Quantum energy teleportation (QET) is a proposed protocol related to the quantum vacuum. The edge channels in a quantum Hall system is well suited for the experimental verification of QET. For this purpose, we examine a charge density wave excited and detected by capacitively coupled front gate electrodes. We observe the waveform of the charge density wave, which is proportional to the time derivative of the applied square voltage wave. Further, we study the transmission and reflection behaviors of the charge density wave by applying a voltage to another front gate electrode to control the path of the edge state. We show that the threshold voltages where the dominant direction is switched in either transmission or reflection for dense and sparse waves are different from the threshold voltage where the current stops flowing in an equilibrium state.The physics of the quantum vacuum and its fluctuations (zero-point fluctuations) have attracted considerable attention in various fields of modern physics 1 . Quantum energy teleportation (QET) is one quantumvacuum-related protocol 2,3 . By this protocol, the local zero-point energy is extracted from a remote place by only sending classical information, which does not carry energy but contains how to extract energy from the local vacuum. In order to verify this quantum protocol by experiment, a quantum Hall (QH) system has been theoretically suggested to be the best suited physical system 4,5 . The QH states consist of two regions-bulk and edge. When a strong perpendicular magnetic field is applied to the two-dimensional (2D) electrons, the orbital degree of freedom of the electrons in the bulk region is quantized and does not contribute to the transport. However, electrons in the edge region can flow without backscattering, leading to a zero longitudinal resistance 6 . Using intriguing properties of edge channels and the charge density waves propagating along them, pioneering experiments have been performed 7-10,12

No abstract

By using observations from pump-probe stroboscopic confocal microscopy and spectroscopy, we demonstrate the dynamics of trions and the fractional quantum Hall edge on the order of ∼1 ps. The propagation of the quantum Hall edge state excited by a voltage pulse is detected as a temporal change in reflectance in the downstream edge probed by optical pulses synchronized with the voltage pulse. The temporal resolution of such stroboscopic pump-probe measurements is as fast as the duration time of the probe pulse (∼1 ps). This ultra-fast stroboscope measurement enables us to distinguish between the normal mode of edge excitation, known as the edge magneto-plasmon or charge density wave, and other high-energy non-linear excitations. This is the only experimental method available to study the ultra-fast dynamics of quantum Hall edges and makes it possible to derive the metric tensor gμν of the (1+1)=2-dimensional curved spacetime in quantum universe and black hole analogs implemented in the quantum Hall edge.