Application of the Landau-Zener-Stückelberg-Majorana dynamics to the electrically driven flip of a hole spin

Pasek, Wojciech Julian; Maialle, M. Z.; Degani, Marcos H.

doi:10.1103/physrevb.97.115417

Cited by 9 publications

(5 citation statements)

References 30 publications

(39 reference statements)

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“…A three-level model for a driven system is convenient for describing the impact of the external noise (Band and Avishai, 2019; Kenmoe and Fai, 2016;Kenmoe et al, 2013Kenmoe et al, , 2015Li and Cen, 2018). Periodically driven four-level systems are useful for describing the charge states of two particles in DQDs, as realized in (Chatterjee et al, 2018;Mi et al, 2018;Shi et al, 2014) and described in (Pasek et al, 2018;Shevchenko et al, 2018;Zhao and Hu, 2021;Zhou et al, 2021). A five-level model describes singlet-triplet states in spin-based DQDs (Chen et al, 2017;Qi et al, 2017;Stehlik et al, 2016b), which was also addressed by (Ginzel et al, 2020;Karami et al, 2019;Zhao and Hu, 2018a).…”

Section: G Multilevel Systemsmentioning

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: G Multilevel Systemsmentioning

confidence: 99%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

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“…Another important example is the multilevel Landau-Zener-Stückelberg-Majorana (LZSM) interference model, in which the diagonal elements of the Hamiltonian are periodic functions of time, while the offdiagonal elements are constants. These models are realizations of such physical systems as Rydberg atom systems [25][26][27], circuit QED systems [28][29][30][31][32][33][34][35][36][37][38][39][40][41], quantum dot systems [21,[42][43][44][45][46][47][48][49], and many-body spin systems [50][51][52]. It is thus of essential importance to have appropriate methods to analyze these models.…”

Section: Introductionmentioning

confidence: 99%

Generalized Adiabatic Impulse Approximation

Suzuki,

Nakazato

2021

Preprint

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Non-adiabatic transitions in multilevel systems appear in various fields of physics, but it is not easy to analyze their dynamics in general. In this paper, we propose to extend the adiabatic impulse approximation to multilevel systems. This approximation method is shown to be equivalent to a series of unitary evolutions and facilitates to evaluate the dynamics numerically. In particular, we analyze the dynamics of the Landau-Zener grid model and the multilevel Landau-Zener-Stückelberg-Majorana interference model, and confirm that the results are in good agreement with the exact dynamics evaluated numerically. We also derive the conditions for destructive interference to occur in the multilevel system. II. REVIEW : EXACT WKB ANALYSIS FOR THREE-LEVEL LZ MODELIn this section, we present a brief review of the exact-WKB analysis for the three-level LZ model in previous studies [53,54]. Consider the following Schrödinger equa-

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“…Although standard LZSM interferometry has been extensively studied for two-level systems, realistic quantum systems may have more than just two levels. Multi-level LZSM physics has been observed, for example, in superconducting qubits [23][24][25][26][27] and semiconductor quantum dots [28][29][30][31][32][33][34][35] .…”

Section: Introductionmentioning

confidence: 99%

Quantum interference capacitor based on double-passage Landau-Zener-Stückelberg-Majorana interferometry

et al. 2019

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The implementation of quantum technologies in electronics leads naturally to the concept of coherent singleelectron circuits, in which a single charge is used coherently to provide enhanced performance. In this work, we propose a coherent single-electron device that operates as an electrically-tunable capacitor. This system exhibits a sinusoidal dependence of the capacitance with voltage, in which the amplitude of the capacitance changes and the voltage period can be tuned by electric means. The device concept is based on double-passage Landau-Zener-Stückelberg-Majorana interferometry of a coupled two-level system that is further tunnel-coupled to an electron reservoir. We test this model experimentally by performing Landau-Zener-Stückelberg-Majorana interferometry in a single-electron double quantum dot coupled to an electron reservoir and show that the voltage period of the capacitance oscillations is directly proportional to the excitation frequency and that the amplitude of the oscillations depends on the dynamical parameters of the system: intrinsic relaxation and coherence time, as well as the tunneling rate to the reservoir. Our work opens up an opportunity to use the non-linear capacitance of double quantum dots to obtain enhanced device functionalities.

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Application of the Landau-Zener-Stückelberg-Majorana dynamics to the electrically driven flip of a hole spin

Cited by 9 publications

References 30 publications

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Generalized Adiabatic Impulse Approximation

Quantum interference capacitor based on double-passage Landau-Zener-Stückelberg-Majorana interferometry

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