Minimal excitation states for heat transport in driven quantum Hall systems

Abstract

We investigate minimal excitation states for heat transport into a fractional quantum Hall system driven out of equilibrium by means of time-periodic voltage pulses. A quantum point contact allows for tunneling of fractional quasi-particles between opposite edge states, thus acting as a beam splitter in the framework of the electron quantum optics. Excitations are then studied through heat and mixed noise generated by the random partitioning at the barrier. It is shown that levitons, the single-particle excitations of a filled Fermi sea recently observed in experiments, represent the cleanest states for heat transport, since excess heat and mixed shot noise both vanish only when Lorentzian voltage pulses carrying integer electric charge are applied to the conductor. This happens in the integer quantum Hall regime and for Laughlin fractional states as well, with no influence of fractional physics on the conditions for clean energy pulses. In addition, we demonstrate the robustness of such excitations to the overlap of Lorentzian wavepackets. Even though mixed and heat noise have nonlinear dependence on the voltage bias, and despite the non-integer power-law behavior arising from the fractional quantum Hall physics, an arbitrary superposition of levitons always generates minimal excitation states.

15 pages, 7 figures

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Cited by in corpus (31)

• Charging and energy fluctuations of a driven quantum battery
• A Josephson frequency for fractionally charged anyons
• Crystallization of Levitons in the fractional quantum Hall regime
• Hong-Ou-Mandel characterization of multiply charged Levitons
• Collisional interferometry of Levitons in quantum Hall edge channels at $\nu =2$
• Levitons in superconducting point contacts
• Minimal-excitation single-particle emitters: A comparison of charge and energy transport properties
• Hong-Ou-Mandel heat noise in the quantum Hall regime
• Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
• Beating Carnot efficiency with periodically driven chiral conductors
• Enhancing photon squeezing one Leviton at a time
• Probing charge and heat current noise by frequency-dependent temperature and potential fluctuations
• Probing interactions via non-equilibrium momentum distribution and noise in integer quantum Hall systems at $\nu =2$
• Multi-particle interference in an electronic Mach-Zehnder interferometer
• High-temperature fusion of a multi-electron leviton
• Influence of channel mixing in fermionic Hong-Ou-Mandel experiments
• Photoassisted shot noise spectroscopy at fractional filling factor
• Spectral properties of interacting helical channels driven by Lorentzian pulses
• Photoexcitation in two-dimensional topological insulators: Generating and controlling electron wavepackets in Quantum Spin Hall systems
• Driven quantum dot coupled to a fractional quantum Hall edge
• Electronic wave-packets in integer quantum Hall edge channels: relaxation and dissipative effects
• Interaction effects and charge quantization in single-particle quantum dot emitters
• Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
• Quasiparticles states for integer- and fractional-charged electron wave packets
• Levitons in correlated nano-scale systems
• Correlated two-Leviton states in the fractional quantum Hall regime
• Suppression of the radiation squeezing in interacting quantum Hall edge channels
• Hybrid interacting quantum Hall thermal machine
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Quantum transport phenomena induced by time-dependent fields
• Periodic source of energy-entangled electrons in helical states coupled to a BCS superconductor