Time-resolved energy dynamics after single electron injection into an interacting helical liquid

Abstract

The possibility to inject a single electron into ballistic conductors is at the basis of the new field of electron quantum optics. Here, we consider a single electron injection into the helical edge channels of a topological insulator. Their counterpropagating nature and the unavoidable presence of electron-electron interactions dramatically affect the time evolution of the single wavepacket. Modeling the injection process from a mesoscopic capacitor in presence of non-local tunneling, we focus on the time resolved charge and energy packet dynamics. Both quantities split up into counterpropagating contributions whose profiles are strongly affected by the interactions strength. In addition, stronger signatures are found for the injected energy, which is also affected by the finite width of the tunneling region. Indeed, the energy flow can be controlled by tuning the injection parameters and we demonstrate that, in presence of non-local tunneling, it is possible to achieve situation in which charge and energy flow in opposite directions.

13 pages, 8 figures

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Cited by in corpus (23)

• Electron quantum optics as quantum signal processing
• Minimal excitation states for heat transport in driven quantum Hall systems
• Shaping charge excitations in chiral edge states with a time-dependent gate voltage
• Polarized heat current generated by quantum pumping in two-dimensional topological insulators
• Heat and charge transport measurements to access single-electron quantum characteristics
• Quench-induced entanglement and relaxation dynamics in Luttinger liquids
• Levitons in superconducting point contacts
• Electronic quantum optics beyond the integer quantum Hall effect
• Charge and energy fractionalization mechanism in one-dimensional channels
• A Topological SQUIPT based on helical edge states in proximity to superconductors
• Classical-to-quantum crossover in electron on-demand emission
• Non-equilibrium effects on charge and energy partitioning after an interaction quench
• Dynamical transport measurement of the Luttinger parameter in helical edges states of 2D topological insulators
• Probing interactions via non-equilibrium momentum distribution and noise in integer quantum Hall systems at $\nu =2$
• Interplay between Rashba interaction and electromagnetic field in the edge states of a 2D topological insulator
• Spectral properties of interacting helical channels driven by Lorentzian pulses
• Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
• Photoexcitation in two-dimensional topological insulators: Generating and controlling electron wavepackets in Quantum Spin Hall systems
• Coherent Transport of Levitons Through the Kondo Resonance
• Emission of entangled Kramers pairs from a helical mesoscopic capacitor
• Spin-charge separation in an Aharonov-Bohm interferometer
• Spin-polarized tunneling into helical edge states: asymmetry and conductances
• Quantum transport phenomena induced by time-dependent fields