Các trạng thái Majorana bị ràng buộc trong một điểm lượng tử được kích thích

H.-L. Huang, D. Wu, D. Fan, X. Zhu, Superconducting quantum computing: a review. Sci. China Inf. Sci. 63, 180501 (2020). https://doi.org/10.1007/s11432-020-2881-9 J.M. Gambetta, J.M. Chow, M. Steffen, Building logical qubits in a superconducting quantum computing system. NPJ Quantum Inf. 3, 2 (2017). https://doi.org/10.1038/s41534-016-0004-0 J. Clarke, F.K. Wilhelm, Superconducting quantum bits. Nature 453, 1031 (2008). https://doi.org/10.1038/nature07128 B. Pannetier, H. Courtois, Andreev reflection and proximity effect. J. Low Temp. Phys. 118, 599 (2000). https://doi.org/10.1023/A:1004635226825 A. Odobesko, D. Di Sante, A. Kowalski, S. Wilfert, F. Friedrich, R. Thomale, G. Sangiovanni, M. Bode, Observation of tunable single-atom Yu–Shiba–Rusinov states. Phys. Rev. B 102, 174504 (2020). https://doi.org/10.1103/PhysRevB.102.174504 A. Jellinggaard, K. Grove-Rasmussen, M.H. Madsen, J. Nygård, Tuning Yu–Shiba–Rusinov states in a quantum dot. Phys. Rev. B 94, 064520 (2016). https://doi.org/10.1103/PhysRevB.94.064520 L. Pavešić, R. Žitko, Qubit based on spin-singlet Yu–Shiba–Rusinov states. Phys. Rev. B 105, 075129 (2022). https://doi.org/10.1103/PhysRevB.105.075129 R.-P. Riwar, M. Houzet, J.S. Meyer, Y.V. Nazarov, Multi-terminal Josephson junctions as topological matter. Nat. Commun. 7, 11167 (2016). https://doi.org/10.1038/ncomms11167 N. Pankratova, H. Lee, R. Kuzmin, K. Wickramasinghe, W. Mayer, J. Yuan, M.G. Vavilov, J. Shabani, V.E. Manucharyan, Multiterminal Josephson effect. Phys. Rev. X 10, 031051 (2020). https://doi.org/10.1103/PhysRevX.10.031051 H.-Y. Xie, M.G. Vavilov, A. Levchenko, Topological Andreev bands in three-terminal Josephson junctions. Phys. Rev. B 96, 161406 (2017). https://doi.org/10.1103/PhysRevB.96.161406 K. Flensberg, Tunneling characteristics of a chain of Majorana bound states. Phys. Rev. B 82, 180516 (2010). https://doi.org/10.1103/PhysRevB.82.180516 K. Laubscher, J. Klinovaja, Majorana bound states in semiconducting nanostructures. J. Appl. Phys. 130, 081101 (2021). https://doi.org/10.1063/5.0055997 C. Schrade, L. Fu, Majorana superconducting qubit. Phys. Rev. Lett. 121, 267002 (2018). https://doi.org/10.1103/PhysRevLett.121.267002 T. Karzig, W.S. Cole, D.I. Pikulin, Quasiparticle poisoning of Majorana qubits. Phys. Rev. Lett. 126, 057702 (2021). https://doi.org/10.1103/PhysRevLett.126.057702 J.F. Steiner, F. von Oppen, Readout of Majorana qubits. Phys. Rev. Res. 2, 033255 (2020). https://doi.org/10.1103/PhysRevResearch.2.033255 M. Houzet, J.S. Meyer, Majorana–Weyl crossings in topological multiterminal junctions. Phys. Rev. B 100, 014521 (2019). https://doi.org/10.1103/PhysRevB.100.014521 L. Peralta Gavensky, G. Usaj, C.A. Balseiro, Topological phase diagram of a three-terminal Josephson junction: from the conventional to the Majorana regime. Phys. Rev. B 100, 014514 (2019). https://doi.org/10.1103/PhysRevB.100.014514 F. Medina, J.P. Ramos-Andrade, L. Rosales, P. Orellana, Josephson and persistent currents in a quantum ring between