Cross-correlation spin noise spectroscopy of heterogeneous interacting spin systems (original) (raw)
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Spin noise spectroscopy beyond thermal equilibrium and linear response
Physical review letters, 2014
Per the fluctuation-dissipation theorem, the information obtained from spin fluctuation studies in thermal equilibrium is necessarily constrained by the system's linear response functions. However, by including weak radio frequency magnetic fields, we demonstrate that intrinsic and random spin fluctuations even in strictly unpolarized ensembles can reveal underlying patterns of correlation and coupling beyond linear response, and can be used to study nonequilibrium and even multiphoton coherent spin phenomena. We demonstrate this capability in a classical vapor of (41)K alkali atoms, where spin fluctuations alone directly reveal Rabi splittings, the formation of Mollow triplets and Autler-Townes doublets, ac Zeeman shifts, and even nonlinear multiphoton coherences.
Measurements of spin properties of atomic systems in and out of equilibrium via noise spectroscopy
Optics Express, 2018
We explore the applications of spin noise spectroscopy (SNS) for detection of the spin properties of atomic ensembles in and out of equilibrium. In SNS, a linearly polarized far-detuned probe beam on passing through an ensemble of atomic spins acquires the information of the spin correlations of the system which is extracted using its time-resolved Faraday-rotation noise. We measure various atomic, magnetic and sub-atomic properties as well as perform precision magnetometry using SNS in rubidium atomic vapor in thermal equilibrium. Thereafter, we manipulate the relative spin populations between different ground state hyperfine levels of rubidium by controlled optical pumping which drives the system out of equilibrium. We then apply SNS to probe such spin imbalance nonperturbatively. We further use this driven atomic vapor to demonstrate that SNS can have better resolution than typical absorption spectroscopy in detecting spectral lines in the presence of various spectral broadening mechanisms. I. INTRODUCTION Control of spin population and its simultaneous nondestructive detection play a crucial role in diverse scientific fields such as atom interferometry [1], precision magnetometry [2], atomic clocks [3], quantum simulation [4] and quantum information processing [5]. While external magnetic fields and optical pumping can be used to manipulate the spin polarization and population in an atomic system, spin noise spectroscopy (SNS) [6-8] provides a means of the detection of such spin coherences
Spectroscopy of spontaneous spin noise as a probe of spin dynamics and magnetic resonance
Not all noise in experimental measurements is unwelcome. Certain fundamental noise sources contain valuable information about the system itself—a notable example being the inherent voltage fluctuations (Johnson noise) that exist across any resistor, which allow the temperature to be determined1,2. In magnetic systems, fundamental noise can exist in the form of random spin fluctuations3,4. For example, statistical fluctuations of N paramagnetic spins should generate measurable noise of order ffiffiffiffi N p spins, even in zero magnetic field5,6. Here we exploit this effect to perform perturbation-free magnetic resonance. We use offresonant Faraday rotation to passively7,8 detect the magnetization noise in an equilibrium ensemble of paramagnetic alkali atoms; the random fluctuations generate spontaneous spin coherences that precess and decay with the same characteristic energy and timescales as the macroscopic magnetization of an intentionally polarized or driven ensemble. Correlation spectra of the measured spin noise reveal g-factors, nuclear spin, isotope abundance ratios, hyperfine splittings, nuclear moments and spin coherence lifetimes—without having to excite, optically pump or otherwise drive the system away from thermal equilibrium. These noise signatures scale inversely with interaction volume, suggesting a possible route towards non-perturbative, sourceless magnetic resonance of small systems.
Optical Spectroscopy of Spin Noise
Physical Review Letters, 2013
Spontaneous fluctuations of the magnetization of a spin system in thermodynamic equilibrium (spin noise) manifest themselves as noise in the Faraday rotation of probe light. We show that the correlation properties of this noise over the optical spectrum can provide clear information about the composition of the spin system that is largely inaccessible for conventional linear optics. Such optical spectroscopy of spin noise, e.g., allows us to clearly distinguish between optical transitions associated with different spin subsystems, to resolve optical transitions that are unresolvable in the usual optical spectra, to unambiguously distinguish between homogeneously and inhomogeneously broadened optical bands, and to evaluate the degree of inhomogeneous broadening. These new possibilities are illustrated by theoretical calculations and by experiments on paramagnets with different degrees of inhomogeneous broadening of optical transitions [atomic vapors of 41 K and singly charged (In,Ga)As quantum dots].
