Nonsymmetrized Correlations in Quantum Noninvasive Measurements

Abstract

A long-standing problem in quantum mesoscopic physics is which operator order corresponds to noise expressions like <I(-ω)I(ω)>, where I(ω) is the measured current at frequency ω. Symmetrized order describes a classical measurement while nonsymmetrized order corresponds to a quantum detector, e.g., one sensitive to either emission or absorption of photons. We show that both order schemes can be embedded in quantum weak-measurement theory taking into account measurements with memory, characterized by a memory function which is independent of a particular experimental detection scheme. We discuss the resulting quasiprobabilities for different detector temperatures and how their negativity can be tested on the level of second-order correlation functions already. Experimentally, this negativity can be related to the squeezing of the many-body state of the transported electrons in an ac-driven tunnel junction.

5+2 pages, 1 figure

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• Experimental Violation Of Bell-like Inequalities By Electronic Shot Noise
• Multiple quasiparticle Hall spectroscopy investigated with a resonant detector
• Cavity squeezing by a quantum conductor
• Emission of Microwave Photon Pairs by a Tunnel Junction
• Electron and electron-hole quasiparticle states in a driven quantum contact
• Nonsymmetrized noise in a quantum dot: Interpretation in terms of energy transfer and coherent superposition of scattering paths
• Unified time-dependent perturbative relations applied to spectroscopy through photo-drag current
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• Noise Dynamics in the Quantum Regime
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