Controlling spin relaxation with a cavity

Bienfait, Audrey; Pla, Jarryd; Kubo, Yuimaru; Zhou, Xin; Stern, Michael; Lo, C. C.; Weis, Christoph; Schenkel, T.; Vion, Denis; Estève, D.; Morton, John J. L.; Bertet, Patrice

doi:10.1038/nature16944

Cited by 158 publications

(171 citation statements)

References 40 publications

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“…The output power depends linearly on P in as long as P in < −131 dBm (blue lines is a linear fit), while the phase shift is zero (blue line) only for P in < −137 dBm. Rabi oscillations (obtained by sweeping the power of the 10-μs rectangular refocusing pulse in the Hahn echo sequence) are used to calibrate the pulses for subsequent experiments [41]. To avoid saturation of AMP as explained in the previous section, we purposely set the field far away from the maximum of the spin resonance line at B 0 ¼ 2.6 mT [see Fig.…”

Section: Esr Spectroscopy In the Presence Of Squeezingmentioning

confidence: 99%

“…6(a)], because decoherence occurs by nonradiative processes such as dipolar interactions [51]. Energy relaxation, on the other hand, has been shown to be caused by spontaneous emission of microwave photons through the cavity (the Purcell effect) with a rate T −1 1 ¼ 4g 2 =κ [41], g being the coupling of a single spin to the radiation field as defined in Sec. II.…”

Section: A Applicability Of the Schemementioning

confidence: 99%

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Magnetic Resonance with Squeezed Microwaves

et al. 2017

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Vacuum fluctuations of the electromagnetic field set a fundamental limit to the sensitivity of a variety of measurements, including magnetic resonance spectroscopy. We report the use of squeezed microwave fields, which are engineered quantum states of light for which fluctuations in one field quadrature are reduced below the vacuum level, to enhance the detection sensitivity of an ensemble of electronic spins at millikelvin temperatures. By shining a squeezed vacuum state on the input port of a microwave resonator containing the spins, we obtain a 1.2-dB noise reduction at the spectrometer output compared to the case of a vacuum input. This result constitutes a proof of principle of the application of quantum metrology to magnetic resonance spectroscopy.

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Section: Esr Spectroscopy In the Presence Of Squeezingmentioning

confidence: 99%

Section: A Applicability Of the Schemementioning

confidence: 99%

Magnetic Resonance with Squeezed Microwaves

et al. 2017

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“…To describe this interference effect, an extension of the McCoy and Ernst derivation13, which is based on electrical circuit description with a single nuclear susceptibility affecting the coil inductance, is not straightforward. Instead, in this regime where the contribution from spontaneous emission coupled to the cavity is weak29, we use generalized Bloch equations in which the rf fields include feed-back fields and randomly fluctuating fields12, for which several noise sources were considered: those resulting from the transverse magnetization and those resulting from the electronic Nyquist noise due to the resistive elements of the circuit.…”

Section: Resultsmentioning

confidence: 99%

Nonlinear detection of secondary isotopic chemical shifts in NMR through spin noise

et al. 2017

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The detection of minor species in the presence of large amounts of similar main components remains a key challenge in analytical chemistry, for instance, to obtain isotopic fingerprints. As an alternative to the classical NMR scheme based on coherent excitation and detection, here we introduce an approach based on spin-noise detection. Chemical shifts and transverse relaxation rates are determined using only the detection circuit. Thanks to a nonlinear effect in mixtures with small chemical shift dispersion, small signals on top of a larger one can be observed with increased sensitivity as bumps on a dip; the latter being the signature of the main magnetization. Experimental observations are underpinned by an analytical theory: the coupling between the magnetization and the coil provides an amplified detection capability of both small static magnetic field inhomogeneities and small NMR signals. This is illustrated by two-bond 12C/13C isotopic measurements.