topological superconductors. Ann. Phys. 533, 2100305 (2021). https://doi.org/10.1002/andp.202100305 K. Sakurai, M.T. Mercaldo, S. Kobayashi, A. Yamakage, S. Ikegaya, T. Habe, P. Kotetes, M. Cuoco, Y. Asano, Nodal Andreev spectra in multi-Majorana three-terminal Josephson junctions. Phys. Rev. B 101, 174506 (2020). https://doi.org/10.1103/PhysRevB.101.174506 T.D. Stanescu, S. Tewari, Robust low-energy Andreev bound states in semiconductor-superconductor structures: importance of partial separation of component Majorana bound states. Phys. Rev. B 100, 155429 (2019). https://doi.org/10.1103/PhysRevB.100.155429 C.-X. Liu, J.D. Sau, S. Das Sarma, Distinguishing topological Majorana bound states from trivial Andreev bound states: proposed tests through differential tunneling conductance spectroscopy. Phys. Rev. B 97, 214502 (2018). https://doi.org/10.1103/PhysRevB.97.214502 E. Prada, P. San-Jose, M.W.A. de Moor, A. Geresdi, E.J.H. Lee, J. Klinovaja, D. Loss, J. Nygård, R. Aguado, L.P. Kouwenhoven, From Andreev to Majorana bound states in hybrid superconductor–semiconductor nanowires. Nat. Rev. Phys. 2, 575 (2020). https://doi.org/10.1038/s42254-020-0228-y M. Hell, K. Flensberg, M. Leijnse, Distinguishing Majorana bound states from localized Andreev bound states by interferometry. Phys. Rev. B 97, 161401 (2018). https://doi.org/10.1103/PhysRevB.97.161401 P. Yu, J. Chen, M. Gomanko, G. Badawy, E.P.A.M. Bakkers, K. Zuo, V. Mourik, S.M. Frolov, Non-Majorana states yield nearly quantized conductance in proximatized nanowires. Nat. Phys. 17, 482 (2021). https://doi.org/10.1038/s41567-020-01107-w M. Aghaee et al., InAs-Al hybrid devices passing the topological gap protocol. Phys. Rev. B 107, 245423 (2023). https://doi.org/10.1103/PhysRevB.107.245423 T. Oka, S. Kitamura, Floquet engineering of quantum materials. Annu. Rev. Condens. Matter Phys. 10, 387 (2019). https://doi.org/10.1146/annurev-conmatphys-031218-013423 C. Weitenberg, J. Simonet, Tailoring quantum gases by floquet engineering. Nat. Phys. 17, 1342 (2021). https://doi.org/10.1038/s41567-021-01316-x J. Smits, L. Liao, H.T.C. Stoof, P. van der Straten, Observation of a space-time crystal in a superfluid quantum gas. Phys. Rev. Lett. 121, 185301 (2018). https://doi.org/10.1103/PhysRevLett.121.185301 K. Sacha, J. Zakrzewski, Time crystals: a review. Rep. Prog. Phys. 81, 016401 (2017). https://doi.org/10.1088/1361-6633/aa8b38 M.S. Rudner, N.H. Lindner, Band structure engineering and non-equilibrium dynamics in floquet topological insulators. Nat. Rev. Phys. 2, 229 (2020). https://doi.org/10.1038/s42254-020-0170-z S. Kitamura, H. Aoki, Floquet topological superconductivity induced by chiral many-body interaction. Commun. Phys. 5, 174 (2022). https://doi.org/10.1038/s42005-022-00936-w R.