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arXiv:1503.07421 · Physical Review A

Population inversion in hyperfine states of Rb with a single nanosecond chirped pulse in the framework of a four-level system

G. Liu, Valery P. Zakharov, T. Collins, P. L. Gould, Svetlana Malinovskaya

Published Apr 28, 2014• 16 citations
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Abstract

We implement a four-level semiclassical model of a single pulse interacting with the hyperfine structure in ultracold rubidium aimed at control of population dynamics and quantum state preparation. We discuss a method based on pulse chirping to achieve population inversion between hyperfine states of the $5S$ shell. The results may prove useful for quantum operations with ultracold atoms.

DOI
10.1103/physreva.89.041803

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We implement a four-level semiclassical model of a single pulse interacting with the hyperfine structure in ultracold rubidium aimed at control of population dynamics and quantum state preparation. We discuss a method based on pulse chirping to achieve population inversion between hyperfine states of the 5S5S5S shell. The results may prove useful for quantum operations with ultracold atoms.
Abstract A semiclassical, four-level model of a nanosecond, chirped pulse interacting with all optically accessible hyperfine states in an ultracold alkali atom, e.g., the 85 Rb, is analyzed aiming at population inversion within 5S 1/2 electronic state. The nature of two-photon adiabatic passage performed by a single pulse having the bandwidth prior to chirping significantly narrower than the hyperfine splitting of 5S 1/2 state is investigated in the framework of the dressed state picture. It is shown that two dressed states are involved in the adiabatic dynamics of population inversion. The excited state manifold appeared to play an important mediating role in the mechanism of population transfer.
At ultracold temperatures, atoms are free from thermal motion, which makes them ideal objects of investigations aiming to advance high-precision spectroscopy, metrology, quantum computation, producing Bose condensates, etc. The quantum state of ultracold atoms may be created and manipulated by making use of quantum control methods employing low-intensity pulses. We theoretically investigate population dynamics of ultracold Rb vapor induced by nanosecond linearly chirped pulses having kW/cm2 beam intensity and show a possibility of controllable population transfer between hyperfine (HpF) levels of 5(2)/S(1/2) state through Raman transitions. Satisfying the one-photon resonance condition with the lowest of the HpF states of 5(2)/P(1/2) or 5(2)/P(3/2) state allows us to enter the adiabatic region of population transfer at very low field intensities, such that corresponding Rabi frequencies are less than or equal to the HpF splitting. This methodology provides a robust way to create a specifically designed superposition state in Rb in the basis of HpF levels and perform state manipulation controllable on the picosecond-to-nanosecond time scale.
We theoretically investigate the population dynamics of the valence electron of elements of the alkali series induced by nanosecond linearly chirped (LC) pulses having kW cm−2 beam intensity and examine two different shapes of the pulse envelope. We demonstrate the possibility of controllable population transfer between hyperfine (HpF) levels of the S orbital through Raman transitions. We assume that the atoms are in the state of an ultracold vapor and Doppler free. Detuning slightly below the one-photon resonance condition with the lowest of the HpF states of the corresponding P orbital avoids interaction of the pulse with the other HpF levels of the P orbital and allows us to enter the adiabatic region of population transfer at very low field intensities, such that the corresponding Rabi frequencies are on the order of the hyperfine splitting of the S orbital. This methodology provides a robust way to create a specially designed superposition state in such atoms in the basis of the HpF levels and perform state manipulation controllable on the picosecond-to-nanosecond timescale.
We investigate the behavior of 85Rb{}^{85}\mathrm{Rb}85Rb atoms in the field of a sequence of frequency-chirped short laser pulses. The analysis is based on a numerical solution of equations for the probability amplitudes of the hyperfine levels of the ${5S}_{1/2}{\ensuremath{-}5P}_{3/2}$ transition in the 85Rb{}^{85}\mathrm{Rb}85Rb atom and the dressed-states analysis. We analyze different regimes of interaction, including relatively short laser pulses (when the width of the pulse envelope spectrum is of the order of or exceeds the frequency interval between the hyperfine levels resulting in effective mixing of them) and relatively long ones (when the ground hyperfine levels are resolved but the excited ones are not resolved). In the latter case dependence of the population transfer efficiency on the initial coherence of the ground states is analyzed. The case of long laser pulses when all working hyperfine levels are resolved is also discussed using numerical simulations and a dressed-states analysis. We show that in all regimes considered, the interaction of a frequency-chirped laser pulse with the multilevel 85Rb{}^{85}\mathrm{Rb}85Rb system is similar to the interaction with an effective two-level atom at sufficiently large peak intensities of the pulses. It allows us to perform efficient excitation of the multilevel atom by transferring populations of two hyperfine ground states to the excited ones and back to the ground states using a pair of frequency-chirped laser pulses. We propose to utilize this scheme of population transfer for the coherent manipulation of a beam of 85Rb{}^{85}\mathrm{Rb}85Rb atoms using sequences of counterpropagating frequency-chirped short laser pulses.
We report a simple scheme to achieve ultrafast and selective population transfer in four-level atoms by utilizing a single nonlinearly chirped femtosecond pulse. It is demonstrated that the almost complete population may be transferred to the preselected state of atoms just by manipulating the so-called frequency offset parameter. The robustness of the scheme against the variation of laser pulse parameters is also investigated. The proposed scheme may be useful for selective population transfer in molecules.