader parameter regime of microwave coupling and confinement strength. Remarkably, it can even predict deep bound states with binding energies well exceeding the confinement frequency. By establishing this effective potential, our work paves the way for efficiently exploring the rich low-dimensional physics of microwave-shielded ultracold molecules.
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BibTeX
@misc{zhang2026confinementinduced,
title = {{Confinement-induced bound state and effective potential for microwave-shielded ultracold molecules}},
author = {Linyi Zhang and Xiaoling Cui},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07230},
eprint = {2611.07230},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07230},
}
RIS
TY - UNPB
TI - Confinement-induced bound state and effective potential for microwave-shielded ultracold molecules
AU - Linyi Zhang
AU - Xiaoling Cui
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.07230
UR - https://arxiv.org/abs/2611.07230
AB - We investigate the bound state and effective potential of microwave-shielded ultracold molecules under longitudinal confinement, which effectively creates a quasi-two-dimensional (q2D) geometry. We find that the longitudinal confinement facilitates bound-state formation in both bosonic and fermionic molecules, leading to confinement-induced bound states that are absent in free space. To describe these bound states, we establish an effective 2D potential by incorporating the full interaction effect along the longitudinal direction. Compared with other simplified 2D potentials, the effective potential accurately predicts the binding energies of ultracold molecules over a much broader parameter regime of microwave coupling and confinement strength. Remarkably, it can even predict deep bound states with binding energies well exceeding the confinement frequency. By establishing this effective potential, our work paves the way for efficiently exploring the rich low-dimensional physics of microwave-shielded ultracold molecules.
ER -