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Physical Review A

Coherent manipulation of collective three-level systems

Mihai Macovei, Jörg Evers, Christoph H. Keitel

Published Mar 4, 2005• 29 citations
Publisher

Abstract

We investigate control schemes for the dynamics of a collection of dipole-interacting three-level atoms in $\mathrm{V}$- or $\mathrm{\ensuremath{\Lambda}}$- configuration. For this, we discuss the strong-field steady-state behavior of these systems under the influence of external parameters such as the relative phase between the two applied strong driving laser fields, the ratio of spontaneous decay and incoherent pumping rates, the splitting frequency between closely spaced atomic states, or a surrounding thermal bath. We show that these may act as convenient tools to sensitively control the collective dynamics of the atoms. As applications, we analyze the fluorescence and absorption properties of the atomic samples. Finally, we discuss the transient behavior to show that the presented schemes feature a rapid system evolution as required for many applications.

DOI
10.1103/physreva.71.033802

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We investigate control schemes for the dynamics of a collection of dipole-interacting three-level atoms in V\mathrm{V}V- or \ensuremathΛ\mathrm{\ensuremath{\Lambda}}\ensuremathΛ- configuration. For this, we discuss the strong-field steady-state behavior of these systems under the influence of external parameters such as the relative phase between the two applied strong driving laser fields, the ratio of spontaneous decay and incoherent pumping rates, the splitting frequency between closely spaced atomic states, or a surrounding thermal bath. We show that these may act as convenient tools to sensitively control the collective dynamics of the atoms. As applications, we analyze the fluorescence and absorption properties of the atomic samples. Finally, we discuss the transient behavior to show that the presented schemes feature a rapid system evolution as required for many applications.
The manipulation of the steady-state behavior of a collection of dipole-interacting three-level atoms in a V or Lambda configuration is investigated as a function of the relative phase of two strong coherent driving fields. For larger samples, the phase is shown to be a convenient parameter to rapidly populate or depopulate completely a trapping state of the ensemble. As applications, we present the appropriately prepared atomic sample as an optical switching device and show its virtues in controlling the collective steady-state resonance fluorescence intensity.
We investigate the resonance fluorescence from a collection of three-level V- or Λ-type atoms which are driven simultaneously by coherent and incoherent sources of light. In particular, we focus on interference effects arising from broadband incoherent pump fields. This interference, which does not require non-orthogonal transition dipole moments, induces a sensitivity to the relative phase of the coherent driving fields. It is shown that the variation of the relative phase leads to interesting modifications of the collective steady-state behaviors of the two systems.
Noninversion lasing is investigated in \ensuremath{\Lambda}-type three-level atomic systems that are coupled to two modes of the electromagnetic field. As a result of an external field driving the transition between the lower two closely spaced levels, laser action can be achieved in both modes simultaneously at arbitrarily small initial upper-level population (lasing without inversion) provided the pumping rate exceeds a certain threshold. The relative phase of the two modes is locked to a particular value controlled by the phase of the external field. In addition, new regimes of the laser operation arise when initial coherences between various atomic levels are also injected into the resonator. Firstly, laser action can be achieved in both modes at arbitrarily small pumping (no threshold). Secondly, the injected atomic coherence can control competition between the modes, and result in a variety of multistable steady-state behavior illustrating the very sensitive dynamics of the system.
Strong-field quantum-state control is investigated, taking advantage of the full---amplitude and phase---characterization of the interaction between matter and intense ultrashort pulses via transient-absorption spectroscopy. As an example, we apply the method to a nondegenerate VVV-type three-level system modeling atomic Rb, and use a sequence of intense delayed pulses, whose parameters are tailored to steer the system into a desired quantum state. We show how to experimentally enable this optimization by retrieving all quantum features of the light-matter interaction from observable spectra. This provides a full characterization of the action of strong fields on the atomic system, including the dependence upon possibly unknown pulse properties and atomic structures. Precision and robustness of the scheme are tested, in the presence of surrounding atomic levels influencing the system's dynamics.
Properties of a Three-Level ΛΛΛ-Type Atom Driven by Coherent and Stochastic Fields
We present a theoretical investigation of a three-level ΛΛΛ-type atom driven by a strong coherent laser and a weak stochastic field exhibiting amplitude and phase fluctuations. The stochastic field is modeled as a complex Gaussian-Markovian random process with finite bandwidth to describe realistic laser noise. Using the Born-Markov and rotating-wave approximations, we derive a Lindblad-form master equation that incorporates spontaneous emission and noise-induced terms, and we solve for the steady-state regime. We examine level populations in both the bare and dressed bases and compute the incoherent resonance-fluorescence spectrum. Our analysis shows that the stochastic drive is not merely a source of decoherence but a versatile control parameter. By detuning the stochastic-field central frequency relative to the coherent drive (especially for narrow bandwidths), we observe pronounced changes in emission characteristics, including selective enhancement or suppression, and reshaping of the multi-peaked fluorescence spectrum when the detuning matches the generalized Rabi frequency. Numerical results reveal nontrivial steady-state modifications distinct from purely coherent driving, enabling precise control of populations and suggesting applications in quantum control, quantum technologies, spectroscopy, and noise-assisted manipulation of atomic systems.