2019
DOI: 10.1103/physrevb.100.245111
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Driven quantum dot coupled to a fractional quantum Hall edge

Abstract: In relation to recent electron quantum optics experiments we study a model of a quantum dot coupled to a fractional quantum Hall edge driven out of equilibrium by a time-dependent bias voltage. In this setup we take into account short-range interactions between the dot and the edge and calculate the time evolution of the current through the dot using a mapping to a spin-boson problem. Here we present the details of this mapping together with the discussion of numerical results, and their comparison with the pe… Show more

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Cited by 5 publications
(5 citation statements)
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“…The most important cases would involve superconductors [ 18 , 19 , 212 , 213 , 214 , 215 , 216 , 217 ] or fractional Quantum Hall edges states, in which quantum noise measurements have been crucial to address and unveil the dynamics of fractionally charged excitations [ 218 , 219 , 220 , 221 , 222 , 223 , 224 , 225 , 226 , 227 , 228 , 229 , 230 , 231 , 232 , 233 , 234 , 235 ]. Additionally, the recent realization of noiseless levitons [ 8 , 9 , 10 , 11 , 12 ] paves the way to interesting perspectives to investigate flying anyons [ 13 , 220 , 236 ] and novel interesting dynamical effects [ 188 , 189 , 237 ].…”
Section: Discussionmentioning
confidence: 99%
“…The most important cases would involve superconductors [ 18 , 19 , 212 , 213 , 214 , 215 , 216 , 217 ] or fractional Quantum Hall edges states, in which quantum noise measurements have been crucial to address and unveil the dynamics of fractionally charged excitations [ 218 , 219 , 220 , 221 , 222 , 223 , 224 , 225 , 226 , 227 , 228 , 229 , 230 , 231 , 232 , 233 , 234 , 235 ]. Additionally, the recent realization of noiseless levitons [ 8 , 9 , 10 , 11 , 12 ] paves the way to interesting perspectives to investigate flying anyons [ 13 , 220 , 236 ] and novel interesting dynamical effects [ 188 , 189 , 237 ].…”
Section: Discussionmentioning
confidence: 99%
“…In such systems the effective coupling between spin qubits can be established using ferromagnetic (FM) magnons [32][33][34], antiferromagnetic domain walls [35] or magnon waveguides [36]. An other promising approach to mitigate dissipation is to couple spin qubits via topological edge states in quantum Hall systems [37][38][39][40].…”
Section: Introductionmentioning
confidence: 99%
“…In such systems, the effective coupling between spin qubits can be established using ferromagnetic (FM) magnons [36][37][38][39], antiferromagnetic domain walls [40] or magnon waveguides [41]. An other promising approach to mitigate dissipation is to couple spin qubits via topological edge states in quantum Hall systems, which are remarkably robust against various types of disorder [42][43][44][45][46], promising a successful experimental implementation of high-fidelity quantum gates.…”
Section: Introductionmentioning
confidence: 99%