Possibility of Majorana signature detecting via a single-electron spin implanted in a suspended carbon nanotube resonator

Motivated by recent experimental progress towards the detection and manipulation of Majorana fermions in hybrid semiconductor/superconductor heterostructures, we present a novel proposal based on a suspended carbon nanotube resonator with a single-electron spin to probe Majorana fermions in the all-optical domain.

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All-optical control of a single electron spin in diamond

Physical Review A ◽

10.1103/physreva.91.021801 ◽

2015 ◽

Vol 91 (2) ◽

Cited By ~ 9

Author(s):

Y. Chu ◽

M. Markham ◽

D. J. Twitchen ◽

M. D. Lukin

Keyword(s):

Electron Spin ◽

Optical Control ◽

Single Electron ◽

All Optical

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All-optical Kerr modulator based on a carbon nanotube resonator

Physical Review B ◽

10.1103/physrevb.83.115445 ◽

2011 ◽

Vol 83 (11) ◽

Cited By ~ 17

Author(s):

Jin-Jin Li ◽

Wei He ◽

Ka-Di Zhu

Keyword(s):

Carbon Nanotube ◽

All Optical ◽

Carbon Nanotube Resonator

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Reconfigurable Logic Gates Using Single-Electron Spin Transistors

Japanese Journal of Applied Physics ◽

10.1143/jjap.46.6579 ◽

2007 ◽

Vol 46 (10A) ◽

pp. 6579-6585 ◽

Cited By ~ 10

Author(s):

Pham Nam Hai ◽

Satoshi Sugahara ◽

Masaaki Tanaka

Keyword(s):

Electron Spin ◽

Logic Gates ◽

Single Electron ◽

Reconfigurable Logic ◽

Spin Transistors

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Room-Temperature Carbon Nanotube Single-Electron Transistor with Defects Introduced by La(NO3)3Process

Japanese Journal of Applied Physics ◽

10.1143/jjap.47.5724 ◽

2008 ◽

Vol 47 (7) ◽

pp. 5724-5726 ◽

Cited By ~ 7

Author(s):

Masatoshi Maeda ◽

Shin Iwasaki ◽

Takafumi Kamimura ◽

Katsuyuki Murata ◽

Kazuhiko Matsumoto

Keyword(s):

Carbon Nanotube ◽

Room Temperature ◽

Single Electron ◽

Single Electron Transistor

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Paramagnetic resonance and detection of a single electron spin

Russian Chemical Reviews ◽

10.1070/rc2001v070n07abeh000652 ◽

2001 ◽

Vol 70 (7) ◽

pp. 535-541 ◽

Cited By ~ 3

Author(s):

Anatolii L Buchachenko ◽

Fedor I Dalidchik ◽

Sergei A Kovalevskii ◽

Boris R Shub

Keyword(s):

Electron Spin ◽

Single Electron ◽

Paramagnetic Resonance

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Photonic implementation of Majorana-based Berry phases

Science Advances ◽

10.1126/sciadv.aat6533 ◽

2018 ◽

Vol 4 (10) ◽

pp. eaat6533 ◽

Cited By ~ 1

Author(s):

Jin-Shi Xu ◽

Kai Sun ◽

Jiannis K. Pachos ◽

Yong-Jian Han ◽

Chuan-Feng Li ◽

...

Keyword(s):

Quantum Systems ◽

Majorana Fermions ◽

Topological Characteristic ◽

Fundamental Physics ◽

Geometric Phases ◽

Physical Systems ◽

All Optical ◽

Topological Version ◽

Berry Phases ◽

Statistical Evolution

Geometric phases, generated by cyclic evolutions of quantum systems, offer an inspiring playground for advancing fundamental physics and technologies alike. The exotic statistics of anyons realized in physical systems can be interpreted as a topological version of geometric phases. However, non-Abelian statistics has not yet been demonstrated in the laboratory. Here, we use an all-optical quantum system that simulates the statistical evolution of Majorana fermions. As a result, we experimentally realize non-Abelian Berry phases with the topological characteristic that they are invariant under continuous deformations of their control parameters. We implement a universal set of Majorana-inspired gates by performing topological and nontopological evolutions and investigate their resilience against perturbative errors. Our photonic experiment, though not scalable, suggests the intriguing possibility of experimentally simulating Majorana statistics with scalable technologies.

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