-X. Zhang, S. Das Sarma, Anomalous floquet chiral topological superconductivity in a topological insulator sandwich structure. Phys. Rev. Lett. 127, 067001 (2021). https://doi.org/10.1103/PhysRevLett.127.067001 A.C. Potter, T. Morimoto, A. Vishwanath, Classification of interacting topological floquet phases in one dimension. Phys. Rev. X 6, 041001 (2016). https://doi.org/10.1103/PhysRevX.6.041001 T. Kitagawa, E. Berg, M. Rudner, E. Demler, Topological characterization of periodically driven quantum systems. Phys. Rev. B 82, 235114 (2010). https://doi.org/10.1103/PhysRevB.82.235114 F. Harper, R. Roy, M.S. Rudner, S. Sondhi, Topology and broken symmetry in floquet systems. Annu. Rev. Condens. Matter Phys. 11, 345 (2020). https://doi.org/10.1146/annurev-conmatphys-031218-013721 G. Engelhardt, J. Cao, Dynamical symmetries and symmetry-protected selection rules in periodically driven quantum systems. Phys. Rev. Lett. 126, 090601 (2021). https://doi.org/10.1103/PhysRevLett.126.090601 G. Wang, C. Li, P. Cappellaro, Observation of symmetry-protected selection rules in periodically driven quantum systems. Phys. Rev. Lett. 127, 140604 (2021). https://doi.org/10.1103/PhysRevLett.127.140604 B. Min, B. Fajardo, T. Pereg-Barnea, K. Agarwal, Dynamical approach to improving Majorana qubits and distinguishing them from trivial bound states. Phys. Rev. B 105, 155412 (2022). https://doi.org/10.1103/PhysRevB.105.155412 E. Prada, R. Aguado, P. San-Jose, Measuring Majorana nonlocality and spin structure with a quantum dot. Phys. Rev. B 96, 085418 (2017). https://doi.org/10.1103/PhysRevB.96.085418 D.J. Clarke, Experimentally accessible topological quality factor for wires with zero energy modes. Phys. Rev. B 96, 201109 (2017). https://doi.org/10.1103/PhysRevB.96.201109 B. Baran, T. Domański, Quasiparticles of a periodically driven quantum dot coupled between superconducting and normal leads. Phys. Rev. B 100, 085414 (2019). https://doi.org/10.1103/PhysRevB.100.085414 B. Baran, R. Taranko, T. Domański, Subgap dynamics of double quantum dot coupled between superconducting and normal leads. Sci. Rep. 11, 11138 (2021). https://doi.org/10.1038/s41598-021-90080-2 C. Ortega-Taberner, A.-P. Jauho, J. Paaske, Anomalous Josephson current through a driven double quantum dot. Phys. Rev. B 107, 115165 (2023). https://doi.org/10.1103/PhysRevB.107.115165 A. Keliri, B. Douçot, Driven Andreev molecule. Phys. Rev. B 107, 094505 (2023). https://doi.org/10.1103/PhysRevB.107.094505 F.M.C. Damanet, E. Mascarenhas, D. Pekker, A.J. Daley, Controlling quantum transport via dissipation engineering. Phys. Rev. Lett. 123, 180402 (2019). https://doi.org/10.1103/PhysRevLett.123.180402 M. Cheng, M. Becker, B. Bauer, R.M. Lutchyn, Interplay between Kondo and Majorana interactions in quantum dots. Phys. Rev. X 4, 031051 (2014). https://doi.org/10.1103/PhysRevX.4.031051 G. Górski, J. Barański, I. Weymann, T. Domański, Interplay between correlations and Majorana mode in proximitized quantum dot. Sci. Rep. 8, 15717 (2018). https://doi.org/10.1038/s41598-018-33529-1 A.Y. Kitaev, Unpaired Majorana fermions in quantum wires. PHYS-USP+ 44, 131 (2001). https://doi.org/10.1070/1063-7869/44/10S/S29 J. Danon, E.B. Hansen, K. Flensberg, Conductance spectroscopy on Majorana wires and the inverse proximity effect. Phys. Rev. B 96, 125420 (2017). https://doi.org/10.1103/PhysRevB.96.125420 L.S. Ricco, V.L. Campo, I.A. Shelykh, A.C. Seridonio, Majorana oscillations modulated by Fano interference and degree of nonlocality in a topological superconducting-nanowire-quantum-dot system. Phys. Rev. B 98, 075142 (2018). https://doi.org/10.1103/PhysRevB.98.075142 M.