Experimental and theoretical investigation of a multi-mode cooling scheme using multiple EIT resonances

Abstract

We introduce and demonstrate double-bright electromagnetically induced transparency (D-EIT) cooling as a novel approach to EIT cooling. By involving an additional ground state, two bright states can be shifted individually into resonance for cooling of motional modes of frequencies that may be separated by more than the width of a single EIT cooling resonance. This allows three-dimensional ground state cooling of a ${}^{40}$Ca${}^{+}$ ion trapped in a linear Paul trap with a single cooling pulse. Measured cooling rates and steady-state mean motional quantum numbers for this D-EIT cooling are compared with those of standard EIT cooling as well as concatenated standard EIT cooling pulses for multi-mode cooling. Experimental results are compared to full density matrix calculations. We observe a failure of the theoretical description within the Lamb-Dicke regime that can be overcome by a time-dependent rate theory. Limitations of the different cooling techniques and possible extensions to multi-ion crystals are discussed.

18 pages, 13 figures. We have decided to merge the contents of our submission arXiv:1711.00738 with this paper into one comprehensive work. New title

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Cited by in corpus (21)

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• Controlling systematic frequency uncertainties at the $10^{-19}$ level in linear Coulomb crystals
• Towards a Transportable Aluminium Ion Quantum Logic Optical Clock
• Polarization-gradient cooling of 1D and 2D ion Coulomb crystals
• Double-EIT Ground-State Cooling of Stationary Two-Dimensional Ion Lattices
• Quantum computation and simulation with vibrational modes of trapped ions
• Finite temperature spectrum at the symmetry-breaking linear-zigzag transition
• Fast Cooling of Trapped Ion in Strong Sideband Coupling Regime
• Electromagnetically-Induced-Transparency Cooling of High-Nuclear-Spin Ions
• Nanofriction and motion of topological defects in self-organized ion Coulomb crystals
• Entangling gates for trapped-ion quantum computation and quantum simulation
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• Dark-state sideband cooling in an atomic ensemble
• Superior dark-state cooling via nonreciprocal couplings in trapped atoms
• Quadrupole transitions and quantum gates protected by continuous dynamic decoupling
• Three-laser coherent population trapping in a multi-lambda system: theory, experiment and applications
• Steady state phonon occupation of EIT cooling: higher order calculations
• Production of Fock Mixtures in Trapped Ions for Motional Metrology
• Multilevel Electromagnetically Induced Transparency Cooling
• Efficient Three-Dimensional Sub-Doppler Cooling of ${}^{40}$Ca${}^{+}$ in a Penning Trap
• Formation of Two-Ion Crystals by Injection from a Paul-Trap Source into a High-Magnetic-Field Penning Trap