Nonequilibrium steady-state fluctuations in actively cooled resonators.

We analyze heat and work fluctuations in the gravitational wave detector AURIGA, modeled as a macroscopic electromechanical oscillator in contact with a thermostat and cooled by an active feedback system. The oscillator is driven to a steady state by the feedback cooling, equivalent to a viscous force. The experimentally measured fluctuations are in agreement with our theoretical analysis based on a stochastically driven Langevin system. The asymmetry of the fluctuations of the absorbed heat characterizes the oscillator's nonequilibrium steady state and reveals the extent to which a feedback cooled system departs from equilibrium in a statistical mechanics perspective.

Feedback cooling of the normal modes of a massive electromechanical system to submillikelvin temperature.

We apply a feedback cooling technique to simultaneously cool the three electromechanical normal modes of the ton-scale resonant-bar gravitational wave detector AURIGA. The measuring system is based on a dc superconducting quantum interference device (SQUID) amplifier, and the feedback cooling is applied electronically to the input circuit of the SQUID. Starting from a bath temperature of 4.2 K, we achieve a minimum temperature of 0.17 mK for the coolest normal mode. The same technique, implemented in a dedicated experiment at subkelvin bath temperature and with a quantum limited SQUID, could allow to approach the quantum ground state of a kilogram-scale mechanical resonator.

Loss budget of a setup for measuring mechanical dissipations of silicon wafers between 300 and 4 K.

A setup for measuring mechanical losses of silicon wafers has been fully characterized from room temperature to 4 K in the frequency range between 300 Hz and 4 kHz: it consists of silicon wafers with nodal suspension and capacitive and optical vibration sensors. Major contributions to mechanical losses are investigated and compared with experimental data scanning the full temperature range; in particular, losses due to the thermoelastic effect and to the wafer clamp are modeled via finite element method analysis; surface losses and gas damping are also estimated. The reproducibility of the measurements of total losses is also discussed and the setup capabilities for measuring additive losses contributed by thin films deposited on the wafers or bonding layers. For instance, assuming that additive losses are due to an 80-nm-thick wafer bond layer with Young modulus about ten times smaller than that of silicon, we achieve a sensitivity to bond losses at the level of 5x10(-3) at 4 K and at about 2 kHz.

Upper limits on gravitational-wave emission in association with the 27 Dec 2004 giant flare of SGR1806-20.

At the time when the giant flare of SGR1806-20 occurred, the AURIGA "bar" gravitational-wave (GW) detector was on the air with a noise performance close to stationary Gaussian. This allows us to set relevant upper limits, at a number of frequencies in the vicinities of 900 Hz, on the amplitude of the damped GW wave trains, which, according to current models, could have been emitted, due to the excitation of normal modes of the star associated with the peak in x-ray luminosity.

Experimental measurement of the dynamic photothermal effect in Fabry-Perot cavities for gravitational wave detectors.

We report the experimental observation of the frequency dependence of the photothermal effect. The measurements are performed by modulating the laser power absorbed by the mirrors of two high-finesse Fabry-Perot cavities. The results are very well described by a recently proposed theoretical model [M. Cerdonio, L. Conti, A. Heidmann, and M. Pinard, Phys. Rev. D 63, 082003 (2001)]], confirming the correctness of such calculations. Our observations and quantitative characterization of the dynamic photothermal effect demonstrate its critical importance for interferometric displacement measurements towards the quantum limit, as those necessary for gravitational wave detection.

Wideband dual sphere detector of gravitational waves.

We present the concept of a sensitive and broadband resonant mass gravitational wave detector. A massive sphere is suspended inside a second hollow one. Short, high-finesse Fabry-Perot optical cavities read out the differential displacements of the two spheres as their quadrupole modes are excited. At cryogenic temperatures, one approaches the standard quantum limit for broadband operation with reasonable choices for the cavity finesses and the intracavity light power. A molybdenum detector, of overall size of 2 m, would reach spectral strain sensitivities of 2x10(-23) Hz(-1/2) between 1000 and 3000 Hz.

First search for gravitational wave bursts with a network of detectors

We report the initial results from a search for bursts of gravitational radiation by a network of five cryogenic resonant detectors during 1997 and 1998. This is the first significant search with more than two detectors observing simultaneously. No gravitational wave burst was detected. The false alarm rate was lower than 1 per 10(4) yr when three or more detectors were operating simultaneously. The typical threshold was H approximately 4x10(-21) Hz-1 on the Fourier component at approximately 10(3) Hz of the gravitational wave strain amplitude. New upper limits for amplitude and rate of gravitational wave bursts have been set.

Spin equilibria in human methemoglobin: effects of bezafibrate and inositol hexaphosphate as measured by susceptometry and visible spectroscopy.