Spin noise spectroscopy" (SNS) is a powerful optical technique for probing electron and hole spin dynamics that is based on detecting their intrinsic and random fluctuations while in thermal equilibrium, an approach guaranteed by the fluctuation-dissipation theorem. Because SNS measures fluctuation properties rather than conventional response functions, we show that fluctuation correlations can be exploited in multi-probe noise studies to reveal information that in general cannot be accessed by conventional linear optical spectroscopy, such as the underlying homogeneous linewidths of individual constituents within inhomogeneously-broadened systems. This is demonstrated in an ensemble of singly-charged (In,Ga)As quantum dots using two weak probe lasers: When the two lasers have the same wavelength, they are sensitive to the same QDs in the ensemble and their spin fluctuation signals are correlated. In contrast, two probe lasers that are widely detuned from each other measure different subsets of QDs, leading to uncorrelated fluctuations. Measuring the noise correlation versus laser detuning directly reveals the QD homogeneous linewidth even in the presence of a strong inhomogeneous broadening. Such noise-based correlation techniques are not limited to semiconductor spin systems, but can be widely applied to any system in which intrinsic fluctuations are measurable.
Spatiotemporal Spin Noise Spectroscopy
Physical Review Letters, 2019
We report on the potential of a new spin noise spectroscopy approach by demonstrating all-optical probing of spatiotemporal spin fluctuations. This is achieved by homodyne mixing of a spatially phasemodulated local oscillator with spin-flip scattered light, from which the frequency and wave vector dependence of the spin noise power is unveiled. As a first application of the method we measure the spatiotemporal spin noise in weakly n-doped CdTe layers, from which the electron spin diffusion constant and spin relaxation rates are determined. The absence of spatial spin correlations is also shown for this particular system.
Nature communications, 2014
Spin noise spectroscopy" (SNS) is a powerful optical technique for probing electron and hole spin dynamics that is based on detecting their intrinsic and random fluctuations while in thermal equilibrium, an approach guaranteed by the fluctuation-dissipation theorem. Because SNS measures fluctuation properties rather than conventional response functions, we show that fluctuation correlations can be exploited in multi-probe noise studies to reveal information that in general cannot be accessed by conventional linear optical spectroscopy, such as the underlying homogeneous linewidths of individual constituents within inhomogeneously-broadened systems. This is demonstrated in an ensemble of singly-charged (In,Ga)As quantum dots using two weak probe lasers: When the two lasers have the same wavelength, they are sensitive to the same QDs in the ensemble and their spin fluctuation signals are correlated. In contrast, two probe lasers that are widely detuned from each other measure different subsets of QDs, leading to uncorrelated fluctuations. Measuring the noise correlation versus laser detuning directly reveals the QD homogeneous linewidth even in the presence of a strong inhomogeneous broadening. Such noise-based correlation techniques are not limited to semiconductor spin systems, but can be widely applied to any system in which intrinsic fluctuations are measurable.
Effects of spin-exchange collisions on the fluctuation spectra of hot alkali-metal vapors
Physical review, 2022
We present a first-principles analysis of the noise spectra of alkali-metal-metal vapors in and out of the spin-exchange-relaxation-free (SERF) regime, and we predict non-intuitive features with a potential to further improve the sensitivity of SERF media, and which must be taken into account in their use in quantum optical applications. Studying the process of spin-noise spectroscopy (SNS), we derive analytic formulas for the observable noise spectra, and for the correlation functions among different hyperfine components, which give additional insight into the spin dynamics. The analytic results indicate a variety of distortions of the spin-noise spectrum relative to simpler models, including a broad spectral background that mimics optical shot noise, interference of noise contributions from the two ground-state hyperfine levels, noise reduction at the spin-precession frequency, and "hiding" of spin-noise power that can introduce a systematic error in noise-based calibrations, e.g., for spin-squeezing experiments.
Spin noise spectroscopy of quantum dot molecules
Physical Review B, 2013
We discuss advantages and limitations of the spin noise spectroscopy for characterization of interacting quantum dot systems on specific examples of individual singly and doubly charged quantum dot molecules (QDMs). It is shown that all the relevant parameters of the QDMs including tunneling amplitudes with spin-conserving and spin-non-conserving interactions, decoherence rates, Coulomb repulsions, anisotropic g-factors and the distance between the dots can be determined by measuring properties of the spin noise power spectrum.
Two-beam spin noise spectroscopy
Applied Physics Letters, 2013
We propose a method of two-beam spin noise spectroscopy to test the spin transport at equilibrium via analysis of correlations between time-shifted spin fluctuations at different space locations. This method allows one to determine the strength of spin-orbit interaction and spin relaxation time and separate spin noise of conducting electrons from the background noise of localized electrons. We formulate a theory of two-beam spin noise spectroscopy in semiconductor wires with Bychkov-Rashba spin-orbit interaction taking into account several possible spin relaxation channels and finite size of laser beams. Our theory predicts a peak shift with respect to the Larmor frequency to higher or lower frequencies depending on the strength of spin orbit interaction and distance between the beams. The two-beam spin noise spectroscopy could find applications in experimental studies of semiconductors, emergent materials and many other systems.