-T. Deng, S. Vaitiekėnas, E. Prada, P. San-Jose, J. Nygård, P. Krogstrup, R. Aguado, C.M. Marcus, Nonlocality of Majorana modes in hybrid nanowires. Phys. Rev. B 98, 085125 (2018). https://doi.org/10.1103/PhysRevB.98.085125 L.S. Ricco, Y. Marques, J.E. Sanches, I.A. Shelykh, A.C. Seridonio, Interaction induced hybridization of Majorana zero modes in a coupled quantum-dot-superconducting-nanowire hybrid system. Phys. Rev. B 102, 165104 (2020). https://doi.org/10.1103/PhysRevB.102.165104 F. Medina, J.P. Ramos-Andrade, L. Rosales, P. Orellana, Influence of Majorana bound states in quantum rings. Ann. Phys. 532, 2000199 (2020). https://doi.org/10.1002/andp.202000199 B.H. Wu, J.C. Cao, C. Timm, Polaron effects on the dc- and ac-tunneling characteristics of molecular Josephson junctions. Phys. Rev. B 86, 035406 (2012). https://doi.org/10.1103/PhysRevB.86.035406 N. Tsuji, T. Oka, H. Aoki, Correlated electron systems periodically driven out of equilibrium: \(\text{ Floquet }+\text{ DMFT }\) formalism. Phys. Rev. B 78, 235124 (2008). https://doi.org/10.1103/PhysRevB.78.235124 Q.-F. Sun, J. Wang, T.-H. Lin, Resonant Andreev reflection in a normal-metal-quantum-dot-superconductor system. Phys. Rev. B 59, 3831 (1999). https://doi.org/10.1103/PhysRevB.59.3831 Q.-B. Zeng, S. Chen, L. You, R. Lü, Transport through a quantum dot coupled to two Majorana bound states. Front. Phys. 12, 127302 (2016). https://doi.org/10.1007/s11467-016-0620-3 A. Schuray, L. Weithofer, P. Recher, Fano resonances in Majorana bound states-quantum dot hybrid systems. Phys. Rev. B 96, 085417 (2017). https://doi.org/10.1103/PhysRevB.96.085417 T. Zhou, M.C. Dartiailh, K. Sardashti, J.E. Han, A. Matos-Abiague, J. Shabani, I. Žutić, Fusion of Majorana bound states with mini-gate control in two-dimensional systems. Nat. Commun. 13, 1738 (2022). https://doi.org/10.1038/s41467-022-29463-6 Z. Wang, W.-C. Huang, Q.-F. Liang, X. Hu, Landau–Zener–Stückelberg interferometry for majorana qubit. Sci. Rep. 8, 7920 (2018). https://doi.org/10.1038/s41598-018-26324-5 W.-C. Huang, Q.-F. Liang, D.-X. Yao, Z. Wang, Manipulating the Majorana qubit with Landau–Zener–Stückelberg interference. Phys. Rev. A 92, 012308 (2015). https://doi.org/10.1103/PhysRevA.92.012308 R. Taranko, T. Kwapiński, T. Domański, Transient dynamics of a quantum dot embedded between two superconducting leads and a metallic reservoir. Phys. Rev. B 99, 165419 (2019). https://doi.org/10.1103/PhysRevB.99.165419 J. Avila, F. Peñaranda, E. Prada, P. San-Jose, R. Aguado, Non-hermitian topology as a unifying framework for the Andreev versus Majorana states controversy. Commun. Phys. 2, 133 (2019). https://doi.org/10.1038/s42005-019-0231-8 L. Zhou, Non-hermitian floquet topological superconductors with multiple Majorana edge modes. Phys. Rev. B 101, 014306 (2020). https://doi.org/10.1103/PhysRevB.101.014306