Far-from-equilibrium noise heating and laser cooling dynamics in radio-frequency Paul traps
arXiv:1808.07816 · doi:10.1103/PhysRevA.99.043421
Abstract
We study the stochastic dynamics of a particle in a periodically driven potential. For atomic ions trapped in radio-frequency Paul traps, noise heating and laser cooling typically act slowly in comparison with the unperturbed motion. These stochastic processes can be accounted for in terms of a probability distribution defined over the action variables, which would otherwise be conserved within the regular regions of the Hamiltonian phase space. We present a semiclassical theory of low-saturation laser cooling applicable from the limit of low-amplitude motion to large-amplitude motion, accounting fully for the time-dependent and anharmonic trap. We employ our approach to a detailed study of the stochastic dynamics of a single ion, drawing general conclusions regarding the nonequilibrium dynamics of laser-cooled trapped ions. We predict a regime of anharmonic motion in which laser cooling becomes diffusive (i.e., it is equally likely to cool the ion as it is to heat it), and can also turn into effective heating. This implies that a high-energy ion could be easily lost from the trap despite being laser cooled; however, we find that this loss can be counteracted using a laser detuning much larger than Doppler detuning.
arXiv comment23 pages, 7 figures
References in corpus (69)
- High-fidelity quantum logic gates using trapped-ion hyperfine qubits
- High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions
- Deterministic entanglement of two trapped ions
- Quantum spin dynamics and entanglement generation with hundreds of trapped ions
- Heating of trapped ions from the quantum ground state
- Ion-trap measurements of electric-field noise near surfaces
- Cavity cooling a single charged nanoparticle
- Power-Law Distributions for a Trapped Ion Interacting with a Classical Buffer Gas
- Nonlinear dynamics and millikelvin cavity-cooling of levitated nanoparticles
- Binary Mixtures of Particles with Different Diffusivities Demix
- Simplified motional heating rate measurements of trapped ions
- Precise determination of micromotion for trapped-ion optical clocks
- Fabrication and heating rate study of microscopic surface electrode ion traps
- Fluorescence during Doppler cooling of a single trapped atom
- Low temperature dynamics and laser-cooling of two-species Coulomb chains for quantum logic
- Cold Trapped Ions as Quantum Information Processors
- Testing Wavefunction Collapse Models using Parametric Heating of a Trapped Nanosphere
- Tunable spin-spin interactions and entanglement of ions in separate wells
- Two-temperature Langevin dynamics in a parabolic potential
- Double wells, scalar fields and quantum phase transitions in ions traps
- Observation of Three-dimensional Long-range Order in Smaller Ion Coulomb Crystals in an rf Trap
- Levitated Spinning Graphene
- Electron spin resonance from NV centers in diamonds levitating in an ion trap
- Controlling systematic frequency uncertainties at the level in linear Coulomb crystals
- Noise Analysis for High-Fidelity Quantum Entangling Gates in an Anharmonic Linear Paul Trap
- Modes of Oscillation in Radiofrequency Paul Traps
- Superstatistical energy distributions of an ion in an ultracold buffer gas
- Prospects for atomic clocks based on large ion crystals
- Precise Experimental Investigation of Eigenmodes in a Planar Ion Crystal
- Measurement of Ion Motional Heating Rates over a Range of Trap Frequencies and Temperatures
- Strong Coupling between a Single NV Spin and the Rotational Mode of Diamonds Levitating in an Ion Trap
- Diamonds levitating in a Paul trap under vacuum: measurements of laser-induced heating via NV center thermometry
- Scalable Loading of a Two-Dimensional Trapped-Ion Array
- Distance scaling of electric-field noise in a surface-electrode ion trap
- Trapping and manipulation of individual nanoparticles in a planar Paul trap
- A single-ion nonlinear mechanical oscillator
- Optical trapping of ion Coulomb crystals
- Two-temperature Brownian dynamics of a particle in a confining potential
- Single-ion, transportable optical atomic clocks
- Cooling of Levitated Graphene Nanoplatelets in High Vacuum
- Classical and Quantum Modes of Coupled Mathieu Equations
- Translational cooling and storage of protonated proteins in an ion trap at subkelvin temperatures
- Spectroscopy and Directed Transport of Topological Solitons in Crystals of Trapped Ions
- 3D Sisyphus Cooling of Trapped Ions
- Quantum Computation under Micromotion in a Planar Ion Crystal
- Probing Time Dilation in Coulomb Crystals in a high-precision Ion Trap
- Large 2D Coulomb crystals in a radio frequency surface ion trap
- Detection of Single Ion Spectra by Coulomb Crystal Heating
- Trapping ions with lasers
- High-precision force sensing using a single trapped ion
- Entanglement Generation Using Discrete Solitons in Coulomb Crystals
- Direct observation of atom-ion non-equilibrium sympathetic cooling
- Doppler cooling of a Coulomb crystal
- Doppler cooling thermometry of a multi-level ion in the presence of micromotion
- Controlling the potential landscape and normal modes of ion Coulomb crystals by a standing wave optical potential
- Ion dynamics in a linear radio-frequency trap with a single cooling laser
- Single-particle motional oscillator powered by laser
- Multipole Electrodynamic Ion Trap Geometries for Microparticle Confinement under Standard Ambient Temperature and Pressure Conditions
- High Fidelity Quantum Gates for Trapped Ions under Micromotion
- Asymptotic distributions of Periodically Driven Stochastic Systems
- Observation of superconductivity and surface noise using a single trapped ion as a field probe
- Method for Determination of Technical Noise Contributions to Ion Motional Heating
- Optomechanical many-body cooling using frustration
- Phase-space study of surface-electrode Paul traps: Integrable, chaotic, and mixed motions
- Energy distributions of an ion in a radiofrequency trap immersed in a buffer gas under the influence of additional external forces
- Suitability of linear quadrupole ion traps for large Coulomb crystals
- Experimental demonstration of an efficient number diagnostic for long 1D ion chains
- Tuning nonthermal distributions to thermal ones in time-dependent Paul traps
- The effect of atomic response time in the theory of Doppler cooling of trapped ions
Cited by in corpus (5)
- The physics and applications of strongly coupled plasmas levitated in electrodynamic traps
- Overdamped dynamics of a Brownian particle levitated in a Paul trap
- Investigations on Dynamical Stability in 3D Quadrupole Ion Traps
- Tuning nonthermal distributions to thermal ones in time-dependent Paul traps
- Can a periodically driven particle resist laser cooling and noise?