Propagation of light polarization in a birefringent medium: Exact analytic models

Genov, Genko T.; Rangelov, Andon A.; Vitanov, Nikolay V.

doi:10.1016/j.optcom.2011.01.073

Cited by 3 publications

(4 citation statements)

References 33 publications

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“…where the phases α, β depend on the pulse properties and p is the transition probability induced by the pulse, i.e., the probability that the system is in state |2 after the pulse, when it was initially in state |1 . We define the error in the transition probability ≡ 1 − p. Table I shows examples for these variables for several conventional rephasing pulses, i.e., a resonant pulse, a detuned rectangular pulse and an adiabatic chirped pulse (assuming coherent evolution, dipole and rotating-wave approximations [30,39,40]). Free evolution of an atom with a transition angular frequency ω 12 + ∆, where ω 12 is the center frequency of an ensemble of atoms and ∆ is the frequency detuning of the individual atom, is described in the rotating frame at a frequency ω 12 by the propagator…”

Section: A Derivation Of the Propagator For A Rephasing Sequencementioning

confidence: 99%

Section: Appendix a Derivation Of The Propagator For A Rephasing Sequ...mentioning

confidence: 99%

“…where U reph (z, T st ) is a propagator that depends on the applied rephasing sequence and can vary for each atom 24) for resonant, rectangular and adiabatic chirped pulses [30,39,40].…”

Section: Appendix a Derivation Of The Propagator For A Rephasing Sequ...mentioning

confidence: 99%

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Rephasing efficiency of sequences of phased pulses in spin-echo and light-storage experiments

2018

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We investigate the rephasing efficiency of sequences of phased pulses for spin echoes and light storage by electro-magnetically induced transparency (EIT). We derive a simple theoretical model and show that the rephasing efficiency is very sensitive to the phases of the imperfect rephasing pulses. The obtained efficiency differs substantially for spin echoes and EIT light storage, which is due to the spatially retarded coherence phases after EIT light storage. Similar behavior is also expected for other light storage protocols with spatial retardation or for rephasing of collective quantum states with an unknown/undefined phase, e.g., as relevant in single photon storage. We confirm the predictions of our theoretical model by experiments in a Pr

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Section: A Derivation Of the Propagator For A Rephasing Sequencementioning

confidence: 99%

Section: Appendix a Derivation Of The Propagator For A Rephasing Sequ...mentioning

confidence: 99%

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Rephasing efficiency of sequences of phased pulses in spin-echo and light-storage experiments

2018

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“…The vector/surface is often normalised by the total light intensity, and for fully polarised light each point lies on a sphere of unit radius. The evolution of the polarisation vector is implicit in the Maxwell-Bloch equations, but to aid the interpretation of the numerical solution to theses equations, we note that the torque equation of motion provides a simple analogy of birefringence [43,44]. The equation describes the spatial evolution of the polarisation vector S in response to the anisotropy of the medium, represented by the birefringence vector a:…”

Section: A Simple Model Of Polarisation Rotationmentioning

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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Depolarization of polarized polychromatic beam during propagation in a birefringent medium

Saha¹,

Bhattacharya

Chakraborty

2016

Optik

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Propagation of light polarization in a birefringent medium: Exact analytic models

Cited by 3 publications

References 33 publications

Rephasing efficiency of sequences of phased pulses in spin-echo and light-storage experiments

Rephasing efficiency of sequences of phased pulses in spin-echo and light-storage experiments

Optical preparation and measurement of atomic coherence at gigahertz bandwidth

Depolarization of polarized polychromatic beam during propagation in a birefringent medium

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