Quantum noise with exchange and tunnelling: predictions for a two-particle scattering experiment with time-dependent oscillatory potentials

Abstract

Quantum noise with exchange and tunneling is studied within time-dependent wave packets. A novel expression for the quantum noise of two identical particles injected simultaneously from opposite sides of a tunneling barrier is presented. Such quantum noise expression provides a physical (non-spurious) explanation for the experimental detection of two electrons at the same side under static potentials. Numerical simulations of the two-particle scattering probabilities in a double barrier potential with an oscillatory well are performed. The dependence of the quantum noise on the electron energy and oscillatory frequency are analyzed. The peculiar behaviour of the dependence of the quantum noise on such parameters is proposed as a test about the soundness of this novel quantum noise expression, for either static or oscillatory potentials. arXiv:1511.00608v1 [quant-ph] 2 Nov 2015Quantum noise with exchange and tunneling.

Introduction: Unsolved Problems on Noise

“…Therefore, the quant um noise of very simple (not complex) systems is still very intriguing. For example, the quantum noise in simple two-particle systems with tunneling and exchange is actually a relevant topic of research [8,9]. The measurement itself is an unavoidable source of randomness that has to be carefully taken into account in quantum systems [10], specifically when the measurement (collapse of the system) is repeated many times to get information on the high frequency dynamics [11].…”