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Viewing Majorana Bound States by Rabi Oscillations.

Wang Z, Liang QF, Yao DX, Hu X - Sci Rep (2015)

Bottom Line: The system consists of a quantum dot (QD) and an rf-SQUID with MBSs at the Josephson junction.Rabi oscillations between energy levels formed by MBSs are induced by ac gate voltage controlling the coupling between QD and MBS when the photon energy proportional to the ac frequency matches gap between quantum levels formed by MBSs and QD.The present scheme is expected to provide a clear evidence for MBSs under intensive searching.

View Article: PubMed Central - PubMed

Affiliation: 1] School of Physics and Engineering, Sun Yat-sen University, Guangzhou 510275, China [2] International Center for Materials Nanoarchitectonics (WPI-MANA), National Institute for Materials Science, Tsukuba 305-0044, Japan.

ABSTRACT
We propose to use Rabi oscillation as a probe to view the fractional Josepshon relation (FJR) associated with Majorana bound states (MBSs) expected in one-dimensional topological superconductors. The system consists of a quantum dot (QD) and an rf-SQUID with MBSs at the Josephson junction. Rabi oscillations between energy levels formed by MBSs are induced by ac gate voltage controlling the coupling between QD and MBS when the photon energy proportional to the ac frequency matches gap between quantum levels formed by MBSs and QD. As a manifestation of the Rabi oscillation in the whole system involving MBSs, the electron occupation on QD oscillates with time, which can be measured by charge sensing techniques. With Floquet theorem and numerical analysis we reveal that from the resonant driving frequency for coherent Rabi oscillation one can directly map out the FJR cos(πΦ/Φ0) as a signature of MBSs, with Φ the magnetic flux through SQUID and Φ0 = hc/2e the flux quantum. The present scheme is expected to provide a clear evidence for MBSs under intensive searching.

No MeSH data available.


Schematic setup of a hybrid system constructed by a topological rf-SQUID and a quantum dot.The quantum dot is connected to the Majorana bound states in the SQUID with the coupling strength tunable by an ac gate voltage.
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f1: Schematic setup of a hybrid system constructed by a topological rf-SQUID and a quantum dot.The quantum dot is connected to the Majorana bound states in the SQUID with the coupling strength tunable by an ac gate voltage.

Mentions: In this work, we propose to directly view the FJR using Rabi oscillations between energy levels formed by MBSs. As schematically shown in Fig. 1, our setup is constructed by a Majorana rf-SQUID and a nearby quantum dot (QD), where an ac gate voltage is applied to tune the coupling between QD and MBS periodically in time; the magnetic flux through SQUID modulates the phase difference between the two MBSs at junction. The time evolution of quantum states including MBSs and QD is investigated by the Floquet theorem and numerical techniques. Intriguingly we find that a pair of resonant driving frequencies for coherent Rabi oscillations depend individually on the magnetic flux in the form of FJR cos(πΦ/Φ0) associated with the MBSs. Experimentally the Rabi oscillations can be detected by sensing the electron occupation on QD with well established techniques35.


Viewing Majorana Bound States by Rabi Oscillations.

Wang Z, Liang QF, Yao DX, Hu X - Sci Rep (2015)

Schematic setup of a hybrid system constructed by a topological rf-SQUID and a quantum dot.The quantum dot is connected to the Majorana bound states in the SQUID with the coupling strength tunable by an ac gate voltage.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4495447&req=5

f1: Schematic setup of a hybrid system constructed by a topological rf-SQUID and a quantum dot.The quantum dot is connected to the Majorana bound states in the SQUID with the coupling strength tunable by an ac gate voltage.
Mentions: In this work, we propose to directly view the FJR using Rabi oscillations between energy levels formed by MBSs. As schematically shown in Fig. 1, our setup is constructed by a Majorana rf-SQUID and a nearby quantum dot (QD), where an ac gate voltage is applied to tune the coupling between QD and MBS periodically in time; the magnetic flux through SQUID modulates the phase difference between the two MBSs at junction. The time evolution of quantum states including MBSs and QD is investigated by the Floquet theorem and numerical techniques. Intriguingly we find that a pair of resonant driving frequencies for coherent Rabi oscillations depend individually on the magnetic flux in the form of FJR cos(πΦ/Φ0) associated with the MBSs. Experimentally the Rabi oscillations can be detected by sensing the electron occupation on QD with well established techniques35.

Bottom Line: The system consists of a quantum dot (QD) and an rf-SQUID with MBSs at the Josephson junction.Rabi oscillations between energy levels formed by MBSs are induced by ac gate voltage controlling the coupling between QD and MBS when the photon energy proportional to the ac frequency matches gap between quantum levels formed by MBSs and QD.The present scheme is expected to provide a clear evidence for MBSs under intensive searching.

View Article: PubMed Central - PubMed

Affiliation: 1] School of Physics and Engineering, Sun Yat-sen University, Guangzhou 510275, China [2] International Center for Materials Nanoarchitectonics (WPI-MANA), National Institute for Materials Science, Tsukuba 305-0044, Japan.

ABSTRACT
We propose to use Rabi oscillation as a probe to view the fractional Josepshon relation (FJR) associated with Majorana bound states (MBSs) expected in one-dimensional topological superconductors. The system consists of a quantum dot (QD) and an rf-SQUID with MBSs at the Josephson junction. Rabi oscillations between energy levels formed by MBSs are induced by ac gate voltage controlling the coupling between QD and MBS when the photon energy proportional to the ac frequency matches gap between quantum levels formed by MBSs and QD. As a manifestation of the Rabi oscillation in the whole system involving MBSs, the electron occupation on QD oscillates with time, which can be measured by charge sensing techniques. With Floquet theorem and numerical analysis we reveal that from the resonant driving frequency for coherent Rabi oscillation one can directly map out the FJR cos(πΦ/Φ0) as a signature of MBSs, with Φ the magnetic flux through SQUID and Φ0 = hc/2e the flux quantum. The present scheme is expected to provide a clear evidence for MBSs under intensive searching.

No MeSH data available.