Polarization phase gate with a tripod atomic system

Rebić, Stojan; Vitali, David; Ottaviani, Carlo; Tombesi, Paolo; Artoni, M.; Cataliotti, F. S.; Corbalán, R.

doi:10.1103/physreva.70.032317

Cited by 173 publications

(148 citation statements)

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“…Microscopically, a threelevel Λ electronic structure suffices to explain EIT. Double EIT (DEIT) extends EIT to creating two simultaneous transparency windows, one for a "signal" and the other for a "probe" field, with the aid of a third "coupling" field [3][4][5][6][7]. DEIT is valuable for coherent control and enabling long-lived nonlinear interactions between weak fields, which could enable deterministic all-optical two-qubit gates for quantum computing.…”

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confidence: 99%

“…Moreover, these new second EIT windows for each of the sig- nal and probe fields exhibit coherent gain, which has not previously been expected. We now reprise the dynamics of the driven ⋔ atom [3]. For ≡ 1 andσ ı := |ı |, the free Hamiltonian isĤ 0 = 4 ı=1 ω ı σ ıı .…”

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confidence: 99%

“…The tripod (⋔) scheme [3], which has one upper and three lower levels as shown in Fig 1(a), is one such four-level scheme. This scheme can be reframed in the semi-classical-dressed-picture [8,9] shown in Fig.…”

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confidence: 99%

“…The decay rates depicted in Fig. 1(a) are γ j := i<j (γ ji + γ φj ), and the steady-state density-matrix (ρ) solution is known [3].…”

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confidence: 99%

“…For an atomic gas in three dimensions with N the atomic density and d 14 the dipole moment, the linear optical susceptibility is [3] …”

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confidence: 99%

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Double-double electromagnetically induced transparency with amplification

Alotaibi

Sanders

2014

Phys. Rev. A

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We show that an alkali atom with a tripod electronic structure can yield rich electromagnetically induced transparency phenomena even at room temperature. In particular we introduce doubledouble electromagnetically induced transparency wherein signal and probe fields each have two transparency windows. Their group velocities can be matched in either the first or second pair of transparency windows. Moreover signal and probe fields can each experience coherent gain in the second transparency windows. We explain using a semi-classical-dressed-picture to connect the tripod electronic structure to a double-Λ scheme.PACS numbers: 42.50. Gy, 42.50.Ex Electromagnetically induced transparency (EIT) exploits interfering electronic transitions in a medium to eliminate absorption and dramatically modify dispersion over a narrow frequency band with applications including slow light, reduced self-focusing and defocusing [1], and quantum memory [2]. Microscopically, a threelevel Λ electronic structure suffices to explain EIT. Double EIT (DEIT) extends EIT to creating two simultaneous transparency windows, one for a "signal" and the other for a "probe" field, with the aid of a third "coupling" field [3][4][5][6][7]. DEIT is valuable for coherent control and enabling long-lived nonlinear interactions between weak fields, which could enable deterministic all-optical two-qubit gates for quantum computing.Whereas the Λ scheme suffices to explain EIT, DEIT requires at least four levels. The tripod (⋔) scheme [3], which has one upper and three lower levels as shown in Fig 1(a), is one such four-level scheme. This scheme can be reframed in the semi-classical-dressed-picture [8,9] shown in Fig. 1(b), which has two lower (|1 and |3 ) and two upper (|± ) levels after eliminating the strong coupling (c) field.This semi-classical-dressed model of the ⋔ scheme corresponds effectively to a double Λ system, and double Λ schemes have been studied experimentally [10]. With our semi-classical-dressed analogy, we show that this ⋔ electronic structure exhibits rich hitherto-unnoticed EIT phenomena, namely what we now call double DEIT (DDEIT). Our DDEIT phenomenon has the property that both the signal and the probe fields can each have two EIT windows given the right parameter choices.One particular aspect of our system, namely the second EIT window for the probe, has been predicted [11] and observed experimentally [7,12], but this previously observed effect corresponds only to one aspect of our system, namely a double window for the probe and not to our full DDEIT for both signal and probe fields. Moreover, these new second EIT windows for each of the sig- nal and probe fields exhibit coherent gain, which has not previously been expected. We now reprise the dynamics of the driven ⋔ atom [3]. For ≡ 1 andσ ı := |ı |, the free Hamiltonian isĤ 0 = 4 ı=1 ω ı σ ıı . For ω ı := ω ı − ω  , the ⋔ atom is driven by a probe field with frequency ω p = ω 41 − δ p , a coupling field with frequency ω c = ω 42 − δ c , and a signal field with frequency ω s...

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confidence: 99%

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confidence: 99%

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confidence: 99%

“…The decay rates depicted in Fig. 1(a) are γ j := i<j (γ ji + γ φj ), and the steady-state density-matrix (ρ) solution is known [3].…”

mentioning

confidence: 99%

“…For an atomic gas in three dimensions with N the atomic density and d 14 the dipole moment, the linear optical susceptibility is [3] …”

mentioning