Quantum theory of laser cooling: Statistical description of the process dynamics

Il’enkov, R. Ya.; Prudnikov, O. N.; Taĭchenachev, A. V.; Yudin, V. I.

doi:10.1134/s106377611605006x

Cited by 5 publications

(4 citation statements)

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“…The exponential interpolation in equation ( 9) requires to numerically solve the dynamic equation (A.1), which, taking into account a large number n of Fock states, requires significant computational resources to solve for a 2n × 2n density matrix for a two-level atom. An alternative approach to derive the cooling time is given by the 'τ -matrix method' , which was previously introduced in [44,45] for cooling of neutral atoms. The τ -matrix is given by the time integral of the difference of the atomic density matrix ρ(t) and its steady state solution ρst = ρ(t…”

Section: The 'τ -Matrix Method' For Fast Simulation Of Cooling Dynamicsmentioning

confidence: 99%

“…As the density matrix ρ contains all information on external and internal states of the quantum system, the τ -matrix contains all information on temporal characteristics of the system. As an example for an observable A characterized by the quantum operator Â, the characteristic evolution time can be extracted from the τ -matrix by the following expression [45]:…”

Section: The 'τ -Matrix Method' For Fast Simulation Of Cooling Dynamicsmentioning

confidence: 99%

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Systematic study of tunable laser cooling for trapped-ion experiments

et al. 2023

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We report a comparative analysis of quenched sideband cooling in trapped ions. We introduce a theoretical approach for time-efficient simulation of the temporal cooling characteristics and derive the optimal conditions providing fast laser cooling into the ion’s motional ground state. The simulations were experimentally benchmarked with a single 172Yb+ ion confined in a linear Paul trap. Sideband cooling was carried out on a narrow quadrupole transition, enhanced with an additional clear-out laser for controlling the effective linewidth of the cooling transition. Quench cooling was thus for the first time studied in the resolved sideband, intermediate and semi-classical regime. We discuss the non-thermal distribution of Fock states during laser cooling and reveal its impact on time dilation shifts in optical atomic clocks.

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Section: The 'τ -Matrix Method' For Fast Simulation Of Cooling Dynamicsmentioning

confidence: 99%

Section: The 'τ -Matrix Method' For Fast Simulation Of Cooling Dynamicsmentioning

confidence: 99%

Systematic study of tunable laser cooling for trapped-ion experiments

et al. 2023

View full text Add to dashboard Cite

show abstract

“…The exponential interpolation in equation ( 9) requires to numerically solve the dynamic equations (A.1), which, taking into account a large number n of Fock states, requires significant computational resources to solve for a 2n × 2n density matrix for a two-level atom. An alternative approach to derive the cooling time is given by the "τ -matrix method", recently introduced in [41] for cooling of neutral atoms. The τ -matrix is given by the time integral of the difference of the atomic density matrix ρ(t) and its steady state solution ρst = ρ(t…”

Section: Quantum Model For Ion-light Interactionmentioning

confidence: 99%

Section: Quantum Model For Ion-light Interactionmentioning

confidence: 99%

Systematic study of tunable laser cooling for trapped-ion experiments

Kulosa¹,

Prudnikov²,

Vadlejch³

et al. 2023

Preprint

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We report on a comparative analysis of quenched sideband cooling in trapped ions. We introduce a theoretical approach for time-efficient simulation of the temporal cooling characteristics and derive the optimal conditions providing fast laser cooling into the ion's motional ground state. The simulations were experimentally benchmarked with a single 172 Yb + ion confined in a linear Paul trap. Sideband cooling was carried out on a narrow quadrupole transition, enhanced with an additional clearout laser for controlling the effective linewidth of the cooling transition. Quench cooling was thus for the first time studied in the resolved sideband, intermediate and semiclassical regime. We discuss the non-thermal distribution of Fock states during laser cooling and reveal its impact on time dilation shifts in optical atomic clocks.

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