Time-domain braiding of anyons By Mélanie Ruelle; Laboratoire de Physique de l’Ecole Normale Supérieure, ENS, Paris, France. Thursday April 3 at 3:00 pm (Paris time), Room Charpak, entrance building, ground floor at LPEM in hybrid.
Contrary to fermions and bosons, anyons are quasiparticles that keep a robust memory of particle exchanges via a braiding phase factor. This provides them with unique dynamical properties so far unexplored. When an anyon excitation is emitted toward a quantum point contact (QPC) in a fractional quantum Hall (FQH) fluid, this memory translates into tunneling events that may occur long after the anyon excitation has exited the QPC. For anyons, the dominant mechanism for particle transfer is not the direct tunneling of the incoming excitations, but rather a time-domain braiding process between the incoming excitations and particle-hole excitations created at the QPC.
In this work, we investigate the mechanism of anyon braiding at a QPC with two-particle interferometry experiments in the dc and ac regime. We measure topological exchange properties (the braiding phase) and dynamical edge properties (the scaling dimension) of anyons. In the nu = 2/5 state, we show that an anyon collider device is able to not only distinguish anyons from fermions but also to discriminate between different types of anyons based on their braiding phase. In the nu=1/3 state, we implement a Hong-Ou-Mandel experiment between triggered anyon pulses to study the dynamics of anyons directly in the time domain. This experiment introduces time-domain measurements for characterizing the braiding phase and scaling dimension of anyons.
Contrary to fermions and bosons, anyons are quasiparticles that keep a robust memory of particle exchanges via a braiding phase factor. This provides them with unique dynamical properties so far unexplored. When an anyon excitation is emitted toward a quantum point contact (QPC) in a fractional quantum Hall (FQH) fluid, this memory translates into tunneling events that may occur long after the anyon excitation has exited the QPC. For anyons, the dominant mechanism for particle transfer is not the direct tunneling of the incoming excitations, but rather a time-domain braiding process between the incoming excitations and particle-hole excitations created at the QPC.
In this work, we investigate the mechanism of anyon braiding at a QPC with two-particle interferometry experiments in the dc and ac regime. We measure topological exchange properties (the braiding phase) and dynamical edge properties (the scaling dimension) of anyons. In the nu = 2/5 state, we show that an anyon collider device is able to not only distinguish anyons from fermions but also to discriminate between different types of anyons based on their braiding phase. In the nu=1/3 state, we implement a Hong-Ou-Mandel experiment between triggered anyon pulses to study the dynamics of anyons directly in the time domain. This experiment introduces time-domain measurements for characterizing the braiding phase and scaling dimension of anyons.
ID: 822 2096 4875
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