Majorana oscillations and parity crossings in semiconductor nanowire-based transmon qubits

We show that the microwave (MW) spectra in semiconductor-nanowire-based transmon qubits provide a strong signature of the presence of Majorana bound states in the junction. This occurs as an external magnetic field tunes the wire into the topological regime and the energy splitting of the emergent M...

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Main Authors: J. Ávila, E. Prada, P. San-Jose, R. Aguado
Format: Article
Language:English
Published: American Physical Society 2020-09-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.033493
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author J. Ávila
E. Prada
P. San-Jose
R. Aguado
author_facet J. Ávila
E. Prada
P. San-Jose
R. Aguado
author_sort J. Ávila
collection DOAJ
description We show that the microwave (MW) spectra in semiconductor-nanowire-based transmon qubits provide a strong signature of the presence of Majorana bound states in the junction. This occurs as an external magnetic field tunes the wire into the topological regime and the energy splitting of the emergent Majorana modes oscillates around zero energy owing to their wave function spatial overlap in finite-length wires. In particular, we discuss how these Majorana oscillations, and the concomitant fermion parity switches in the ground state of the junction, result in distinct spectroscopic features—in the form of an intermittent visibility of absorption lines—that strongly deviate from standard transmon behavior. In contrast, nonoscillating zero modes, such as topologically trivial Andreev bound states resulting from sufficiently smooth potentials, exhibit an overall standard transmon response. These differences in the MW response could help determine whether the junction contains topological Majoranas or not.
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spelling doaj.art-4ff78bb9e18d4dbbb0a7bcc24151e10f2024-04-12T17:01:22ZengAmerican Physical SocietyPhysical Review Research2643-15642020-09-012303349310.1103/PhysRevResearch.2.033493Majorana oscillations and parity crossings in semiconductor nanowire-based transmon qubitsJ. ÁvilaE. PradaP. San-JoseR. AguadoWe show that the microwave (MW) spectra in semiconductor-nanowire-based transmon qubits provide a strong signature of the presence of Majorana bound states in the junction. This occurs as an external magnetic field tunes the wire into the topological regime and the energy splitting of the emergent Majorana modes oscillates around zero energy owing to their wave function spatial overlap in finite-length wires. In particular, we discuss how these Majorana oscillations, and the concomitant fermion parity switches in the ground state of the junction, result in distinct spectroscopic features—in the form of an intermittent visibility of absorption lines—that strongly deviate from standard transmon behavior. In contrast, nonoscillating zero modes, such as topologically trivial Andreev bound states resulting from sufficiently smooth potentials, exhibit an overall standard transmon response. These differences in the MW response could help determine whether the junction contains topological Majoranas or not.http://doi.org/10.1103/PhysRevResearch.2.033493
spellingShingle J. Ávila
E. Prada
P. San-Jose
R. Aguado
Majorana oscillations and parity crossings in semiconductor nanowire-based transmon qubits
Physical Review Research
title Majorana oscillations and parity crossings in semiconductor nanowire-based transmon qubits
title_full Majorana oscillations and parity crossings in semiconductor nanowire-based transmon qubits
title_fullStr Majorana oscillations and parity crossings in semiconductor nanowire-based transmon qubits
title_full_unstemmed Majorana oscillations and parity crossings in semiconductor nanowire-based transmon qubits
title_short Majorana oscillations and parity crossings in semiconductor nanowire-based transmon qubits
title_sort majorana oscillations and parity crossings in semiconductor nanowire based transmon qubits
url http://doi.org/10.1103/PhysRevResearch.2.033493
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AT eprada majoranaoscillationsandparitycrossingsinsemiconductornanowirebasedtransmonqubits
AT psanjose majoranaoscillationsandparitycrossingsinsemiconductornanowirebasedtransmonqubits
AT raguado majoranaoscillationsandparitycrossingsinsemiconductornanowirebasedtransmonqubits