Relaxation times of molecular ions OH? in glasses at very low temperature

Bernard, L.; Piché, L.; Schumacher, G.; Joffrin, J.

doi:10.1007/bf00115589

Cited by 46 publications

(19 citation statements)

References 13 publications

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“…The factor b defining the linear temperature dependence in (5.90) is in good agreement with that obtained via measurements of spontaneous echoes (Bernard et al (1979)), where b Rl 10 6 K-Is-I has been observed, and the echo measurements in Suprasil-I (Baier et al (1988)) where b Rl 2 X 10 6 K-Is-I has been found.…”

Section: As We Have Already Mentioned the Interaction Ofts's Is Weaksupporting

confidence: 83%

“…5.1.7 [see e.g Bernard et al (1979), Kleiman et al (1987), Baier et al (1988), Enss et al (1990), Classen et al (1994), Esquinazi et al (1992), Esquinazi et al (1994), Rogge et al (1996b)]. 5.1.7 [see e.g Bernard et al (1979), Kleiman et al (1987), Baier et al (1988), Enss et al (1990), Classen et al (1994), Esquinazi et al (1992), Esquinazi et al (1994), Rogge et al (1996b)].…”

Section: Theoretical Approaches To the Relaxation Of Tunneling Systemsmentioning

confidence: 99%

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Tunneling Systems in Amorphous and Crystalline Solids

Esquinazi¹

1998

126

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Section: As We Have Already Mentioned the Interaction Ofts's Is Weaksupporting

confidence: 83%

Section: Theoretical Approaches To the Relaxation Of Tunneling Systemsmentioning

confidence: 99%

Tunneling Systems in Amorphous and Crystalline Solids

Esquinazi¹

1998

126

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“…The defect dipole electric coupling has been measured in dielectric absorption experiments and takes the value |d| = 0.3 − 3.3 Debye for silica [66]. Hence, for comparable mode volumes photons and phonons couple to defects with the nearly same strength.…”

Section: Theory Of Defect-phonon/defect-photon Interactions In Mmentioning

confidence: 99%

Dimensional transformation of defect-induced noise, dissipation, and nonlinearity

Behunin

Intravaia²,

Rakich

2016

Phys. Rev. B

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In recent years, material-induced noise arising from defects has emerged as an impediment to quantum-limited measurement in systems ranging from microwave qubits to gravity wave interferometers. As experimental systems push to ever smaller dimensions, extrinsic system properties can affect its internal material dynamics. In this paper, we identify surprising new regimes of material physics (defect-phonon and defect-defect dynamics) that are produced by dimensional confinement. Our models show that a range of tell-tale signatures, encoded in the characteristics of defect-induced noise, dissipation, and nonlinearity, are profoundly altered by geometry. Building on this insight, we demonstrate that the magnitude and character of this material-induced noise is transformed in microscale systems, providing an opportunity to improve the fidelity of quantum measurements. Moreover, we show that many emerging nano-electromechanical, cavity optomechanical and superconducting resonator systems are poised to probe these new regimes of dynamics, in both high and low field limits, providing a new way to explore the fundamental tenets of glass physics.

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“…Even if they are required by consistency (see above and Ref. [24]), these two terms do not exist in the pionneering works accounting either for the small instationnarities [5] or for echo experiments [28], [29], [30]. In fact these two terms play a negligible role in the nonlinear susceptibility.…”

Section: Iii) Final Form Of the Bloch Equationsmentioning

confidence: 99%

Onset of the nonlinear dielectric response of glasses in the two-level system model

Cochec¹,

Ladieu²

2003

Eur. Phys. J. B

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We have calculated the real part χ ′ of the nonlinear dielectric susceptibility of amorphous insulators in the kHz range, by using the two-level system model and a nonperturbative numerical quantum approach. At low temperature T , it is first shown that the standard two-level model should lead to a decrease of χ ′ when the measuring field E is raised, since raising E increases the population of the upper level and induces Rabi oscillations cancelling the ones induced from the ground level. This predicted E-induced decrease of χ ′ is at odds with experiments. However, a good agreement with low-frequency experimental nonlinear data is achieved if, in our fully quantum simulations, interactions between defects are taken into account by a new relaxation rate whose efficiency increases as √ E, as was proposed recently by Burin et al. (Phys. Rev. Lett. 86, 5616 (2001)). In this approach, the behavior of χ ′ at low T is mainly explained by the efficiency of this new relaxation channel. This new relaxation rate could be further tested since it is shown that it should lead: i) to a completely new nonlinear behavior for samples whose thickness is ≃ 10 nm; ii) to a decrease of nonequilibrium effects when E is increased. PACS numbers: 61.43.Fs,77.22.Ch,72.20.Ht Amorphous materials exhibit universal anomalous properties at low temperature. In 1971, Zeller and Pohl [1] discovered below 1 K a quasilinear behavior of the specific heat in a number of glasses contrasting with the Debye law of crystalline materials. Anderson, Halperin, Varma [2] and Phillips [3] proposed an explaination based upon the existence of localized two-level systems (TLS). Their origin may be due to the tunneling of atoms or groups of atoms between two equilibrium positions separated by a narrow energy barrier featuring asymmetric two-well potentials. They are assumed randomly distributed in energy splittings and tunneling barriers as a consequence of the structural disorder of these materials. This model has proven to be successful to understand most salient experimental features.The standard TLS model assumes defects do not interact with one another. However, defects are strongly coupled to their environment and can emit or absorb phonons. It leads to an indirect interaction between nearest neighbors via the phonon field [4]. Certain recent failures to explain nonequilibrium data (at a few kHz) [5] underscore the likely involvement of these interactions below 100 mK. However, these nonequilibrium effects are small corrections of the kHz stationnary response, and, up to recently, examples of stationnary susceptibilities strongly affected by interactions were very rare : in the kHz regime, it was argued that the ultra-low-T (T ≃ 1 mK) plateau of the dielectric constant in the linear regime, strongly different from the expected logarithmic increase, resulted from interactions [6]. Very recently, such a conclusion was drawn from internal friction experiments [7].In this work, we show that including interactions in the TLS model with a recently proposed m...

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Relaxation times of molecular ions OH? in glasses at very low temperature

Cited by 46 publications

References 13 publications

Tunneling Systems in Amorphous and Crystalline Solids

Tunneling Systems in Amorphous and Crystalline Solids

Dimensional transformation of defect-induced noise, dissipation, and nonlinearity

Onset of the nonlinear dielectric response of glasses in the two-level system model

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