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Journal of Physics Conference Series

Study of laser cooling in deep optical lattice: two-level quantum model

Прудников Олег Николаевич, R. Ya. Ilenkov, А. В. Тайченачев, Valeriy I. Yudin, Ernst Maria Rasel

Published Jan 1, 2018• 0 citations
Publisher

Abstract

We study a possibility of laser cooling of 24 Mg atoms in deep optical lattice formed by intense off-resonant laser field in a presence of cooling field resonant to narrow (3 s 3 s ) 1 S 0 → (3 s 3 p ) 3 P 1 (λ = 457 nm) optical transition. For description of laser cooling with taking into account quantum recoil effects we consider two quantum models. The first one is based on direct numerical solution of quantum kinetic equation for atom density matrix and the second one is simplified model based on decomposition of atom density matrix over vibration states in the lattice wells. We search cooling field intensity and detuning for minimum cooling energy and fast laser cooling.

DOI
10.1088/1742-6596/951/1/012019

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We study laser cooling of 24^{24}24Mg atoms in dipole optical trap with pumping field resonant to narrow (3s3s) 1S0→ (3s3p) 3P1(3s3s)\,^1S_0 \rightarrow \, (3s3p)\,^{3}P_1(3s3s)1S0​→(3s3p)3P1​ (λ=457λ= 457λ=457 nm) optical transition. For description of laser cooling of atoms in the optical trap with taking into account quantum recoil effects we consider two quantum models. The first one is based on direct numerical solution of quantum kinetic equation for atom density matrix and the second one is simplified model based on decomposition of atom density matrix over vibration states in the dipole trap. We search pumping field intensity and detuning for minimum cooling energy and fast laser cooling.
The possible deep laser cooling of 24 Mg atoms in a deep optical lattice in the presence of an additional pumping field resonant to the narrow 3 s 3 s 1 S 0 → 3 s 3 p 3 P 1 (λ = 457 nm) optical transition is studied. Two quantum models of the laser cooling of atoms in the optical trap are compared. One is based on the direct numerical solution to the kinetic quantum equation for an atomic density matrix; it considers both optical pumping and quantum recoil effects during interaction between the atoms and field photons. The second, simplified model is based on decomposing the states of the atoms over the levels of vibration in the optical trap and analyzing the evolution of these states. The comparison allows derivation of optical field parameters (pumping field intensity and detuning) that ensure cooling of the atoms to minimal energies. The conditions for fast laser cooling in an optical trap are found.
We study deep laser cooling of24Mg atoms in dipole optical trap with pumping field resonant to narrow (3s3s)1S0→ (3s3p)3P1(λ, = 457nm) optical transition. We consider two quantum models: the first one based on direct numerical solution of quantum kinetic equation for atom density matrix and the second one is simplified model based on decomposition of atom density matrix on vibration states in dipole trap. Both models shows close results. We search pumping field intensity and detuning for minimum laser cooling energy of atoms and fast laser cooling.
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We study laser cooling of atoms with narrow-line optical transition, i.e. in regimes when quantum nature of laser-light interactions results significant effect on atom kinetics. We demonstrate the minimum of laser cooing temperature is reached for the light field detuning close to -3 recoil frequency, i.e. is much differ from standard Doppler cooling theory is used for semiclassical description of laser cooling. We define a set of dimensionless parameters that describe the steady state solution of cold atom distribution in laser light and cooling time. The results can be used for analysis an optimal conditions of laser cooling of atoms with narrow lines Ca, Sr and Mg are of interest for optical time standards.