A novel manner of qubit storage: vacuum fluctuations and BICs of Majoranas assisted by a non-trivial Kondo effect

• Grant number: 15/23539-8
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2016
• End date: February 29, 2020
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Antonio Carlos Ferreira Seridonio
• Grantee: Luciano Henrique Siliano Ricco
• Host Institution: Faculdade de Engenharia (FEIS). Universidade Estadual Paulista (UNESP). Campus de Ilha Solteira. Ilha Solteira , SP, Brazil

Abstract

In this project, we will explore theoretically the interplay between vacuum fluctuations, Majorana quasiparticles (MQPs) and bound states in the continuum (BICs) based on a non-trivial Kondo effect, in a system composed by two Kitaev chains within the topological phase, coupled to a QD hybridized with leads. It is well known that BICs emerge due to quantum interference processes, as for instance, the Fano effect. However, our preliminary results for the non-interacting case reveal a novel type of BICs, in which MQPs are trapped. As the MQPs of these Kitaev chains far apart build a delocalized fermion and consequently a qubit, we identify that the decay of these BICs is not connected to Fano and it occurs when finite fluctuations are observed in the vacuum composed by electron pairs for this qubit. This feature requires temporary broken of Pauli exclusion, which consists the novel manner of detecting the proposed BICs. From the experimental point of view, we also show that vacuum fluctuations can be induced just by changing the chain-dot couplings from symmetric to asymmetric. Hence, our current analysis shows how to perform the qubit storage within two delocalized BICs of MQPs and to access it when the vacuum fluctuates by means of a complete controllable way in quantum transport experiments. For the near feature, we want to answer if the current scenario remains by turning-on the Coulomb repulsion between the delocalized qubit and the QD. In such a case, a non-trivial Kondo effect is expected to rise, wherein the spin degree of freedom is not responsible, since the entire system is placed within a spinless regime for the existence of topological superconductivity. This phenomenon will be addressed by employing the following two methods: (i) the equation-of-motion (EOM) approach supported by a decoupling scheme on Green's functions of the system Hamiltonian, which will provide some analytical insights on the setup considered; and (ii) the numerical renormalization group (NRG) method, a powerful computational technique for impurity problems. (AU)

Scientific publications

(22)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GUESSI, L. H.; DESSOTTI, F. A.; MARQUES, Y.; RICCO, L. S.; PEREIRA, G. M.; MENEGASSO, P.; DE SOUZA, M.; SERIDONIO, A. C.. Encrypting Majorana fermion qubits as bound states in the continuum. Physical Review B, v. 96, n. 4, JUL 13 2017. (15/23539-8, 15/26655-9)

CAMPO, JR., V. L.; RICCO, L. S.; SERIDONIO, A. C.. Isolating Majorana fermions with finite Kitaev nanowires and temperature: Universality of the zero-bias conductance. Physical Review B, v. 96, n. 4, JUL 24 2017. (15/23539-8)

RICCO, L. S.; MARQUES, Y.; DESSOTTI, F. A.; MACHADO, R. S.; DE SOUZA, M.; SERIDONIO, A. C.. Decay of bound states in the continuum of Majorana fermions induced by vacuum fluctuations: Proposal of qubit technology. Physical Review B, v. 93, n. 16, APR 14 2016. (15/23539-8, 14/14143-0)

RICCO, L. S.; CAMPO JR, V. L.; SHELYKH, I. A.; SERIDONIO, A. C.. Majorana oscillations modulated by Fano interference and degree of nonlocality in a topological superconducting-nanowire-quantum-dot system. Physical Review B, v. 98, n. 7, AUG 24 2018. (15/23539-8)

RICCO, L. S.; MARQUES, Y.; SANCHES, J. E.; SHELYKH, I. A.; SERIDONIO, A. C.. Interaction induced hybridization of Majorana zero modes in a coupled quantum-dot-superconducting-nanowire hybrid system. Physical Review B, v. 102, n. 16, OCT 5 2020. (15/23539-8)

RICCO, L. S.; DESSOTTI, F. A.; SHELYKH, I. A.; FIGUEIRA, M. S.; SERIDONIO, A. C.. Tuning of heat and charge transport by Majorana fermions. SCIENTIFIC REPORTS, v. 8, FEB 12 2018. (15/23539-8)

RICCO, L. S.; MARQUES, Y.; SANCHES, J. E.; SHELYKH, I. A.; SERIDONIO, A. C.. Interaction induced hybridization of Majorana zero modes in a coupled quantum-dot-superconducting-nanowire hybrid system. PHYSICAL REVIEW B, v. 102, n. 16, p. 8-pg., 2020-10-05. (15/23539-8)

CAMPO, V. L., JR.; RICCO, L. S.; SERIDONIO, A. C.. Isolating Majorana fermions with finite Kitaev nanowires and temperature: Universality of the zero-bias conductance. PHYSICAL REVIEW B, v. 96, n. 4, p. 8-pg., 2017-07-24. (15/23539-8)

RICCO, L. S.; DE SOUZA, M.; FIGUEIRA, M. S.; SHELYKH, I. A.; SERIDONIO, A. C.. Spin-dependent zero-bias peak in a hybrid nanowire-quantum dot system: Distinguishing isolated Majorana fermions from Andreev bound states. PHYSICAL REVIEW B, v. 99, n. 15, p. 9-pg., 2019-04-30. (15/23539-8)

