Landau-Zener-Stückelberg-Majorana interference in a 3D transmon driven by a chirped microwave

Gong, Ming; Zhou, Yu; Lan, Dong; Fan, Ya-Xian; Pan, Jintao; Yu, Haifeng; Chen, Jian; Sun, Guozhu; Yu, Yang; Han, Siyuan; Wu, Peiheng

doi:10.1063/1.4944327

Cited by 13 publications

(13 citation statements)

References 31 publications

(47 reference statements)

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“…This approach was demonstrated for superconducting qubits. 14,15 One message we would like to convey here is that a multi-level system should be doubly driven: by a resonant dressing signal and a slow driving one. In different contexts, doublydriven quantum systems were studied in Refs.…”

Section: Introductionmentioning

confidence: 99%

Low-frequency spectroscopy for quantum multilevel systems

2018

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A periodically driven quantum system with avoided level crossing experiences both non-adiabatic transitions and wave-function phase changes. These result in coherent interference fringes in the system's occupation probabilities. For qubits, with repelling energy levels, such interference, named after Landau-Zener-Stückelberg-Majorana, displays arc-shaped resonance lines. In the case of a multi-level system with an avoided level crossing of the two lower levels, we demonstrate that the shape of the resonances can change from convex arcs to concave heart-shaped and harp-shaped resonance lines. Indeed, the whole energy spectrum determines the shape of such resonance fringes and this also provides insight on the slow-frequency system spectroscopy. As a particular example, we consider this for valley-orbit silicon quantum dots, which are important for the emerging field of valleytronics.

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Section: Introductionmentioning

confidence: 99%

Low-frequency spectroscopy for quantum multilevel systems

2018

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“…This discovery lead to the advent of Stückelberg interferometry that allows for characterizing the parameters of a two-level system or for achieving quantum control over the system [2]. Stückelberg interferometry has been intensively studied in a variety of quantum systems, e.g., Rydberg atoms [3], ultracold atoms and molecules [4], dopants [5], nanomagnets [6], quantum dots [7][8][9][10] and superconducting qubits [11][12][13][14][15] as well as theoretically in a semi-classical optomechanical approach [16]. Here, we experimentally study a classical analog of Stückelberg interferometry, the coherent energy exchange of two strongly coupled classical high Q nanomechanical resonator modes, which can be seen as two high occupancy phonon states.…”

Section: Introductionmentioning

confidence: 99%

Classical Stückelberg interferometry of a nanomechanical two-mode system

et al. 2016

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Stückelberg interferometry is a phenomenon that has been well established for quantum-mechanical two-level systems. Here, we present classical two-mode interference of a nanomechanical two-mode system, realizing a classical analog of Stückelberg interferometry. Our experiment relies on the coherent energy exchange between two strongly coupled, high-quality factor nanomechanical resonator modes. Furthermore, we discuss an exact theoretical solution for the double-passage Stückelberg problem by expanding the established finite-time LandauZener single-passage solution. For the parameter regime explored in the experiment, we find that the Stückelberg return probability in the classical version of the problem formally coincides with the quantum case, which reveals the analogy of the return probabilities in the quantum-mechanical and the classical version of the problem. This result qualifies classical two-mode systems at large to simulate quantum-mechanical interferometry.

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“…Refs. [18,48,49] though). In this way, one would have to confirm the calculations with the more elaborated ones, by taking into account the higher levels (as e.g.…”

Section: Memcapacitancementioning

confidence: 99%

“…Relations (15)(16) and their particular case, Eqs. (17)(18), were related to diverse systems, as described e.g. in the review article [23].…”

Section: Memcapacitancementioning

confidence: 99%

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Thermometry and Memcapacitance with a Qubit-Resonator System

Shevchenko

Karpov

2018

Phys. Rev. Applied

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We study theoretically dynamics of a driven-dissipative qubit-resonator system. Specifically, a transmon qubit is coupled to a transmission-line resonator; this system is considered to be probed via a resonator, by means of either continuous or pulsed measurements. Analytical results obtained in the semiclassical approximation are compared with calculations in the semi-quantum theory as well as with the previous experiments. We demonstrate that the temperature dependence of the resonator frequency shift can be used for the system thermometry and that the dynamics, displaying pinched-hysteretic curve, can be useful for realization of memory devices, the quantum memcapacitors.arXiv:1805.06154v1 [cond-mat.mes-hall]

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Landau-Zener-Stückelberg-Majorana interference in a 3D transmon driven by a chirped microwave

Cited by 13 publications

References 31 publications

Low-frequency spectroscopy for quantum multilevel systems

Low-frequency spectroscopy for quantum multilevel systems

Classical Stückelberg interferometry of a nanomechanical two-mode system

Thermometry and Memcapacitance with a Qubit-Resonator System

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