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Time scales for Majorana manipulation using Coulomb blockade in gate-controlled superconducting nanowires

Hell, Michael LU ; Danon, Jeroen; Flensberg, Karsten and Leijnse, Martin LU (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
organization
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type
Contribution to journal
publication status
published
subject
in
Physical Review B
volume
94
issue
3
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
2017-09-18 11:36:15
@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>},
  articleno    = {035424},
  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},
  volume       = {94},
  year         = {2016},
}