scholarly journals A Josephson relation for fractionally charged anyons

Science ◽  
2019 ◽  
Vol 363 (6429) ◽  
pp. 846-849 ◽  
Author(s):  
M. Kapfer ◽  
P. Roulleau ◽  
M. Santin ◽  
I. Farrer ◽  
D. A. Ritchie ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Dynamical Property ◽  
Electron Systems ◽  
Dimensional Electron ◽  
Fractional Quantum ◽  
Time Resolved ◽  
Quantum Phases ◽  
Fractional Charge ◽  
Fractional Quantum Hall ◽  
Topological Quantum

Anyons occur in two-dimensional electron systems as excitations with fractional charge in the topologically ordered states of the fractional quantum Hall effect (FQHE). Their dynamics are of utmost importance for topological quantum phases and possible decoherence-free quantum information approaches, but observing these dynamics experimentally is challenging. Here, we report on a dynamical property of anyons: the long-predicted Josephson relation fJ = e*V/h for charges e* = e/3 and e/5, where e is the charge of the electron and h is Planck’s constant. The relation manifests itself as marked signatures in the dependence of photo-assisted shot noise (PASN) on voltage V when irradiating contacts at microwaves frequency fJ. The validation of FQHE PASN models indicates a path toward realizing time-resolved anyon sources based on levitons.

scholarly journals New fractional quantum Hall state in double-layer two-dimensional electron systems

1992 ◽  
Vol 68 (9) ◽  
pp. 1383-1386 ◽  
Author(s):  
J. P. Eisenstein ◽  
G. S. Boebinger ◽  
L. N. Pfeiffer ◽  
K. W. West ◽  
Song He
Keyword(s):  
Double Layer ◽  
Quantum Hall ◽  
Two Dimensional ◽  
Electron Systems ◽  
Dimensional Electron ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall State ◽  
Two Dimensional Electron Systems

scholarly journals Competing ν = 5/2 fractional quantum Hall states in confined geometry

2016 ◽  
Vol 113 (44) ◽  
pp. 12386-12390 ◽  
Author(s):  
Hailong Fu ◽  
Pengjie Wang ◽  
Pujia Shan ◽  
Lin Xiong ◽  
Loren N. Pfeiffer ◽  
...  
Keyword(s):  
Quantum Computation ◽  
Filling Factor ◽  
Fault Tolerant ◽  
Quantum Hall ◽  
Point Contact ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Topological Quantum ◽  
Quantum Point ◽  
Topological Quantum Computation

Some theories predict that the filling factor 5/2 fractional quantum Hall state can exhibit non-Abelian statistics, which makes it a candidate for fault-tolerant topological quantum computation. Although the non-Abelian Pfaffian state and its particle-hole conjugate, the anti-Pfaffian state, are the most plausible wave functions for the 5/2 state, there are a number of alternatives with either Abelian or non-Abelian statistics. Recent experiments suggest that the tunneling exponents are more consistent with an Abelian state rather than a non-Abelian state. Here, we present edge-current–tunneling experiments in geometrically confined quantum point contacts, which indicate that Abelian and non-Abelian states compete at filling factor 5/2. Our results are consistent with a transition from an Abelian state to a non-Abelian state in a single quantum point contact when the confinement is tuned. Our observation suggests that there is an intrinsic non-Abelian 5/2 ground state but that the appropriate confinement is necessary to maintain it. This observation is important not only for understanding the physics of the 5/2 state but also for the design of future topological quantum computation devices.

scholarly journals Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments

2006 ◽  
Vol 74 (15) ◽  
Author(s):  
Eun-Ah Kim ◽  
Michael J. Lawler ◽  
Smitha Vishveshwara ◽  
Eduardo Fradkin
Keyword(s):  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Charge ◽  
Fractional Quantum Hall

QUANTUM COMPUTING WITH NON-ABELIAN QUASIPARTICLES

2007 ◽  
Vol 21 (08n09) ◽  
pp. 1372-1378 ◽  
Author(s):  
N. E. BONESTEEL ◽  
L. HORMOZI ◽  
G. ZIKOS ◽  
S. H. SIMON
Keyword(s):  
Dimensional Space ◽  
Quantum Hall ◽  
Three Dimensional ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Operations ◽  
Topological Quantum ◽  
Dimensional Space Time ◽  
Two Space Dimensions ◽  
Topological Quantum Computation

In topological quantum computation quantum information is stored in exotic states of matter which are intrinsically protected from decoherence, and quantum operations are carried out by dragging particle-like excitations (quasiparticles) around one another in two space dimensions. The resulting quasiparticle trajectories define world-lines in three dimensional space-time, and the corresponding quantum operations depend only on the topology of the braids formed by these world-lines. We describe recent work showing how to find braids which can be used to perform arbitrary quantum computations using a specific kind of quasiparticle (those described by the so-called Fibonacci anyon model) which are thought to exist in the experimentally observed ν = 12/5 fractional quantum Hall state.

Fractional quantum Hall effect in multilayer electron systems

1993 ◽  
Vol 184 (1-4) ◽  
pp. 43-50
Author(s):  
Y.W. Suen ◽  
J. Jo ◽  
M.B. Santos ◽  
L.W. Engel ◽  
M. Shayegan
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Electron Systems ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

scholarly journals Fractional quantum Hall effects in In0.75Ga0.25As bilayer electron systems observed as “Finger print”

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Syoji Yamada ◽  
Akira Fujimoto ◽  
Siro Hidaka ◽  
Masashi Akabori ◽  
Yasutaka Imanaka ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Electron Systems ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Finger Print ◽  
Quantum Hall Effects ◽  
Hall Effects ◽  
Fractional Quantum Hall Effects
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