Sensitivity to parameters of STIRAP in a Cooper Pair Box

Mangano, Giulia Rita Agata; Siewert, Jens; Falci, G.

doi:10.1140/epjst/e2008-00729-4

Cited by 7 publications

(8 citation statements)

References 41 publications

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“…We have shown in previous works that this has no effect for CPB's in the charge-phase regime, due to the large anharmonicity of the spectrum, even in the presence of markovian noise 8,9,26 . Therefore we will safely study the effect of noise in the lowest three-level subspace.…”

Section: A Implementation Of the λ Systemmentioning

confidence: 89%

Design of a Lambda system for population transfer in superconducting nanocircuits

et al. 2013

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The implementation of a Lambda scheme in superconducting artificial atoms could allow detection of stimulated Raman adiabatic passage (STIRAP) and other quantum manipulations in the microwave regime. However symmetries which on one hand protect the system against decoherence, yield selection rules which may cancel coupling to the pump external drive. The tradeoff between efficient coupling and decoherence due to broad-band colored Noise (BBCN), which is often the main source of decoherence is addressed, in the class of nanodevices based on the Cooper pair box (CPB) design. We study transfer efficiency by STIRAP, showing that substantial efficiency is achieved for off-symmetric bias only in the charge-phase regime. We find a number of results uniquely due to non-Markovianity of BBCN, namely: (a) the efficiency for STIRAP depends essentially on noise channels in the trapped subspace; (b) low-frequency fluctuations can be analyzed and represented as fictitious correlated fluctuations of the detunings of the external drives; (c) a simple figure of merit for design and operating prescriptions allowing the observation of STIRAP is proposed. The emerging physical picture also applies to other classes of coherent nanodevices subject to BBCN.

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Section: A Implementation Of the λ Systemmentioning

confidence: 89%

Design of a Lambda system for population transfer in superconducting nanocircuits

et al. 2013

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“…Among the other recent papers that have discussed the detrimental effect of stochastic processes on STIRAP we note Refs. [62][63][64][65][66][67][68][69][70][71][72][73].…”

Section: Fluctuationsmentioning

confidence: 99%

Detrimental consequences of small rapid laser fluctuations on stimulated Raman adiabatic passage

Yatsenko

Shore²,

Бергманн³

2014

Phys. Rev. A

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We discuss the detrimental effect of small rapid random fluctuations of laser-field amplitude and phase upon the efficiency of stimulated Raman adiabatic passage (STIRAP). Such fluctuations typically accompany the laser stabilization procedures that produce nearly monochromatic light on top of a much broader bandwidth Lorentz-profile pedestal which may carry only a few percent or less of the total power. As we will show, their effects differ qualitatively from the fluctuations that have hitherto been considered (for example, phase diffusion). We present analytic expressions for the population transfer efficiency of STIRAP when limited by stochastic fluctuations of this type. These expressions show, in contrast to situations discussed in the past in which population transfer improves with increasing peak Rabi frequencies, that for the weak broadband noise that accompanies a strong narrow-spectral component, there is an optimum value for the peak Rabi frequency and that the effect of fluctuations, although small, cannot be entirely eliminated in practice. The mission of the current work is to point out that, under the given circumstances, efforts in experiments trying to overcome the detrimental consequences of fluctuations by increasing the intensity, which is the intuitively proper approach, will not be successful.

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“…In this case the terms neglected are rapidly oscillating in the rotating frame, and only produce a small and fast modulation in the dynamics. The approximation is supported by simulations of the full Hamiltonian (4), using more than ten energy levels 15,28 for the usual operating region near q g ¼ 1=2. It is worth stressing the dependence of the e®ective HamiltonianH ðq g Þ on the bias charge q g .…”

Section: 26mentioning

confidence: 95%

“…15 it has been shown that secular dephasing between the above two states does not produce relevant e®ects during population transfer. A careful analysis 28 has allowed us to optimize parameters for STIRAP in the presence of high-frequency noise, showing that operating at q g ¼ 0:47 already provides su±-cient coupling q 02 .…”

Section: E®ects Of Low-frequency Noise In the Quantroniummentioning

confidence: 99%

Effect of Low-Frequency Noise on Adiabatic Passage in a Superconducting Nanocircuit

Cognata

Caldara

Valenti

et al. 2011

Int. J. Quantum Inform.

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Recent experiments have demonstrated coherent phenomena in three-level systems based on superconducting nanocircuits. This opens the possibility to detect Stimulated Raman Adiabatic Passage (STIRAP) in arti¯cial atoms. Low-fequency noise (often 1=f) is one of the main sources of decoherence in these systems, and we study its e®ect on the transfer e±ciency. We propose a way to analyze low frequency°uctuations in terms of¯ctitious correlated°uctuations of external parameters. We discuss a speci¯c implementation, namely the Quantronium setup of a Cooper-pair box, showing that optimizing the trade-o® between e±cient coupling and protection against noise may allow us to observe coherent population transfer in this nanodevice.

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Sensitivity to parameters of STIRAP in a Cooper Pair Box

Cited by 7 publications

References 41 publications

Design of a Lambda system for population transfer in superconducting nanocircuits

Design of a Lambda system for population transfer in superconducting nanocircuits

Detrimental consequences of small rapid laser fluctuations on stimulated Raman adiabatic passage

Effect of Low-Frequency Noise on Adiabatic Passage in a Superconducting Nanocircuit

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