Complete energy conversion between light beams carrying orbital angular momentum using coherent population trapping for a coherently driven double-
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 atom-light-coupling scheme

Hamedi, Hamid Reza; Paspalakis, Emmanuel; Žlabys, Giedrius; Juzeliūnas, Gediminas; Ruseckas, Julius

doi:10.1103/physreva.100.023811

Cited by 55 publications

(20 citation statements)

References 71 publications

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“…For comparison, we consider a pair of adiabatic controls that we have used in Refs. [39,40], of the form Here, we take t 0 = T /2 = 125 and T = 10. The control fields are shown in Fig.…”

Section: Example and Discussionmentioning

confidence: 99%

Optimal shape of STIRAP pulses for large dissipation at the intermediate level

Stefanatos

Paspalakis

2021

Quantum Inf Process

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We study the problem of maximizing population transfer efficiency in the STIRAP system for the case where the dissipation rate of the intermediate state is much higher than the maximum amplitude of the control fields. Under this assumption, the original three-level system can be reduced to a couple of equations involving the initial and target states only. We find the control fields which maximize the population transfer to the target state for a given duration T , without using any penalty involving the population of the lossy intermediate state, but under the constraint that the sum of the intensities of the pump and Stokes pulses is constant, so the total field has constant amplitude and the only control parameter is the mixing angle of the two fields. In the optimal solution the mixing angle changes in the bang-singular-bang manner, where the initial and final bangs correspond to equal instantaneous rotations, while the intermediate singular arc to a linear change with time. We show that the optimal angle of the initial and final rotations is the unique solution of a transcendental equation where duration T appears as a parameter, while the optimal slope of the intermediate linear change as well as the optimal transfer efficiency is expressed as functions of this optimal angle. The corresponding optimal solution recovers the counterintuitive pulse-sequence, with nonzero pump and Stokes fields at the boundaries. We also show with numerical simulations that transfer efficiency values close to the optimal derived using the approximate system can also be obtained with the original STIRAP system using dissipation rates comparable to the maximum control amplitude.

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“…For comparison, we consider a pair of adiabatic controls that we have used in Refs. [39,40], of the form Here, we take t 0 = T /2 = 125 and T = 10. The control fields are shown in Fig.…”

Section: Example and Discussionmentioning

confidence: 99%

Optimal shape of STIRAP pulses for large dissipation at the intermediate level

Stefanatos

Paspalakis

2021

Quantum Inf Process

Self Cite

View full text Add to dashboard Cite

show abstract

“…For comparison, we consider a pair of adiabatic controls that we have used in Refs. [39,40], of the form…”

Section: Example and Discussionmentioning

confidence: 99%

Optimal shape of STIRAP pulses for large dissipation at the intermediate level

Stefanatos,

Paspalakis

2021

Preprint

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We study the problem of maximizing population transfer efficiency in the STIRAP system for the case where the dissipation rate of the intermediate state is much higher than the maximum amplitude of the control fields. Under this assumption, the original three-level system can be reduced to a couple of equations involving the initial and target states only. We find the control fields which maximize the population transfer to the target state for a given duration T , without using any penalty involving the population of the lossy intermediate state, but under the constraint that the sum of the intensities of the pump and Stokes pulses is constant, so the total field has constant amplitude and the only control parameter is the mixing angle of the two fields. In the optimal solution the mixing angle changes in the bang-singular-bang manner, where the initial and final bangs correspond to equal instantaneous rotations, while the intermediate singular arc to a linear change with time. We show that the optimal angle of the initial and final rotations is the unique solution of a transcendental equation where duration T appears as a parameter, while the optimal slope of the intermediate linear change as well as the optimal transfer efficiency are expressed as functions of this optimal angle. The corresponding optimal solution recovers the counterintuitive pulse-sequence, with nonzero pump and Stokes fields at the boundaries. We also show with numerical simulations that, transfer efficiency values close to the optimal derived using the approximate system, can also be obtained with the original STIRAP system using dissipation rates comparable to the maximum control amplitude.

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“…The interaction of such structured light beams with cold atoms results in a plethora of interesting effects, including light‐induced‐torque, [ 6 ] atom vortex beams, [ 7 ] entanglement of OAM states of photon pairs, [ 8 ] OAM‐based four‐wave mixing, [ 9,10 ] spatially dependent electromagnetically induced transparency (EIT) and its applications, [ 11–17 ] as well as vortex slow light and transfer of optical vortices between light fields. [ 18–29 ]…”

Section: Introductionmentioning

confidence: 99%

Spatially Structured Optical Effects in a Four‐Level Quantum System Near a Plasmonic Nanostructure

2021

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The light–matter interaction for a four‐level double‐V‐type quantum system interacting with a pair of weak probe fields while located near a 2D array of metal‐coated dielectric nanospheres is studied. A situation is considered in which one of the probe field carries an optical vortex, that is, an electromagnetic field with optical angular momentum, and the other probe field has no vortex. It is demonstrated that due to the phase sensitivity of the closed‐loop double V‐type quantum system, the linear and nonlinear susceptibility of the non‐vortex probe beam depends on the azimuthal angle and orbital angular momentum (OAM) of the vortex probe beam. This feature is missing in an open four‐level double V‐type quantum system interacting with free‐space vacuum, as no quantum interference occurs in this case. The azimuthal dependence of optical susceptibility of the quantum system is used to determine the regions of spatially structured transparency.

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Complete energy conversion between light beams carrying orbital angular momentum using coherent population trapping for a coherently driven double- Λ atom-light-coupling scheme

Cited by 55 publications

References 71 publications

Optimal shape of STIRAP pulses for large dissipation at the intermediate level

Optimal shape of STIRAP pulses for large dissipation at the intermediate level

Optimal shape of STIRAP pulses for large dissipation at the intermediate level

Spatially Structured Optical Effects in a Four‐Level Quantum System Near a Plasmonic Nanostructure

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