Single-photon emission of two-level system via rapid adiabatic passage

Miao, Qiang; Zheng, Yujun

doi:10.1038/srep32827

Cited by 8 publications

(4 citation statements)

References 27 publications

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“…In relation to our previous discussion on the interrelation between LZSM interference and multiphoton processes, coherent population transfer can also be described as multi-photon ARP (Maeda et al, 2006). The ARP strategy can be used for a high-quality source of single photons that are emitted because of spontaneous emission from the excited state, which is robust against control errors and environmental fluctuations (Miao and Zheng, 2016b).…”

Section: Shortcuts To Adiabaticitymentioning

confidence: 99%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

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H. Comparison of different methods IV. Interferometry A. Superconducting circuits B. Semiconductor quantum dots C. Donors and impurities (atomic qubits) D. Graphene E. Microscopic systems F. Other systems G. Multilevel systems V. Quantum control A. Coherent control of microscopic and mesoscopic structures B. Universal single-and two-qubit control C. Shortcuts to adiabaticity D. Adiabatic quantum computation VI. Related classical coherent phenomena VII. Conclusion 1. With near-adiabatic limit (Landau) 2. With parabolic cylinder functions (Zener) 3. With contour integrals (Majorana) 4. With WKB approximation and phase integral method (Stückelberg) 5. Duration of the LZSM transition B. Description of a periodically driven two-level system 1. Adiabatic-impulse model a. Adiabatic evolution b. Multiple-passage evolution 2. Rotating-wave approximation (RWA) 3. Floquet theory 4. Rate equation and white noise approach a. Transition rate b. Rate equation c. From Bessel to Airy d. Double-passage regime ReferencesAbbreviations and most-often-used symbols Because this review article is quite long, for the readers' convenience, we present the main abbreviations used. This list also includes some of the topics covered.

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Section: Shortcuts To Adiabaticitymentioning

confidence: 99%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

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“…Especially the seminal paper of J. H. Shirley [4] has until now been cited more than 11 000 times. Among the numerous applications of the theory of periodically driven two level systems are nuclear magnetic resonance [5], acdriven quantum dots [6], Josephson qubit circuits [7], and coherent destruction of tunneling [8]. On the theoretical level the methods of solving the RPL and related problems have been gradually refined and include power series approximations for Bloch-Siegert shifts [9] [10], perturbation theory and/or various limit cases [11] - [16] and the hybridized rotating wave approximation [17].…”

Section: Introductionmentioning

confidence: 99%

The Floquet Theory of the Two-Level System Revisited

Schmidt

2018

Zeitschrift Für Naturforschung A

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We reconsider the periodically driven two level system and especially the Rabi problem with linear polarization. The Floquet theory of this problem can be reduced to its classical limit, i. e. , to the investigation of periodic solutions of the classical Hamiltonian equations of motion in the Bloch sphere. The quasienergy is essentially the action integral over one period and the resonance condition due to J. H. Shirley is shown to be equivalent to the vanishing of the time average of a certain component of the classical solution. This geometrical approach is applied to obtain analytical approximations to physical quantities of the Rabi problem with linear polarization as well as asymptotic formulas for various limit cases.

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“…Finally, we investigated the work cost of realizing TR processes and found out that the average and dispersion of the work distributions are unchanged when compared to the reference protocol; a result that holds for any quantum control dynamics. The ideas presented here can be applied to improve the performance of many qubit-based quantum technologies, such as: single-photon emission [40], preparation of excitonic qubits with quantum dots [41], quantum heat engines [42], and quantum information processing [43]. Our work may also provide insights into the control mechanism of photon populations with optical four-wave mixing [44].…”

Section: Discussionmentioning

confidence: 97%

Shortcuts to adiabatic population inversion via time-rescaling: stability and thermodynamic cost

Andrade

França

Bernardo

2022

Preprint

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A shortcut to adiabaticity (STA) is concerned with the fast and robust manipulation of the dynamics of a quantum system that reproduces the effect of an adiabatic process. A recently proposed method enables the generation of shortcuts from a prescribed slow dynamics by simply rescaling the time variable of the quantum evolution operator. This time-rescaling method does not demand knowledge about the eigenvalues and eigenstates of the Hamiltonian, and in many cases no additional coupling fields. Here, we use this approach to study the problem of speeding up the population inversion of a two-level quantum system. The fidelity of the dynamics versus systematic errors in the control parameters are shown to be comparable with other STA schemes. From a quantum thermodynamic viewpoint, we also demonstrate that the main properties of the distribution of work required to drivethe system along the shortcuts are unchanged with respect to the reference (slow) protocol.PACS numbers:

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Single-photon emission of two-level system via rapid adiabatic passage

Cited by 8 publications

References 27 publications

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

The Floquet Theory of the Two-Level System Revisited

Shortcuts to adiabatic population inversion via time-rescaling: stability and thermodynamic cost

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