Effective potential and scattering length of shielding polar molecules
arXiv:2505.22122 · doi:10.1103/dw1b-g5cs
Abstract
We investigate the effective potential and scattering length of ultracold polar molecules under different shielding techniques. First, we derive the effective potential for two polar molecules in the presence of an elliptical polarization field, combined elliptical and linear polarization fields, and combined elliptical polarization and static fields. The effective potential is then expressed as a sum of a zero-range contact interaction and a long-range dipole-dipole interaction under the Born approximation. We find that the first two shielding methods only partially suppress attractive interactions, while the second method allows for the construction of bound states with different polarization shapes. The last shielding method can achieve complete cancellation of residual attractive forces, which is particularly significant for maintaining quantum degeneracy in ultracold dipolar systems. Our results provide a comprehensive understanding of the effective potential and scattering length of shielding polar molecules, which is crucial for studying many-body physics in ultracold dipolar systems.
15 pages, 3 figures
References in corpus (28)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- A High Phase-Space-Density Gas of Polar Molecules
- Ultracold dense samples of dipolar RbCs molecules in the rovibrational and hyperfine ground state
- Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
- Ultracold Dipolar Gas of Fermionic NaK Molecules in their Absolute Ground State
- Creation of ultracold RbCs molecules in the rovibrational ground state
- Cold polar molecules in 2D traps: Tailoring interactions with external fields for novel quantum phases
- Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules
- Evaporation of microwave-shielded polar molecules to quantum degeneracy
- Observation of Bose-Einstein Condensation of Dipolar Molecules
- Resonant collisional shielding of reactive molecules using electric fields
- Repulsive shield between polar molecules
- Dipolar evaporation of reactive molecules to below the Fermi temperature
- Tuning of dipolar interactions and evaporative cooling in a three-dimensional molecular quantum gas
- Direct observation of a magnetic field-induced Wigner crystal
- Collisionally Stable Gas of Bosonic Dipolar Ground State Molecules
- Microwave shielding of bosonic NaRb molecules
- Field-linked resonances of polar molecules
- Observation of vortices in a dipolar supersolid
- Ultracold field-linked tetratomic molecules
- Effective potential and superfluidity of microwave-dressed polar molecules
- Observation of generalized t-J spin dynamics with tunable dipolar interactions
- Resonant and first-order dipolar interactions between ultracold molecules in static and microwave electric fields
- Electro-association of ultracold dipolar molecules into tetramer field-linked states
- Double Microwave Shielding
- Three-Body Recombination of Ultracold Microwave-Shielded Polar Molecules
- Scattering length and effective range of microscopic two-body potentials
- Effective anisotropic interaction potentials for pairs of ultracold molecules shielded by a static electric field