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Exploring supersolids of single-microwave shielded molecules via exact and mean-field theories

Arnone Cardinale, Tiziano LU orcid ; Bland, Thomas LU orcid and Reimann, Stephanie M. LU (2026) In Communications Physics 9(1).
Abstract

Ultracold polar molecular gases provide a powerful platform for exploring quantum many-body physics with strong, long-range, and anisotropic interactions. In this work, we develop an extended Gross-Pitaevskii approach tailored to bosonic dipolar molecules under single-microwave shielding, incorporating their effective interactions and adapting the quantum fluctuation corrections. We benchmark this beyond-mean-field theory against exact path-integral Quantum Monte Carlo simulations. Focusing on the regime of positive scattering lengths, we find excellent agreement across a range of quantum phases, including superfluid, supersolid, and droplet states. We show that elliptic microwave polarization induces anisotropic superfluidity with... (More)

Ultracold polar molecular gases provide a powerful platform for exploring quantum many-body physics with strong, long-range, and anisotropic interactions. In this work, we develop an extended Gross-Pitaevskii approach tailored to bosonic dipolar molecules under single-microwave shielding, incorporating their effective interactions and adapting the quantum fluctuation corrections. We benchmark this beyond-mean-field theory against exact path-integral Quantum Monte Carlo simulations. Focusing on the regime of positive scattering lengths, we find excellent agreement across a range of quantum phases, including superfluid, supersolid, and droplet states. We show that elliptic microwave polarization induces anisotropic superfluidity with direction-dependent sound velocities along each spatial axis—an effect absent in atomic dipolar gases. A quasi-one-dimensional theory captures roton softening and predicts roton instabilities tunable via ellipticity. While most experiments rely on double-microwave shielding to reduce losses, we demonstrate that single-shielded molecules already support rich and tunable many-body behavior. Our framework is readily extendable to the double-shielded case. This work establishes a versatile theoretical foundation for ultracold molecular gases and opens the door to future studies with more advanced shielding protocols.

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author
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organization
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type
Contribution to journal
publication status
published
subject
in
Communications Physics
volume
9
issue
1
article number
191
publisher
Nature Publishing Group
external identifiers
  • scopus:105040679373
ISSN
2399-3650
DOI
10.1038/s42005-026-02706-4
language
English
LU publication?
yes
id
a5942dab-e201-455e-a0b8-ea7303e3f4e8
date added to LUP
2026-07-02 09:27:53
date last changed
2026-07-02 09:28:25
@article{a5942dab-e201-455e-a0b8-ea7303e3f4e8,
  abstract     = {{<p>Ultracold polar molecular gases provide a powerful platform for exploring quantum many-body physics with strong, long-range, and anisotropic interactions. In this work, we develop an extended Gross-Pitaevskii approach tailored to bosonic dipolar molecules under single-microwave shielding, incorporating their effective interactions and adapting the quantum fluctuation corrections. We benchmark this beyond-mean-field theory against exact path-integral Quantum Monte Carlo simulations. Focusing on the regime of positive scattering lengths, we find excellent agreement across a range of quantum phases, including superfluid, supersolid, and droplet states. We show that elliptic microwave polarization induces anisotropic superfluidity with direction-dependent sound velocities along each spatial axis—an effect absent in atomic dipolar gases. A quasi-one-dimensional theory captures roton softening and predicts roton instabilities tunable via ellipticity. While most experiments rely on double-microwave shielding to reduce losses, we demonstrate that single-shielded molecules already support rich and tunable many-body behavior. Our framework is readily extendable to the double-shielded case. This work establishes a versatile theoretical foundation for ultracold molecular gases and opens the door to future studies with more advanced shielding protocols.</p>}},
  author       = {{Arnone Cardinale, Tiziano and Bland, Thomas and Reimann, Stephanie M.}},
  issn         = {{2399-3650}},
  language     = {{eng}},
  number       = {{1}},
  publisher    = {{Nature Publishing Group}},
  series       = {{Communications Physics}},
  title        = {{Exploring supersolids of single-microwave shielded molecules via exact and mean-field theories}},
  url          = {{http://dx.doi.org/10.1038/s42005-026-02706-4}},
  doi          = {{10.1038/s42005-026-02706-4}},
  volume       = {{9}},
  year         = {{2026}},
}