Few Versus Many-Body Physics of an Impurity Immersed in a Superfluid of Spin 1/2 Attractive Fermions.

In this Letter we investigate the properties of an impurity immersed in a superfluid of strongly correlated spin 1/2 fermions and we calculate the beyond-mean-field corrections to the energy of a weakly interacting impurity. We show that these corrections are divergent and have to be regularized by properly accounting for three-body physics in the problem and that our approach naturally provides a unifying framework for Bose and Fermi polaron physics.

Exploring the thermodynamics of a universal Fermi gas.

One of the greatest challenges in modern physics is to understand the behaviour of an ensemble of strongly interacting particles. A class of quantum many-body systems (such as neutron star matter and cold Fermi gases) share the same universal thermodynamic properties when interactions reach the maximum effective value allowed by quantum mechanics, the so-called unitary limit. This makes it possible in principle to simulate some astrophysical phenomena inside the highly controlled environment of an atomic physics laboratory. Previous work on the thermodynamics of a two-component Fermi gas led to thermodynamic quantities averaged over the trap, making comparisons with many-body theories developed for uniform gases difficult. Here we develop a general experimental method that yields the equation of state of a uniform gas, as well as enabling a detailed comparison with existing theories. The precision of our equation of state leads to new physical insights into the unitary gas. For the unpolarized gas, we show that the low-temperature thermodynamics of the strongly interacting normal phase is well described by Fermi liquid theory, and we localize the superfluid transition. For a spin-polarized system, our equation of state at zero temperature has a 2 per cent accuracy and extends work on the phase diagram to a new regime of precision. We show in particular that, despite strong interactions, the normal phase behaves as a mixture of two ideal gases: a Fermi gas of bare majority atoms and a non-interacting gas of dressed quasi-particles, the fermionic polarons.

2.1-watts intracavity-frequency-doubled all-solid-state light source at 671 nm for laser cooling of lithium.

We present an all-solid-state laser source emitting up to 2.1 W of single-frequency light at 671 nm developed for laser cooling of lithium atoms. It is based on a diode-pumped, neodymium-doped orthovanadate (Nd:YVO(4)) ring laser operating at 1342 nm. Optimization of the thermal management in the gain medium results in a maximum multi-frequency output power of 2.5 W at the fundamental wavelength. We develop a simple theory for the efficient implementation of intracavity second harmonic generation, and its application to our system allows us to obtain nonlinear conversion efficiencies of up to 88%. Single-mode operation and tuning is established by adding an etalon to the resonator. The second-harmonic wavelength can be tuned over 0.5 nm, and mode-hop-free scanning over more than 6 GHz is demonstrated, corresponding to around ten times the laser cavity free spectral range. The output frequency can be locked with respect to the lithium D-line transitions for atomic physics applications. Furthermore, we observe parametric Kerr-lens mode-locking when detuning the phase-matching temperature sufficiently far from the optimum value.

Spin drag of a Fermi gas in a harmonic trap.

Using a Boltzmann equation approach, we analyze how the spin drag of a trapped interacting fermionic mixture is influenced by the nonhomogeneity of the system in a classical regime where the temperature is much larger than the Fermi temperature. We show that for very elongated geometries, the spin damping rate can be related to the spin conductance of an infinitely long cylinder. We characterize analytically the spin conductance both in the hydrodynamic and collisionless limits and discuss the influence of the velocity profile. Our results are in good agreement with recent experiments and provide a quantitative benchmark for further studies of spin drag in ultracold gases.

Lifetime of the Bose gas with resonant interactions.

We study the lifetime of a Bose gas at and around unitarity using a Feshbach resonance in lithium 7. At unitarity, we measure the temperature dependence of the three-body decay coefficient L(3). Our data follow a L(3)=λ(3)/T(2) law with λ(3)=2.5(3)(stat)(6)(syst)×10(-20) (µK)(2) cm(6) s(-1) and are in good agreement with our analytical result based on zero-range theory. Varying the scattering length a at fixed temperature, we investigate the crossover between the finite-temperature unitary region and the previously studied regime where |a| is smaller than the thermal wavelength. We find that L(3) is continuous across the resonance, and over the whole a<0 range our data quantitatively agree with our calculation.

Fermi-liquid behavior of the normal phase of a strongly interacting gas of cold atoms.

We measure the magnetic susceptibility of a Fermi gas with tunable interactions in the low-temperature limit and compare it to quantum Monte Carlo calculations. Experiment and theory are in excellent agreement and fully compatible with the Landau theory of Fermi liquids. We show that these measurements shed new light on the nature of the excitations of the normal phase of a strongly interacting Fermi gas.