The effects of inositol hexaphosphate (IHP) and a second allosteric effector, bezafibrate, on the spin-state equilibria of the mixed-spin derivatives of ferric human hemoglobin A are examined. Changes in spin-state equilibrium are monitored by measuring absorption spectra in the visible region (460-700 nm) as well as by direct measurements of magnetic susceptibility by means of a superconducting fluxmeter. The addition of IHP at pH 6.5 results in a measurable shift in the spin equilibria of these derivatives toward higher spin. However, the addition of bezafibrate in the presence of IHP results in still larger shifts toward the high-spin form. The changes in the free energies of the spin-state equilibria resulting from the combination of these two effectors are similar in magnitude to that which results from the R-state to T-state transition in carp hemoglobin.

Studies on the linkage between spin equilibria and protein structure in carp ferric hemoglobin.

The effects of protein conformation on the spin-state equilibria of several derivatives of carp hemoglobin have been examined. This has been done by measuring the pH dependence of the paramagnetic susceptibilities of these derivatives in the presence and absence of inositol hexakisphosphate, P6-inositol. In all cases the addition of P6-inositol at low pH and the lowering of the pH in the presence of P6-inositol shift the spin-state equilibrium in favor of the high-spin electronic configuration. The P6-inositol and pH dependence of these magnetic properties parallels the pH and P6-inositol dependence of the conformational state of the hemoglobin as determined in earlier studies and further supports a thermodynamic linkage between the electronic state of the iron atoms and the quaternary structure of the hemoglobin molecule.

Reexamination of the evidence for paramagnetism in oxy- and carbonmonoxyhemoglobins.

Experiments have been carried out in an attempt to confirm previous reports of paramagnetism in the oxy- and carbonmonoxy derivatives of human and carp hemoglobin. When care is taken to ensure complete saturation of the hemoglobins with ligand and the diamagnetic contributions of all of the buffers are carefully evaluated, these hemoglobin derivatives are found to have the same gram susceptibilities as exhibited by a set of metal free proteins, suggesting that they are fully diamagnetic.

A high-resolution proton nuclear-magnetic-resonance investigation of carp hemoglobin. Conformational differences between carp and human normal adult hemoglobins in solution.

The high-resolution proton nuclear magnetic resonance spectra of carp hemoglobin have been compared to those of human normal adult hemoglobin. Carp deoxy and carbonmonoxy hemoglobins in the deoxy-type quaternary state exhibit two downfield exchangeable proton resonances as compared to four seen in human normal adult deoxyhemoglobin. This suggests that two of the hydrogen bonds present in human normal adult deoxyhemoglobin are absent or occur in very different environments in carp hemoglobin. One of the exchangeable proton resonances of carp hemoglobin, while present in the deoxy-type quaternary state of the carbonmonoxy and deoxy derivatives, is absent in the oxy-type quaternary state of both, in agreement with the assignments of these quaternary structures by other methods. The ring-current-shifted proton resonances (sensitive tertiary structural markers) of carp carbonmonoxyhemoglobin are substantially different from those of human normal adult hemoglobin. The aromatic proton resonance region of carp hemoglobin has fewer resonances than that of human normal adult hemoglobin, consistent with its much reduced histidine content. The hyperfine-shifted proximal histidyl NH-exchangeable proton resonances of carp hemoglobin suggest that during the transition from the oxy to the deoxy quaternary structure, there is a greater alteration in the heme pocket of one type of subunits (presumably the beta chain) than that in the other subunit. The present results suggest that there are differences in both tertiary and quaternary structures between carp and human normal adult hemoglobins which could contribute to the great differences in the functional properties between these two proteins.

Quaternary structure and spin equilibria in ferric hemoglobins. A room temperature study.

The effective magnetic moments for a number of human and carp methemoglobin derivatives were determined in solution at room temperature. The data permit us to confirm the dependence of the spin-state equilibrium of azide methemoglobin on the quarternary state of the hemoglobin and to demonstrate a similar dependence for both human and carp aquomethemoglobin. In addition, the pH dependence of the effective magnetic moment and the Soret spectrum of carp azidemethemoglobin are compared.

Magnetic and spectral properties of carp carbonmonoxyhemoglobin. Competitive effects of chloride ions and inositol hexakisphosphate.

We have extended our studies on the magnetic properties of carp carbonmonoxyhemoglobin and the dependence of these properties upon solution variables. Using an improved version of the superconducting magnetometer, we have found that the magnetic susceptibility of carp carbonmonoxyhemoglobin is sensitive to both inositol hexakisphosphate and chloride ion. The dependence upon chloride ion concentration is complex. At relatively low concentrations this anion reverses the effect of inositol hexakisphosphate, restoring paramagnetism. At higher chloride concentrations the protein is converted to a roughly diamagnetic state in the absence of inositol hexakisphosphate. Along with these susceptibility studies, we have examined the effects of these anions on other properties of carp carbonmonoxyhemoglobin. The positions of the Soret bands of human and carp methemoglobin derivatives are correlated with spin state; changes in the magnetic susceptibility of carbonmonoxyhemoglobin are similarly associated with alterations in this spectral band. We have also examined the effects of these anions on the proton nuclear magnetic resonance spectrum of carp carbonmonoxyhemoglobin. Both chloride and inositol hexakisphosphate alter the position of the proton resonances in the ring-current-shifted region of the spectrum.