Virtual photons in magnetic resonance

Engelke, Frank

doi:10.1002/cmr.a.20166

Cited by 11 publications

(7 citation statements)

References 107 publications

(370 reference statements)

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“…In particular, we present a theoretical model for how a high-Q resonator (cavity) may be used to actively drive each coupled angular momentum subspaces of a ensemble spin system to a state with purity equal to that of the cavity on a timescale significantly shorter than the thermal T 1 of the spins. Our model is motivated by recent studies that describe magnetic resonance in terms of quantum optics (for example, [14][15][16][17][18][19]). The ability to reduce the effective T 1 time of a spin ensemble by simply applying a detuned microwave drive provides an important tool for error correcting spinbased quantum information processors (for example [20][21][22] and references therein), and should also find applications in spectroscopy by permitting faster signal averaging.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Cavity Cooling of an Ensemble Spin System

2014

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We describe how sideband cooling techniques may be applied to large spin ensembles in magnetic resonance. Using the Tavis-Cummings model in the presence of a Rabi drive, we solve a Markovian master equation describing the joint spin-cavity dynamics to derive cooling rates as a function of ensemble size. Our calculations indicate that the coupled angular momentum subspaces of a spin ensemble containing roughly 10(11) electron spins may be polarized in a time many orders of magnitude shorter than the typical thermal relaxation time. The described techniques should permit efficient removal of entropy for spin-based quantum information processors and fast polarization of spin samples. The proposed application of a standard technique in quantum optics to magnetic resonance also serves to reinforce the connection between the two fields, which has recently begun to be explored in further detail due to the development of hybrid designs for manufacturing noise-resilient quantum devices.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Cavity Cooling of an Ensemble Spin System

2014

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“…This frequency ω/2π is not to be confused with the NMR frequency ω 0 /2π . The motion of the magnetic dipoles (spins) produces a time-dependent magnetic field and the same spin system relaxes via the ω = ω 0 Fourier component (single spin flips) and the ω = 2ω 0 56 for a discussion of the role of virtual photons in a quantum field theoretic description of the detection of an NMR signal.) The correlation time (the mean time between instantaneous methyl group rotational hops) is assumed to be given by an Arrhenius relation τ = τ ∞ exp(E NMR /kT) for NMR activation energy, E NMR , and "infinite temperature correlation time", τ ∞ .…”

Section: Theoretical Expressions For the Relaxation Rate And The Omentioning

confidence: 99%

Methyl group rotation, 1H spin-lattice relaxation in an organic solid, and the analysis of nonexponential relaxation

Beckmann

Schneider

2012

The Journal of Chemical Physics

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We report 1 H spin-lattice relaxation measurements in polycrystalline 4,4 -dimethoxybiphenyl at temperatures between 80 and 300 K at NMR frequencies of ω 0 /2π = 8.50, 22.5, and 53.0 MHz. The data are interpreted in terms of the simplest possible Bloch-Wangsness-Redfield methyl group hopping model. Different solid states are observed at low temperatures. The 1 H spin-lattice relaxation is nonexponential at higher temperatures where a stretched-exponential function fits the data very well, but this approach is phenomenological and not amenable to theoretical interpretation. (We provide a brief literature review of the stretched-exponential function.) The Bloch-Wangsness-Redfield model applies only to the relaxation rate that characterizes the initial 1 H magnetization decay in a high-temperature nonexponential 1 H spin-lattice relaxation measurement. A detailed procedure for determining this initial relaxation rate is described since large systematic errors can result if this is not done carefully.

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“…As already said, these semiclassical approximations concern observable time evolutions. We point out that [36] (see also [20]) adresses a similar issue.…”

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confidence: 75%

“…The aim of this work is then to carry on the study of a symbolic calculus and to apply it to the semiclassical limit of the evolution for a quantum field model in Nuclear Magnetic Resonance (NMR), see Section 4.11 in [44], [20] and [36]. In this perspective, we are here interested in the interaction between N spin- 1 2 particles with the quantized electromagnetic field together with a constant external magnetic field.…”

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confidence: 99%

Infinite dimensional semiclassical analysis and applications to a model in nuclear magnetic resonance

Amour

Jager

Nourrigat

2019

Journal of Mathematical Physics

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We are interested in this paper with the connection between the dynamics of a model related to Nuclear Magnetic Resonance (NMR) in Quantum Field Theory (QFT) with its classical counterpart known as the Maxwell-Bloch equations. The model in QFT is a model of Quantum Electrodynamics (QED) considering fixed spins interacting with the quantized electromagnetic field in an external constant magnetic field. This model is close to the common spin-boson model. The classical model goes back to F. Bloch [15] in 1946. Our goal is not only to study the derivation of the Maxwell-Bloch equations but to also establish a semiclassical asymptotic expansion of arbitrary high orders with control of the error terms of this standard nonlinear classical motion equations. This provides therefore quantum corrections of any order in powers of the semiclassical parameter of the Bloch equations. Besides, the asymptotic expansion for the photon number is also analyzed and a law describing the photon number time evolution is written down involving the radiation field polarization. Since the quantum photon state Hilbert space (radiation field) is infinite dimensional we are thus concerned in this article with the issue of semiclassical calculus in an infinite dimensional setting. In this regard, we are studying standard notions as Wick and anti-Wick quantizations, heat operator, Beals characterization theorem and compositions of symbols in the infinite dimensional context which can have their own interest.

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Virtual photons in magnetic resonance

Cited by 11 publications

References 107 publications

Cavity Cooling of an Ensemble Spin System

Cavity Cooling of an Ensemble Spin System

Methyl group rotation, 1H spin-lattice relaxation in an organic solid, and the analysis of nonexponential relaxation

Infinite dimensional semiclassical analysis and applications to a model in nuclear magnetic resonance

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