Optimal control of population and coherence in three-level Λ systems

Malinovskaya, Svetlana; Malinovsky, Vladimir S.

doi:10.1088/0953-4075/44/15/154010

Cited by 26 publications

(20 citation statements)

References 50 publications

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“…STIRAP is known to be based on the adiabatic population transfer within a single dressed state that does not include the dark transitional state thus minimizing spontaneous losses. The scheme has a variety of attractive modern applications from cooling internal degrees of freedom in molecules [35], to maximizing coherence between the initial and final states [36], to manipulating dynamics in a multilevel system by making use of the Optimal Control Theory that reveals STIRAP type of control [37]. The goal of the paper is twofold -first, to analyze the efficiency of STIRAP technique in the ensemble of emitters where collective effects are taken into account in the framework of Maxwell-Liouville-von Neumann equations, and, second, to demonstrate the implementation of STIRAP as a tool to control scattering, reflection, and transmission properties of hybrid systems.…”

Section: Introductionmentioning

confidence: 99%

Stimulated Raman adiabatic passage as a route to achieving optical control in plasmonics

Sukharev

Malinovskaya

2012

Phys. Rev. A

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Optical properties of ensembles of three-level quantum emitters coupled to plasmonic systems are investigated employing a self-consistent model. It is shown that stimulated Raman adiabatic passage (STIRAP) technique can be successfully adopted to control optical properties of hybrid materials with collective effects present and playing an important role in light-matter interactions. We consider a core-shell nanowire comprised of a silver core and a shell of coupled quantum emitters and utilize STIRAP scheme to control scattering efficiency of such a system in a frequency and spatial dependent manner. After the STIRAP induced population transfer to the final state takes place, the core-shell nanowire exhibits two sets of Rabi splittings with Fano lineshapes indicating strong interactions between two different atomic transitions driven by plasmon near-fields.

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Section: Introductionmentioning

confidence: 99%

Stimulated Raman adiabatic passage as a route to achieving optical control in plasmonics

Sukharev

Malinovskaya

2012

Phys. Rev. A

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“…The CRAB, GRAPE and Krotov algorithms are widely used as local optimizers on multiple seeds in traditional quantum optimization approaches [5][6][7]32], and have also been used to solve control problems in three-level systems [33]. However, for these algorithms the cost functional involves the transfer fidelity in addition to the terms from the experimental constraints.…”

Section: Parametrization Of a Family Of Reference Pulsesmentioning

confidence: 99%

Fast state transfer in a Λ-system: a shortcut-to-adiabaticity approach to robust and resource optimized control

et al. 2018

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We propose an efficient strategy to find optimal control functions for state-to-state quantum control problems. Our procedure first chooses an input state trajectory, that can realize the desired transformation by adiabatic variation of the system Hamiltonian. The shortcut-to-adiabaticity formalism then provides a control Hamiltonian that realizes the reference trajectory exactly but on a finite time scale. As the final state is achieved with certainty, we define a cost functional that incorporates the resource requirements and a perturbative expression for robustness. We optimize this functional by systematically varying the reference trajectory. We demonstrate the method by application to population transfer in a laser driven three-level Λ-system, where we find solutions that are fast and robust against perturbations while maintaining a low peak laser power.

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“…It is well known that the overlap of the Stokes and pump envelopes plays a part in the efficiency of the STI-RAP process [23,48]. Figure 5(a) shows the population transfered to the excited state versus the separation time between the peaks of the incident Stokes and pump pulses.…”

Section: Effect Of Varying the Pump-stokes Pulse Separation Timementioning

confidence: 99%

Optical preparation and measurement of atomic coherence at gigahertz bandwidth

Siddons¹,

Adams²,

Hughes³

2012

J. Phys. B: At. Mol. Opt. Phys.

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We detail a method for the preparation of atomic coherence in a high density atomic medium, utilising a coherent preparation scheme of gigahertz bandwidth pulses. A numerical simulation of the preparation scheme is developed, and its efficiency in preparing coherent states is found to be close to unity at the entrance to the medium. The coherence is then measured non-invasively with a probe field.Controlling the absorptive and dispersive properties of high density alkali metal vapours has allowed the realisation of storage of light [1], quantum memory [2] and entanglement of macroscopic systems [3]. The preparation of atomic coherence continues to draw a lot of attention [4][5][6], with potential applications in quantum computation and quantum information protocols [7]. The control of quantum states required in quantum logic operations is often achieved via the application of optical fields to atomic systems, for example, in the implementation of qubit rotations for logic gates [8]. In this instance the qubit takes the form of an atomic coherence state, but usage of single photons as 'flying qubits' is also an area of great interest since transmitting information via light is common place in telecommunications [9]. Often both atomic and photonic qubits are utilised and hence the requirement of reliable transfer of quantum states between photons and atoms, which is the principle behind optical quantum memory [10,11]. The phenomenon of photon echoes [12,13] has been used to store and retrieve arbitrary single-photon wave packets [14] along with the related gradient echo memory [15,16]. The storage and retrieval of photons at high speeds (gigahertz bandwidth) for optical quantum memory [17,18] is advantageous for quantum computation, which calls for high-rate operations such as fast quantum gates based on Rydberg atoms [19,20].Most quantum computation schemes require a few working states amongst which interactions are mediated via optical control fields, and typically require the system to be prepared initially in a pure state. Preparation schemes based on spontaneous emission, such as Coherent population trapping (CPT) [21], take many excited state lifetimes for a medium to reach its final state, which substantially limits the bandwidth of the operation. Also, they begin to fail at increasingly high density, as photons scatter from the pumping field and continue to interact with the sample [22]. For these reasons, transfer via an off-resonant coherent mechanism is preferred, in which there is a certain amount of freedom to choose the final atomic state of the atom, and can be completed over timescales faster than those necessary for incoherent pumping. Stimulated Raman adiabatic passage (STI-RAP) is one such technique for the highly efficient transfer of population between two non-degenerate metastable states, facilitated via a stimulated two-photon transition involving an unstable intermediate state [23]. The technique has been further expanded with the generalisation of the three levels into degenerate manifolds...

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Optimal control of population and coherence in three-level Λ systems

Cited by 26 publications

References 50 publications

Stimulated Raman adiabatic passage as a route to achieving optical control in plasmonics

Stimulated Raman adiabatic passage as a route to achieving optical control in plasmonics

Fast state transfer in a Λ-system: a shortcut-to-adiabaticity approach to robust and resource optimized control

Optical preparation and measurement of atomic coherence at gigahertz bandwidth

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