Faraday rotation echo spectroscopy and detection of quantum fluctuations

Abstract

Central spin decoherence is useful for detecting many-body physics in environments and moreover, the spin echo control can remove the effects of static thermal fluctuations so that the quantum fluctuations are revealed. The central spin decoherence approach, however, is feasible only in some special configurations and often requires uniform coupling between the central spin and individual spins in the baths, which are very challenging in experiments. Here, by making analogue between central spin decoherence and depolarization of photons, we propose a scheme of Faraday rotation echo spectroscopy (FRES) for studying quantum fluctuations in interacting spin systems. The echo control of the photon polarization is realized by flipping the polarization with a birefringence crystal. The FRES, similar to spin echo in magnetic resonance spectroscopy, can suppress the effects of the static magnetic fluctuations and therefore reveal dynamical magnetic fluctuations. We apply the scheme to a rare-earth compound LiHoF4 and calculate the echo signal, which is related to the quantum fluctuations of the system. We observe enhanced signals at the phase boundary. The FRES should be useful for studying quantum fluctuations in a broad range of spin systems, including cold atoms, quantum dots, solid-state impurities, and transparent magnetic materials.

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Cited by in corpus (7)

• The Theory of Spin Noise Spectroscopy: A Review
• Detection of a weak magnetic field via cavity enhanced Faraday rotation
• High-performance broadband Faraday rotation spectroscopy of 2D materials and thin magnetic films
• Collision-induced spin noise
• Spin-echo and quantum versus classical critical fluctuations in TmVO${}_4$
• LiHoF4 as a spin-half non-standard quantum Ising system
• Error-disturbance uncertainty relations in Faraday measurements