Tomography of many-body weak values: Mach-Zehnder interferometry

Abstract

We propose and study a weak value (WV) protocol in the context of a solid state setup, specifically, an electronic Mach-Zehnder interferometer. This is the first specific proposal to measure both the real and imaginary part (i.e., complete tomography) of a WV. We also analyze the manifestation of many-body physics in the WV to be measured, including finite temperature and shot-noise-like contributions.

4+ pages, 2 figures

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• An Electronic Quantum Eraser
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• Weak Values from Displacement Currents in Multiterminal Electron Devices
• The information about the state of a qubit gained by a weakly coupled detector
• Weak and strong measurement of a qubit using a switching-based detector
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• Weak measurement with orthogonal pre-selection and post-selection
• Measuring average of non-Hermitian operator with weak value in a Mach-Zehnder interferometer
• Evolution of many-body systems under ancilla quantum measurements
• Estimation of Spin-Spin Interaction by Weak Measurement Scheme
• Localization, fractality, and ergodicity in a monitored qubit
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• Null weak values in multi-level systems
• Decoherence effects on weak value measurements in double quantum dots
• Weak measurement amplification in optomechanics via a squeezed coherent state pointer
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• The negative probabilities and information gain in weak measurements
• Weak values under uncertain conditions
• Standard and Null Weak Values
• Modified Kubo formula with a complex force term for weak measurement
• How to extract weak values from a mesoscopic electronic system
• Weak measurement of quantum superposition states in graphene