DESSOTTI, F. A.; RICCO, L. S.; MARQUES, Y.; GUESSI, L. H.; YOSHIDA, M.; FIGUEIRA, M. S.; DE SOUZA, M.; SODANO, PASQUALE; SERIDONIO, A. C.. Unveiling Majorana quasiparticles by a quantum phase transition: Proposal of a current switch. PHYSICAL REVIEW B, v. 94, n. 12, p. 5-pg., 2016-09-16. (15/26655-9, 15/23539-8)

MARQUES, Y.; RICCO, L. S.; DESSOTTI, F. A.; MACHADO, R. S.; SHELYKH, I. A.; DE SOUZA, M.; SERIDONIO, A. C.. Realization of anomalous multiferroicity in free-standing graphene with magnetic adatoms. PHYSICAL REVIEW B, v. 94, n. 20, p. 5-pg., 2016-11-10. (15/23539-8)

RICCO, L. S.; MARQUES, Y.; DESSOTTI, F. A.; MACHADO, R. S.; DE SOUZA, M.; SERIDONIO, A. C.. Decay of bound states in the continuum of Majorana fermions induced by vacuum fluctuations: Proposal of qubit technology. PHYSICAL REVIEW B, v. 93, n. 16, p. 6-pg., 2016-04-14. (14/14143-0, 15/23539-8)

RICCO, L. S.; DE SOUZA, M.; FIGUEIRA, M. S.; SHELYKH, I. A.; SERIDONIO, A. C.. Spin-dependent zero-bias peak in a hybrid nanowire-quantum dot system: Distinguishing isolated Majorana fermions from Andreev bound states. Physical Review B, v. 99, n. 15, APR 30 2019. (15/23539-8)

MARQUES, Y.; OBISPO, A. E.; RICCO, L. S.; DE SOUZA, M.; SHELYKH, I. A.; SERIDONIO, A. C.. Antibonding ground state of adatom molecules in bulk Dirac semimetals. Physical Review B, v. 96, n. 4, JUL 11 2017. (15/23539-8)

DESSOTTI, F. A.; RICCO, L. S.; MARQUES, Y.; GUESSI, L. H.; YOSHIDA, M.; FIGUEIRA, M. S.; DE SOUZA, M.; SODANO, PASQUALE; SERIDONIO, A. C.. Unveiling Majorana quasiparticles by a quantum phase transition: Proposal of a current switch. Physical Review B, v. 94, n. 12, SEP 16 2016. (15/23539-8, 15/26655-9)

MARQUES, Y.; RICCO, L. S.; DESSOTTI, F. A.; MACHADO, R. S.; SHELYKH, I. A.; DE SOUZA, M.; SERIDONIO, A. C.. Realization of anomalous multiferroicity in free-standing graphene with magnetic adatoms. Physical Review B, v. 94, n. 20, NOV 10 2016. (15/23539-8)

SANCHES, J. E.; RICCO, L. S.; MARQUES, Y.; MIZOBATA, W. N.; DE SOUZA, M.; SHELYKH, I. A.; SERIDONIO, A. C.. Majorana molecules and their spectral fingerprints. Physical Review B, v. 102, n. 7, AUG 19 2020. (15/23539-8)

DESSOTTI, F. A.; RICCO, L. S.; MARQUES, Y.; MACHADO, R. S.; GUESSI, L. H.; FIGUEIRA, M. S.; DE SOUZA, M.; SERIDONIO, A. C.. Fano fingerprints of Majoranas in Kitaev dimers of superconducting adatoms. PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, v. 83, p. 297-305, SEP 2016. (15/23539-8, 14/14143-0)

RICCO, L. S.; CAMPO JR, V. L.; SHELYKH, I. A.; SERIDONIO, A. C.. Majorana oscillations modulated by Fano interference and degree of nonlocality in a topological superconducting-nanowire-quantum-dot system. PHYSICAL REVIEW B, v. 98, n. 7, p. 7-pg., 2018-08-24. (15/23539-8)

SANCHES, J. E.; RICCO, L. S.; MARQUES, Y.; MIZOBATA, W. N.; DE SOUZA, M.; SHELYKH, I. A.; SERIDONIO, A. C.. Majorana molecules and their spectral fingerprints. PHYSICAL REVIEW B, v. 102, n. 7, p. 6-pg., 2020-08-19. (15/23539-8)

GUESSI, L. H.; DESSOTTI, F. A.; MARQUES, Y.; RICCO, L. S.; PEREIRA, G. M.; MENEGASSO, P.; DE SOUZA, M.; SERIDONIO, A. C.. Encrypting Majorana fermion qubits as bound states in the continuum. PHYSICAL REVIEW B, v. 96, n. 4, p. 5-pg., 2017-07-13. (15/26655-9, 15/23539-8)

MARQUES, Y.; OBISPO, A. E.; RICCO, L. S.; DE SOUZA, M.; SHELYKH, I. A.; SERIDONIO, A. C.. Antibonding ground state of adatom molecules in bulk Dirac semimetals. PHYSICAL REVIEW B, v. 96, n. 4, p. 5-pg., 2017-07-11. (15/23539-8)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

RICCO, Luciano Henrique Siliano. Majorana bound states in hybrid quantum dot-topological superconducting nanowires: detection and applications. 2020. Doctoral Thesis - Universidade Estadual Paulista (Unesp). Faculdade de Engenharia. Ilha Solteira Ilha Solteira.