Can a periodically driven particle resist laser cooling and noise?

Maitra, Ananyo; Leibfried, D.; Ullmo, Denis; Landa, H.

doi:10.1103/physrevresearch.1.012012

Cited by 6 publications

(4 citation statements)

References 55 publications

(72 reference statements)

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“…For increased detuning, the limits of this region can be pushed noticeably up. A detailed study of this regime of high amplitude motion could prove important for optimizing ion loading, and we will examine some aspects of ion dynamics subject to a large laser detuning in [34].…”

Section: Cooling In An Anharmonic Paul Trap Potentialmentioning

confidence: 99%

Far-from-equilibrium noise-heating and laser-cooling dynamics in radio-frequency Paul traps

et al. 2019

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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.

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Section: Cooling In An Anharmonic Paul Trap Potentialmentioning

confidence: 99%

Far-from-equilibrium noise-heating and laser-cooling dynamics in radio-frequency Paul traps

et al. 2019

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“…Thus, a detailed study of the stochastic dynamics of a single ion is achieved. Another paper investigates a single atomic ion confined in a time-dependent periodic anharmonic potential, in presence of stochastic laser cooling [213]. It is demonstrated how the competition between the energy gain from the time-dependent drive and damping leads to the stabilization of stochastic limit cycles.…”

Section: Chaosmentioning

confidence: 99%

The physics and applications of strongly coupled plasmas levitated in electrodynamic traps

Mihalcea¹,

Филинов²,

Syrovatka³

et al. 2019

Preprint

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Charged (nano)particles confined in electrodynamic traps can evolve into strongly correlated Coulomb systems, which are the subject of current investigation. Exciting physical phenomena associated to Coulomb systems have been reported such as autowave generation, phase transitions, system self-locking at the ends of the linear Paul trap, self-organization in layers, or pattern formation and scaling. The dynamics of ordered structures consisting of highly nonideal similarly charged nanoparticles, with coupling parameter of the order Γ = 10 8 is investigated. This approach enables us to study the interaction of nanoparticle structures in presence and in absence of the neutralizing plasma background, as well as to investigate various types of phenomena and physical forces these structures experience. Applications of electrodynamic levitation for mass spectrometry, including containment and study of single aerosols and nanoparticles are reviewed, with an emphasis on state of the art experiments and techniques, as well as future trends. Late experimental data suggest that inelastic scattering can be successfully applied to the detection of biological particles such as pollen, bacteria, aerosols, traces of explosives or synthetic polymers.

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“…V B that such a low-detuning laser may not be efficient in cooling the ion at the presence of stray electric fields and large excess micromotion. However, it should be noted that a laser beam with a large detuning could actually capture the ion in a large amplitude motion away from the trap centre, when chaotic motion becomes significant in the phase space [21].…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Tuning nonthermal distributions to thermal ones in time-dependent Paul traps

Landa

2019

Phys. Rev. A

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We study the probability distribution of an atomic ion being laser-cooled in a periodically-driven Paul trap using a Floquet approach to the semiclassical photon scattering dynamics. We show that despite the microscopic nonequilibrium forces, a stationary thermal-like exponential distribution can be obtained in the Hamiltonian action, or equivalently in the number of quanta (phonons) of the motion linearized about the zero of the potential. At the presence of additional stray electric fields, the ion is pushed from the origin of the potential and set into a large-amplitude driven oscillation, and above a threshold amplitude of such "excess micromotion", the action distribution of excitations about the driven oscillation broadens and becomes distinctly nonthermal. We find that by a proper choice of the laser detuning the distribution can be made exponential again, with a mean phonon number close to that of the Doppler cooling limit. We derive a relation allowing to deduce just from the experimentally observable photon scattering rate both the required detuning for optimal cooling and the final mean phonon number. These results are important for quantum information processing and other applications, and in particular the derived approach can be applied to crystals of trapped ions in planar configurations, where the driven motion of ions is unavoidable.

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Can a periodically driven particle resist laser cooling and noise?

Cited by 6 publications

References 55 publications

Far-from-equilibrium noise-heating and laser-cooling dynamics in radio-frequency Paul traps

Far-from-equilibrium noise-heating and laser-cooling dynamics in radio-frequency Paul traps

The physics and applications of strongly coupled plasmas levitated in electrodynamic traps

Tuning nonthermal distributions to thermal ones in time-dependent Paul traps

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