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“…This will be important for hybrid donor-dot quantum computing schemes since the 5 GHz clock transition was recently predicted to form an avoided crossing with silicon based quantum dots 10 . This was discussed in the donor-dot surface code proposal by Pica et al 10 which also suggested addressing the clock transitions using microwave polarization.Bismuth donors in Si have a large hyperfine coupling which not only gives rise to a large zero field splitting, but also allows for rapid manipulation of both the electronic and nuclear spin states when operating in the intermediate field regime where the hyperfine coupling is comparable to the Zeeman splitting 8,[11][12][13] . In this regime we describe the states using the total spin, F , and its projection, m F 6 .…”

mentioning

confidence: 99%

“…Bismuth donors in Si have a large hyperfine coupling which not only gives rise to a large zero field splitting, but also allows for rapid manipulation of both the electronic and nuclear spin states when operating in the intermediate field regime where the hyperfine coupling is comparable to the Zeeman splitting 8,[11][12][13] . In this regime we describe the states using the total spin, F , and its projection, m F 6 .…”

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Addressing spin transitions onBi209donors in silicon using circularly polarized microwaves

et al. 2016

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Over the past decade donor spin qubits in isotopically enriched 28 Si have been intensely studied due to their exceptionally long coherence times. More recently bismuth donor electron spins have become popular because Bi has a large nuclear spin which gives rise to clock transitions (first-order insensitive to magnetic field noise). At every clock transition there are two nearly degenerate transitions between four distinct states which can be used as a pair of qubits. Here it is experimentally demonstrated that these transitions are excited by microwaves of opposite helicity such that they can be selectively driven by varying microwave polarization. This work uses a combination of a superconducting coplanar waveguide (CPW) microresonator and a dielectric resonator to flexibly generate arbitrary elliptical polarizations while retaining the high sensitivity of the CPW.Donors spins in Si are among the most promising quantum bits owing to their long coherence times (T 2 ) which exceed seconds in isotopically enriched 28 Si 1-4 . Bismuth donor electrons are particularly attractive because they have clock transitions which are first order insensitive to magnetic field noise [5][6][7][8][9] . This means that even in natural Si, electron spins can have long coherence times 5 . In Bi doped Si clock transitions come in pairs of nearly degenerate transitions separated by ∼1 MHz. These are predicted to be excited by microwaves of opposite circular polarization 7,10 . In this work we combine a coplanar waveguide microresonator (CPW) with a dielectric resonator to generate microwaves with tunable polarization. By varying this polarization, we demonstrate the selective addressability of the 7.03 GHz clock transitions. This will be important for hybrid donor-dot quantum computing schemes since the 5 GHz clock transition was recently predicted to form an avoided crossing with silicon based quantum dots 10 . This was discussed in the donor-dot surface code proposal by Pica et al 10 which also suggested addressing the clock transitions using microwave polarization.Bismuth donors in Si have a large hyperfine coupling which not only gives rise to a large zero field splitting, but also allows for rapid manipulation of both the electronic and nuclear spin states when operating in the intermediate field regime where the hyperfine coupling is comparable to the Zeeman splitting 8,[11][12][13] . In this regime we describe the states using the total spin, F , and its projection, m F 6 . The total spin is given by F = I ± S where I is the nuclear spin and S is the electron spin. At the 7.03 GHz clock transition the two nearly degenerate transitions are described in the |F, m F basis by |5, −1 ⇔ |4, −2 and |5, −2 ⇔ |4, −1 . In the high field limit the second transition is forbidden since it involves a nuclear spin flip, but due to strong mixing, both transitions are accessible near the clock transition. By convention we will still refer to the |5, −1 ⇔ |4, −2 transition as allowed and the |5, −2 ⇔ |4, −1 transition as forbidden. These transi...

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Controlling spin relaxation with a cavity

Cited by 158 publications

References 40 publications

Magnetic Resonance with Squeezed Microwaves

Magnetic Resonance with Squeezed Microwaves

Nonlinear detection of secondary isotopic chemical shifts in NMR through spin noise

Addressing spin transitions onBi209donors in silicon using circularly polarized microwaves

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