Dynamics revealed by correlations of time-distributed weak measurements of a single spin

Abstract

We show that the correlations in stochastic outputs of time-distributed weak measurements can be used to study the dynamics of an individual quantum object, with a proof-of-principle setup based on small Faraday rotation caused by a single spin in a quantum dot. In particular, the third order correlation can reveal the "true" spin decoherence, which would otherwise be concealed by the inhomogeneous broadening effect in the second order correlations. The viability of such approaches lies in that (1) in weak measurement the state collapse which would disturb the system dynamics occurs at a very low probability, and (2) a shot of measurement projecting the quantum object to a known basis state serves as a starter or stopper of the evolution without pumping or coherently controlling the system as otherwise required in conventional spin echo.

5 pages 3 figures

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• Quantum Zeno effect as a topological phase transition in full counting statistics and spin noise spectroscopy
• Quantum nonlinear spectroscopy of single nuclear spins
• Phase transitions in sequential weak measurements
• Higher order moments, cumulants, and spectra of continuous quantum noise measurements
• Faraday rotation echo spectroscopy and detection of quantum fluctuations
• Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
• Quantum Zeno effect under continuous spin noise measurement in a quantum dot-micropillar cavity
• Spectroscopy of classical environmental noise with a qubit subjected to projective measurements
• Relationship between subjecting the qubit to dynamical decoupling and to a sequence of projective measurements
• Long-time coherence in fourth-order spin correlation functions
• Optical Resonance Shift Spin Noise Spectroscopy
• Fundamental limits for non-destructive measurement of a single spin by Faraday rotation
• Phase Diagram of the Dynamics of a Precessing Qubit under Quantum Measurement