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Microwave manipulation of fractional charges (anyons) of the Quantum Hall Effect

Contact: GLATTLI Christian, , christian.glattli@cea.fr, +33 1 69 08 72 43/74 75
Summary:
Recently, the microwave control of e/3 and e/5 anyons has been demonstrated in the Quantum Hall Effect regime (Science 2019). During the internship we propose to realize an on-demand source of single anyons generalizing the concept of single Leviton sources (Nature 2013). Having such anyon source will enable the study of the anyonic (not fermionic nor bosonic) statistics.
Possibility of continuation in PhD: Oui
Deadline for application:29/05/2020

Full description:
In some quantum matter states, the current may remarkably be transported by carriers that bear a fraction e∗ of the elementary electron charge. This is the case for the Fractional quantum Hall effect (FQHE) that happens in two-dimensional systems at low temperature under a high perpendicular magnetic field. When the number of magnetic flux in units of h/e is a fraction of the number of electrons, a dissipationless current flows along the edges of the sample and is carried by anyons with fractional charge e/3, e/5, e/7, etc. These fractional excitations are believed to be anyons intermediate between fermions and bosons. However the evidence of anyonic statistics is still lacking. We propose an original approach based on the manipulation of anyons by microwave photons as recently demonstrated in the group (Science 2019). The idea is to realize a single anyon source similar to the one developed for electrons based on Levitons (Nature 2013, Nature 2014). Combining 2 such sources would allow the 2-anyon interference required to evidence the anyonic statistics.
During the internship the student will participate to the realization of the on-demand single anyon source using microwave Lorentzian pulses. The characterization will include electronic quantum noise measurements.
[1] A Josephson relation for fractionally charged anyons, M. Kapfer, P. Roulleau, I. Farrer, D. Ritchie and D. C. Glattli ( SCIENCE (2019) https://doi.org/10.1126/science.aau3539 )

[2] Minimal-excitation states for electron quantum optics using levitons, J. Dubois, T. Jullien, F. Portier, P. Roche, A. Cavanna, Y. Jin, W. Wegscheider, P. Roulleau and D. C. Glattli, NATURE 502, 659-663 (2013)

[3] Quantum tomography of an electron, T. Jullien, P. Roulleau, B. Roche, A. Cavanna, Y. Jin and D. C. Glattli, Nature 514, 603–607 ( 2014)

Technics/methods used during the internship:
microwaves, cryogénie, nanofabrication

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