Magic Conditions for Multiple Rotational States of Bialkali Molecules in Optical Lattices

Abstract

We investigate magic-wavelength trapping of ultracold bialkali molecules in the vicinity of weak optical transitions from the vibrational ground state of the X${}^1{\Sigma }^{+}$ potential to low-lying rovibrational states of the b${}^3{\Pi }_0$ potential, focussing our discussion on the ${}^{87}$Rb${}^{133}$Cs molecule in a magnetic field of $B=181$G. We show that a frequency window exists between two nearest neighbor vibrational poles in the dynamic polarizability where the trapping potential is "near magic" for multiple rotational states simultaneously. We show that the addition of a modest DC electric field of $E=0.13\text{kV}/\text{cm}$ leads to an exact magic-wavelength trap for the lowest three rotational states at a angular-frequency detuning of ${\Delta }_{v^{\prime }=0}=2\pi \times 218.22$\,GHz from the X${}^1{\Sigma }^{+}(v=0,J=0)\to$ b${}^3{\Pi }_0(v^{\prime }=0,J=1)$ transition. We derive a set of analytical criteria that must be fulfilled to ensure the existence of such magic frequency windows and present an analytic expression for the position of the frequency window in terms of a set of experimentally measurable parameters. These results should inform future experiments requiring long coherence times on multiple rotational transitions in ultracold polar molecules.

References in corpus (67)

• A High Phase-Space-Density Gas of Polar Molecules
• Quantum computation with trapped polar molecules
• Cold and Ultracold Molecules: Science, Technology, and Applications
• A toolbox for lattice spin models with polar molecules
• Realizing a lattice spin model with polar molecules
• Quantum-State Controlled Chemical Reactions of Ultracold KRb Molecules
• Laser cooling of a diatomic molecule
• Condensed Matter Theory of Dipolar Quantum Gases
• Bose-Einstein condensation in trapped dipolar gases
• 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 ${}^{23}$Na${}^{40}$K Molecules in their Absolute Ground State
• Magneto-optical trapping of a diatomic molecule
• Creation of ultracold ${}^{87}$RbCs molecules in the rovibrational ground state
• Quantum State Engineering and Precision Metrology using State-Insensitive Light Traps
• Quantum Gas of Deeply Bound Ground State Molecules
• Molecules cooled below the Doppler limit
• Ultracold Molecules in the Ro-Vibrational Triplet Ground State
• Creation of an ultracold gas of ground-state ${}^{23}{\mathrm{Na}}^{87}\mathrm{Rb}$ molecules
• Tunable Superfluidity and Quantum Magnetism with Ultracold Polar Molecules
• Schemes for robust quantum computation with polar molecules
• Quantum Phases of Cold Polar Molecules in 2D Optical Lattices
• Precision Test of Mass Ratio Variations with Lattice-Confined Ultracold Molecules
• Sisyphus Laser Cooling of a Polyatomic Molecule
• Controlling the hyperfine state of rovibronic ground-state polar molecules
• Long-lived dipolar molecules and Feshbach molecules in a 3D optical lattice
• Laser Cooling of Optically Trapped Molecules
• 3-D Magneto-Optical Trap of Yttrium Monoxide
• Cold polar molecules in 2D traps: Tailoring interactions with external fields for novel quantum phases
• Quantum magnetism with multicomponent polar molecules in an optical lattice
• Long-Lived Ultracold Molecules with Electric and Magnetic Dipole Moments
• Dipolar Exchange Quantum Logic Gate with Polar Molecules
• Creation of a low-entropy quantum gas of polar molecules in an optical lattice
• Quantum Magnetism with Polar Alkali Dimers
• Supersolid phase with cold polar molecules on a triangular lattice
• Observation of magnetically tunable Feshbach resonances in ultracold ${}^{23}$Na${}^{40}$K+${}^{40}$K collisions
• Ultracold polar molecules as qudits
• Bounds on fifth forces from precision measurements on molecules
• Ultracold molecules for quantum simulation: rotational coherences in CaF and RbCs
• The hyperfine energy levels of alkali metal dimers: ground-state polar molecules in electric and magnetic fields
• Topological phases in ultracold polar-molecule quantum magnets
• Design for a fountain of YbF molecules to measure the electron's electric dipole moment
• Far from equilibrium quantum magnetism with ultracold polar molecules
• Anisotropic Polarizability of Ultracold Polar ${}^{40}$K${}^{87}$Rb Molecules
• Modeling the adiabatic creation of ultracold, polar ${}^{23}\mathrm{N}{\mathrm{a}}^{40}\mathrm{K}$ molecules
• Molecular lattice clock with long vibrational coherence
• A robust entangling gate for polar molecules using magnetic and microwave fields
• Quantum Engineering of a Low-Entropy Gas of Heteronuclear Bosonic Molecules in an Optical Lattice
• Excitations and Stripe Phase Formation in a 2D Dipolar Bose Gas with Tilted Polarization
• QED effects in molecules: test on rotational quantum states of H${}_2$
• Coherent Microwave Control of Ultracold ${}^{23}$Na${}^{40}$K Molecules
• Molecular assembly of ground state cooled single atoms
• Controlling Polar Molecules in Optical Lattices
• Implementation of Quantum Logic Gates Using Polar Molecules in Pendular States
• Extending rotational coherence of interacting polar molecules in a spin-decoupled magic trap
• Controlling the Rotational and Hyperfine State of Ultracold ${}^{87}$Rb${}^{133}$Cs Molecules
• Kitaev honeycomb and other exotic spin models with polar molecules
• Electric field-dependent dynamic polarizability and "magic" conditions for optical trapping of polar molecules
• From Classical to Quantum Glasses with Ultracold Polar Molecules
• Infrared-dressed entanglement of cold open-shell polar molecules for universal matchgate quantum computing
• High-resolution Internal State Control of Ultracold ${}^{23}$Na${}^{87}$Rb Molecules
• Tune-out and magic wavelengths for ground-state ${}^{23}$Na${}^{40}$K molecules
• AC Stark Effect in Ultracold Polar RbCs Molecules
• Optical lattice clocks with weakly bound molecules
• Coherent Manipulation of the Internal State of Ultracold ${}^{87}$Rb${}^{133}$Cs Molecules with Multiple Microwave Fields
• Pendular trapping conditions for ultracold polar molecules enforced by external electric fields
• External field control of spin-dependent rotational decoherence of ultracold polar molecules

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• Preparation of ${}^{87}$Rb and ${}^{133}$Cs in the motional ground state of a single optical tweezer
• Long distance optical conveyor-belt transport of ultracold ${}^{133}$Cs and ${}^{87}$Rb atoms
• Long-lived multilevel coherences and spin-1 dynamics encoded in the rotational states of ultracold molecules
• $D_s^{\ast }\to \varphi$ helicity form factors and the exclusive weak decays
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