Long-range additive and nonadditive potentials in a hybrid system: Ground state atom, excited state atom, and ion

Abstract

We report a theoretical study on the long-range additive and nonadditive potentials for a three-body hybrid atom-atom-ion system composed of one ground $S$ state Li atom, one excited $P$ state Li atom and one ground $S$ state Li${}^{+}$ ion, Li($2{}^{2}S$)-Li($2{}^{2}P$)-Li${}^{+}(1{}^{1}S$). The interaction coefficients are evaluated with highly accurate wave functions calculated variationally in Hylleraas coordinates. For this hybrid system the three-body nonadditive collective interactions (appearing in second-order) induced by the energy degeneracy and enhanced by the induction effect of the Li${}^{+}$ ion through the internal electric field can be strong and even stronger than the two-body additive interactions at the same order. We find that for particular geometries the two-body additive interactions of the system sum to zero leaving only three-body nonadditive collective interactions making the present system potentially a platform to explore quantum three-body collective effects. We also extract first-principles leading coefficients of the long-range electrostatic, induction, and dispersion energies of Li${}_2^{+}$ electronic states correlating to Li($2{}^{2}P$)-Li${}^{+}(1{}^{1}S$), which until now were not available in the literature. The results should be especially valuable for the exploration of schemes to create trimers with ultracold atoms and ions in optical lattices.

References in corpus (27)

• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Condensed Matter Theory of Dipolar Quantum Gases
• Dipolar collisions of polar molecules in the quantum regime
• Three-body interactions with cold polar molecules
• Cold hybrid ion-atom systems
• Atomic three-body loss as a dynamical three-body interaction
• Direct probe of anisotropy in atom-molecule collisions via quantum scattering resonances
• Kinetics and Dynamics of the S(^1D_2) + H_2 \to SH + H Reaction at Very Low Temperatures and Collision Energies
• Imaging the onset of the resonance regime in low-energy NO-He collisions
• Synthesis of mixed hypermetallic oxide BaOCa${}^{+}$ from laser-cooled reagents in an atom-ion hybrid trap
• Pfaffian-like ground state for 3-body-hard-core bosons in 1D lattices
• Non-relativistic ab initio calculations for $2^{2}S$, $2^{2}P$ and $3^{2}D$ lithium isotopes: Applications to polarizabilities and dispersion interactions
• Universal Loss Dynamics in a Unitary Bose Gas
• Interactions and chemical reactions in ionic alkali-metal and alkaline-earth-metal diatomic $A{B}^{+}$ and triatomic $A_2{B}^{+}$ systems
• Long-range interactions in the ozone molecule: spectroscopic and dynamical points of view
• Theory of long-range ultracold atom-molecule photoassociation
• Three-body bound states in dipole-dipole interacting Rydberg atoms
• First detection of the carbon chain molecules 13CCC and C13CC towards SgrB2(M)
• Photoassociation of a cold atom-molecule pair II: second order perturbation approach
• Photoassociation of a cold atom-molecule pair: long-range quadrupole-quadrupole interactions
• Long-range interactions between ultracold atoms and molecules including atomic spin-orbit
• Rotational state-changing collisions between N${}_2^{+}$ and Rb at low energies
• $C_6$ coefficients for interacting Rydberg atoms and alkali-metal dimers
• Resonance-enhanced collective effect in a triangle arrangement of Rydberg atoms with anisotropic interactions
• Calculations of long-range three-body interactions for Li($2{}^{2}S$)-Li($2{}^{2}S$)-Li($2{}^{2}P$)
• Calculations of long-range three-body interactions for He($n_0{}^{\lambda }S$)-He($n_0{}^{\lambda }S$)-He($n_0^{\prime }{}^{\lambda }L$)
• Multichannel quantum-defect theory for anisotropic interactions

Cited by in corpus (1)

• Cesium atoms in cryogenic argon matrix