Measuring a coherent superposition

Vitanov, Nikolay V.; Shore, Bruce W.; Unanyan, R. G.; Бергманн, К.

doi:10.1016/s0030-4018(99)00545-3

Cited by 14 publications

(6 citation statements)

References 33 publications

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“…Various systems have been analyzed by the MS transformation [2], which include two-state superposition systems [7,8], three-state Λ-linkage systems [9], four-state diamond-and tripod-linkage systems [10][11][12][13][14], N -state M -and W -linkage systems [3], to list a few. The MS transformation of three-state Λ-linkage systems is in particular interesting in regards to the laser technique called stimulated Raman adiabatic passage (STI-RAP) [15], where the systems undergo an adiabatic evolution between MS-transformed coupled two states, leaving the dark state never populated during the laser interaction.…”

Section: Introductionmentioning

confidence: 99%

Rabi oscillations of Morris-Shore–transformedN-state systems by elliptically polarized ultrafast laser pulses

et al. 2015

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We present an experimental investigation of ultrafast-laser driven Rabi oscillations of atomic rubidium. Since the broadband spectrum of an ultrafast laser pulse simultaneously couples all the electronic hyperfine transitions between the excited and ground states, the complex excitation linkages involved with the D1 or D2 transition are energy degenerate. Here, by applying the MorrisShore transformation, it is shown that this multi-state system is reduced to a set of independent two-state systems and dark states. In experiments performed by ultrafast laser interactions of atomic rubidium in the strong interaction regime, we demonstrate that the ultrafast dynamics of the considered multi-state system is governed by a sum of at most two decoupled Rabi oscillations when this system interacts with ultrafast laser pulses of any polarization state. We further show the implication of this result to possible controls of photo-electron polarizations.

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Section: Introductionmentioning

confidence: 99%

Rabi oscillations of Morris-Shore–transformedN-state systems by elliptically polarized ultrafast laser pulses

et al. 2015

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“…It has been used to design schemes for complete population transfer between degenerate states [5] and for creation of coherent superpositions of states [6]. The MS transformation has been also a crucial analytic method in creating recipes for efficient discrete quantum state tomography [7].…”

Section: Introductionmentioning

confidence: 99%

Extension of the Morris-Shore transformation to multilevel ladders

2006

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We describe situations in which chains of N degenerate quantum energy levels, coupled by timedependent external fields, can be replaced by independent sets of chains, of length N , N − 1, . . . , 2, and sets of uncoupled single states. The transformation is a generalization of the two-level MorrisShore transformation [J.R. Morris and B.W. Shore, Phys. Rev. A 27, 906 (1983)]. We illustrate the procedure with examples of three-level chains.

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“…However, we consider a different system, and our proposal differs in a number of ways from those that have been previously put forth for SQUIDS. Note that STIRAP has been so far proposed for the controlled creation of superposition states in three-level, four-level or even N-level atomic systems [30][31][32][33][34][35][36][37] and for arbitrary qubit rotation via a four-level atomic system [38]. STIRAP has also been proposed as a method for the measurement of the density matrix of a multi-level system [39].…”

Section: Introductionmentioning

confidence: 99%

Coherent manipulation of superconducting quantum interference devices with adiabatic passage

Paspalakis¹,

Kylstra

2004

Journal of Modern Optics

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The method of stimulated Raman adiabatic passage is applied in order to coherently manipulate a three-level superconducting quantum interference device quantum bit with two microwave pulses. Simulations indicate that this method has the potential to allow for efficient control of the system for a wide range of pulse parameters. IntroductionIn the quest for practical systems for carrying out quantum computations [1], solid-state systems that make use of the Josephson effect are viable candidates [2]. This has been exhibited in a series of important experiments [3][4][5][6][7][8][9][10][11][12][13][14]. One particular scheme is based on magnetic flux states in superconducting quantum interference devices (SQUIDs) [2,[15][16][17][18][19][20][21][22][23][24][25][26]. In some of these schemes [2,[16][17][18][19], the SQUID quantum bit, or qubit, which is the basic element of a SQUID quantum computer, is based on a two-level system manipulated by external fields. The interaction of these systems with both classical [2,16,17] and quantized [18,19] fields has been analysed.Zhou et al.[20] have recently proposed a three-level Ã-type rf-SQUID qubit. Here, the states of the qubit are the two lower flux states j0i and j1i of the Ã system, and the manipulation of the qubit is done with two microwave fields that couple the lower states to an upper state jei. As the transition matrix elements corresponding to the transitions j0i $ jei and j1i $ jei are larger than that of the j0i $ j1i transition, the three-level SQUID qubit has been shown to be more favourable than the conventional two-level SQUID qubit for implementing a NOT gate. Amin et al. [21] have shown that the scheme of Zhou et al. is incomplete and have proposed an improved scheme for the rotation of a three-level SQUID qubit. More recently, Yang and Han [22] have addressed the same problem using far-off-resonant Raman coupling to achieve an arbitrary rotation of a three-level SQUID qubit. They have demonstrated that large detunings of the driving fields from the upper state could be favourable for

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Measuring a coherent superposition

Cited by 14 publications

References 33 publications

Rabi oscillations of Morris-Shore–transformedN-state systems by elliptically polarized ultrafast laser pulses

Rabi oscillations of Morris-Shore–transformedN-state systems by elliptically polarized ultrafast laser pulses

Extension of the Morris-Shore transformation to multilevel ladders

Coherent manipulation of superconducting quantum interference devices with adiabatic passage

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