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

**Flavio Ronetti 1,2, Matteo Acciai 1,2,3, Dario Ferraro 1,3,\*, Jérôme Rech 2, Thibaut Jonckheere 2, Thierry Martin 2 and Maura Sassetti 1,3**


Received: 27 June 2019; Accepted: 23 July 2019; Published: 25 July 2019

**Abstract:** We investigate the photo-assisted charge-heat mixed noise and the heat noise generated by periodic drives in Quantum Hall states belonging to the Laughlin sequence. Fluctuations of the charge and heat currents are due to weak backscattering induced in a quantum point contact geometry and are evaluated at the lowest order in the tunneling amplitude. Focusing on the cases of a cosine and Lorentzian periodic drive, we show that the different symmetries of the photo-assisted tunneling amplitudes strongly affect the overall profile of these quantities as a function of the AC and DC voltage contributions, which can be tuned independently in experiments.

**Keywords:** electron quantum optics; photo-assisted noise; charge and heat fluctuations
