Laser cooling trapped-ion crystal modes beyond the Lamb-Dicke regime
- URL: http://arxiv.org/abs/2411.18818v1
- Date: Wed, 27 Nov 2024 23:42:53 GMT
- Title: Laser cooling trapped-ion crystal modes beyond the Lamb-Dicke regime
- Authors: John P. Bartolotta, Brian Estey, Michael Foss-Feig, David Hayes, Christopher N. Gilbreth,
- Abstract summary: We construct a non-perturbative, semiclassical method for predicting the energy-dependent cooling dynamics of trapped-ion crystals.
Our method complements fully quantum models by allowing for fast and accurate predictions of laser-cooling dynamics at much higher energy scales.
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- Abstract: Laser cooling methods for trapped ions are most commonly studied at low energies, i.e., in the Lamb-Dicke regime. However, ions in experiments are often excited to higher energies for which the Lamb-Dicke approximation breaks down. Here we construct a non-perturbative, semiclassical method for predicting the energy-dependent cooling dynamics of trapped-ion crystals with potentially many internal levels and motional modes beyond the Lamb-Dicke regime. This method allows accurate and efficient modeling of a variety of interesting phenomena, such as the breakdown of EIT cooling at high energies and the simultaneous cooling of multiple high-temperature modes. We compare its predictions both to fully-quantum simulations and to experimental data for a broadband EIT cooling method on a Raman $S$-$D$ transition in $^{138}$Ba${^+}$. We find the method can accurately predict cooling rates over a wide range of energies relevant to trapped ion experiments. Our method complements fully quantum models by allowing for fast and accurate predictions of laser-cooling dynamics at much higher energy scales.
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