Harmonic driving and dynamic transitions in the Landau–Zener–Stückelberg–Majorana interferometry induced by tunneling flux-driven symmetric transmon qubits

被引：0
作者：
Tedo, S.L. Dongmo [1 ]
Feulefack, O.C. [1 ,2 ]
Danga, J.E. [1 ]
Mkam Tchouobiap, S.E. [2 ,3 ]
Keumo Tsiaze, R.M. [2 ,4 ]
Fotue, A.J. [1 ]
Hounkonnou, M.N. [2 ]
Fai, L.C. [1 ]
机构：
[1] Condensed Matter and Nanomaterials, Department of Physics, Faculty of Science, University of Dschang, P.O. Box 67, Dschang
[2] International Chair in Mathematical Physics and Applications (ICMPA-UNESCO Chair), University of Abomey-Calavi, 072 B.P. 50, Cotonou
[3] Laboratory of Research on Advanced Materials and Nonlinear Science (LaRAMaNS), Department of Physics, Faculty of Sciences, University of Buea, PO Box 63, Buea
[4] Laboratory of Mechanics, Materials and Structures, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaounde
来源：
Reviews in Physics | 2025年 / 13卷
关键词：
Dynamic transitions; Flux-driven symmetric transmon qubits; Gap engineering; Harmonic driving; Landau–Zener–Stückelberg–Majorana interferometry; Quantum tunneling;
D O I：
10.1016/j.revip.2025.100118
中图分类号：
学科分类号：
摘要：
In this study, Landau–Zener–Stückelberg–Majorana (LZSM) dynamics of tunneling transmon quantum bits (qubits) and related interference effects (interferometry) in symmetrical Josephson junctions (JJs) are theoretically investigated. Accordingly, the deviation of the driving parameters from the symmetry point and the transmon frequency are introduced, leading to fluctuations of a superconducting gap that limit the computational power of state-of-the-art transmon qubits and micro-processors. Indeed, the theoretical approach is carried withing the framework of the dynamic matrix approach (DMA) and numerical experiment measurements are reported after both single and double passages through a complexity of the transmon qubit polarization energy. Therefore, we derive generalized analytical expressions of LZSM quantum tunneling probabilities (QTP) and energy eigenvalues for multiple passages processes, which allow us to efficiently establish the transmon frequency and determine the driving parameters. Our theoretical results seem relevant for the interpretation of several LZSM interferometry mechanisms in the modulation of superconducting gap through different transmon qubit spectroscopy experiments in which tunable LZSM transitions and quantum interference patterns are demonstrated by the use of universal nonadiabatic control to implement quantum emulations. Additionally, this mapping enables the investigation of JJ effects through the identification of the corresponding modulated topological phases accumulated during the LZSM transitions, which offer new opportunities to coherently manipulate qubit states and address the energy transfer of transmon qubits on the one hand. On the other hand, it suggests possibilities to reduce sensitivity and to suspected sources of imperfection from different superconducting qubit architectures, particularly in the context of materials optimization strategies that dig out nontrivial phenomena possessing powerful quantum interferometer functionality with realistic quantum controls of tunneling transmon qubit states. © 2025 The Authors
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共 78 条
[1]  
Quintana C.M., Chen Y., Sank D., Petukhov A.G., White T.C., Kafri D., Chiaro B., Megrant A., Barends R., Campbell B., Chen Z., Dunsworth A., Fowler A.G., Graff R., Jeffrey E., Kelly J., Lucero E., Mu-tus J.Y., Neeley M., Neill C., O'Malley P.J.J., Roushan P., Shabani A., Smelyanskiy V.N., Vainsencher A., Wenner J., Neven H., Martinis J.M., Observation of classical-quantum crossover of 1/f flux noise and its paramagnetic temperature dependence, Phys. Rev. Lett., 118, (2017)
[2]  
Landau L.D., On the theory of transfer of energy at collisions II, Phys. Z. Sowjetunion, 2, pp. 46-51, (1932)
[3]  
Zener C., Non-adiabatic crossing of energy levels, Proc. R. Soc. Lond. Ser. A, 137, (1932)
[4]  
Stuckelberg E.C.G., Theory of inelastic collisions between atoms, Helv. Phys. Acta, 5, pp. 369-423, (1932)
[5]  
Majorana E., Atomi orientati in campo magnetico variabile, Nuovo Cimento, 9, pp. 43-50, (1932)
[6]  
Sun L., DiCarlo L., Reed M., Catelani G., Bishop L.S., Schuster D., Johnson B., Yang G.A., Frunzio L., Glazman L., Devoret M., Schoelkopf R., Measurements of quasiparticle tunneling dynamics in a bandgap-engineered transmon qubit, Phys. Rev. Lett., 108, (2012)
[7]  
Riwar R.-P., Hosseinkhani A., Burkhart L.D., Gao Y.Y., Schoelkopf R.J., Glazman L.I., Catelani G., Normal-metal quasiparticle traps for superconductingqubits, Phys. Rev. B, 94, (2016)
[8]  
Throckmorton R.E., Barnes E., DasSarma S., Environmental noise effects on entanglement fidelity of exchange-coupled semiconductor spin qubits, Phys. Rev. B, 95, (2017)
[9]  
Quintana C.M., Petersson K.D., McFaul L.W., Srinivasan S.J., Houck A.A., Petta J.R., Cavity-mediated entanglement generation via Landau–Zener interferometry, Phys. Rev. Lett., 110, (2013)
[10]  
Gu X., Kockum A.F., Miranowicz A., Liu Y.-X., Nori F., Microwave photonics with superconducting quantum circuits, Phys. Rep., 718-719, (2017)
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