Hong-Ou-Mandel heat noise in the quantum Hall regime

Abstract

We investigate heat current fluctuations induced by a periodic train of Lorentzian-shaped pulses, carrying an integer number of electronic charges, in a Hong-Ou-Mandel interferometer implemented in a quantum Hall bar in the Laughlin sequence. We demonstrate that the noise in this collisional experiment cannot be reproduced in a setup with a single drive, in contrast to what is observed in the charge noise case. Nevertheless, the simultaneous collision of two identical levitons always leads to a total suppression even for the Hong-Ou-Mandel heat noise at all filling factors, despite the presence of emergent anyonic quasi-particle excitations in the fractional regime. Interestingly, the strong correlations characterizing the fractional phase are responsible for a remarkable oscillating pattern in the HOM heat noise, which is completely absent in the integer case. These oscillations can be related to the recently predicted crystallization of levitons in the fractional quantum Hall regime.

Symmetry Properties of Mixed and Heat Photo-Assisted Noise in the Quantum Hall Regime

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“…In the perturbative expansions of Equations (57) and (58), the only surviving terms are S (11) X and S (11) Q , since one can show that [50,66] S…”

Electronic Wave-Packets in Integer Quantum Hall Edge Channels: Relaxation and Dissipative Effects

“…However, the actual implementation of this idea in realistic solid-state devices is seriously undermined by the presence of interaction among the electrons in the system and with the external environment—effects with no parallel in the photonic case. The role of Coulomb interaction has been extensively discussed both in order to properly understand the experimental observations achieved for integer states at filling factor [ 14 , 20 , 21 , 22 , 23 , 24 ] and to predict new features occurring in the strongly interacting fractional QH regime [ 25 , 26 , 27 , 28 , 29 , 30 ] or in more exotic low-dimensional systems [ 31 , 32 , 33 , 34 , 35 ]. Conversely, the role of energy dissipation towards external degrees of freedom of individual electrons is still largely unexplored.…”

Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact

“…Another remarkable experimental configuration of EQO is provided by the Hong-Ou-Mandel (HOM) interferometer [37], where two sources of single electrons are placed on the opposite side of a scatterer, say the QPC and delayed by a tunable time [6,13,17,35,38,39]. When two electrons collide at zero time delay at the QPC, charge noise is known to vanish at zero temperature, thus showing the so called Pauli dip, which is a consequence of the anti-bunching effect imposed by fermionic nature of electrons [6,28,35,[40][41][42][43][44][45][46].…”