Time scales for Majorana manipulation using Coulomb blockade in gate-controlled superconducting nanowires
(2016) In Physical Review B 94(3).- Abstract
We numerically compute the low-energy spectrum of a gate-controlled superconducting topological nanowire segmented into two islands, each Josephson coupled to a bulk superconductor. This device may host two pairs of Majorana bound states and could provide a platform for testing Majorana fusion rules. We analyze the crossover between (i) a charge-dominated regime utilizable for initialization and readout of Majorana bound states, (ii) a single-island regime for dominating interisland Majorana coupling, (iii) a Josephson-plasmon regime for large coupling to the bulk superconductors, and (iv) a regime of four Majorana bound states allowing for topologically protected Majorana manipulations. From the energy spectrum, we derive conservative... (More)
We numerically compute the low-energy spectrum of a gate-controlled superconducting topological nanowire segmented into two islands, each Josephson coupled to a bulk superconductor. This device may host two pairs of Majorana bound states and could provide a platform for testing Majorana fusion rules. We analyze the crossover between (i) a charge-dominated regime utilizable for initialization and readout of Majorana bound states, (ii) a single-island regime for dominating interisland Majorana coupling, (iii) a Josephson-plasmon regime for large coupling to the bulk superconductors, and (iv) a regime of four Majorana bound states allowing for topologically protected Majorana manipulations. From the energy spectrum, we derive conservative estimates for the time scales of a fusion-rule testing protocol proposed recently (D. Aasen, arXiv:1511.05153). We also analyze the steps needed for basic Majorana braiding operations in branched nanowire structures.
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- author
- Hell, Michael LU ; Danon, Jeroen ; Flensberg, Karsten and Leijnse, Martin LU
- organization
- publishing date
- 2016-07-15
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review B
- volume
- 94
- issue
- 3
- article number
- 035424
- publisher
- American Physical Society
- external identifiers
-
- scopus:84978402709
- wos:000379650600004
- ISSN
- 1098-0121
- DOI
- 10.1103/PhysRevB.94.035424
- language
- English
- LU publication?
- yes
- id
- 57c10504-0678-4e21-a786-841013a595c1
- date added to LUP
- 2017-01-12 12:25:27
- date last changed
- 2025-01-12 19:15:07
@article{57c10504-0678-4e21-a786-841013a595c1,
abstract = {{<p>We numerically compute the low-energy spectrum of a gate-controlled superconducting topological nanowire segmented into two islands, each Josephson coupled to a bulk superconductor. This device may host two pairs of Majorana bound states and could provide a platform for testing Majorana fusion rules. We analyze the crossover between (i) a charge-dominated regime utilizable for initialization and readout of Majorana bound states, (ii) a single-island regime for dominating interisland Majorana coupling, (iii) a Josephson-plasmon regime for large coupling to the bulk superconductors, and (iv) a regime of four Majorana bound states allowing for topologically protected Majorana manipulations. From the energy spectrum, we derive conservative estimates for the time scales of a fusion-rule testing protocol proposed recently (D. Aasen, arXiv:1511.05153). We also analyze the steps needed for basic Majorana braiding operations in branched nanowire structures.</p>}},
author = {{Hell, Michael and Danon, Jeroen and Flensberg, Karsten and Leijnse, Martin}},
issn = {{1098-0121}},
language = {{eng}},
month = {{07}},
number = {{3}},
publisher = {{American Physical Society}},
series = {{Physical Review B}},
title = {{Time scales for Majorana manipulation using Coulomb blockade in gate-controlled superconducting nanowires}},
url = {{http://dx.doi.org/10.1103/PhysRevB.94.035424}},
doi = {{10.1103/PhysRevB.94.035424}},
volume = {{94}},
year = {{2016}},
}