Stigmasterol: a phytosterol with potential anti-osteoarthritic properties.

OBJECTIVE: Although most studies have focused on the cholesterol-lowering activity of stigmasterol, other bioactivities have been ascribed to this plant sterol compound, one of which is a potential anti-inflammatory effect. To investigate the effects of stigmasterol, a plant sterol, on the inflammatory mediators and metalloproteinases produced by chondrocytes. METHOD: We used a model of newborn mouse chondrocytes and human osteoarthritis (OA) chondrocytes in primary culture stimulated with or without IL-1beta (10 ng/ml), for 18 h. Cells were pre-incubated for 48 h with stigmasterol (20 microg/ml) compared to untreated cells. We initially investigated the presence of stigmasterol in chondrocyte, compared to other phytosterols. We then assessed the role of stigmasterol on the expression of various genes involved in inflammation (IL-6) and cartilage turn-over (MMP-3, -13, ADAMTS-4, -5, type II collagen, aggrecan) by quantitative Reverse Transcriptase-Polymerase Chain Reaction (RT-PCR). Additional experiments were carried out to monitor the production of MMP-3 and prostaglandin E2 (PGE(2)) by specific immuno-enzymatic assays. We eventually looked at the role of stigmasterol on NF-kappaB activation by western blot, using an anti-IkappaBalpha antibody. RESULTS: After 18 h of IL-1beta treatment, MMP-3, MMP-13, ADAMTS-4, but not ADAMTS-5 RNA expression were elevated, as well as MMP-3 and PGE(2) protein levels in mouse and human chondrocytes. Type II collagen and aggrecan mRNA levels were significatively reduced. Pre-incubation of stigmasterol to IL-1beta-treated cells significantly decreased these effects described above (significant reduction of MMP-3 mRNA in human and mouse, MMP-3 protein in mouse, MMP-13 mRNA in mouse and human, ADAMTS-4 mRNA in human, PGE(2) protein in human and mouse) Finally, stigmasterol was capable of counteracting the IL-1beta-induced NF-kappaB pathway. CONCLUSION: This study shows that stigmasterol inhibits several pro-inflammatory and matrix degradation mediators typically involved in OA-induced cartilage degradation, at least in part through the inhibition of the NF-kappaB pathway. These promising results justify further ex vivo and in vivo investigations with stigmasterol.

Collective oscillations of an imbalanced Fermi gas: axial compression modes and polaron effective mass.

We investigate the low-lying compression modes of a unitary Fermi gas with imbalanced spin populations. For low polarization, the strong coupling between the two spin components leads to a hydrodynamic behavior of the cloud. For large population imbalance we observe a decoupling of the oscillations of the two spin components, giving access to the effective mass of the Fermi polaron, a quasiparticle composed of an impurity dressed by particle-hole pair excitations in a surrounding Fermi sea. We find m*/m = 1.17(10), in agreement with the most recent theoretical predictions.

Age and origin of major Smith-Lemli-Opitz syndrome (SLOS) mutations in European populations.

BACKGROUND: Smith-Lemli-Opitz syndrome (SLOS) (MIM 270 400) is an autosomal recessive multiple congenital anomalies/mental retardation syndrome caused by mutations in the Delta7-sterol reductase (DHCR7, E.C.1.3.1.21) gene. The prevalence of SLOS has been estimated to range between 1:15000 and 1:60000 in populations of European origin. METHODS AND RESULTS: We have analysed the frequency, origin, and age of DHCR7 mutations in European populations. In 263 SLOS patients 10 common alleles (c.964-1G>C, p.Trp151X, p.Thr93Met, p.Val326Leu, p.Arg352Trp, p.Arg404Cys, p.Phe302Leu, p.Leu157Pro, p.Gly410Ser, p.Arg445Gln) were found to constitute approximately 80% of disease-causing mutations. As reported before, the mutational spectra differed significantly between populations, and frequency peaks of common mutations were observed in North-West (c.964-1G>C), North-East (p.Trp151X, p.Val326Leu) and Southern Europe (p.Thr93Met). SLOS was virtually absent from Finland. The analysis of nearly 8000 alleles from 10 different European populations confirmed a geographical distribution of DHCR7 mutations as reported in previous studies. The common Null mutations in Northern Europe (combined ca. 1:70) occurred at a much higher frequency than expected from the reported prevalence of SLOS. In contrast the most common mutation in Mediterranean SLOS patients (p.Thr93Met) had a low population frequency. Haplotypes were constructed for SLOS chromosomes, and for wild-type chromosomes of African and European origins using eight cSNPs in the DHCR7 gene. The DHCR7 orthologue was sequenced in eight chimpanzees (Pan troglodytes) and three microsatellites were analysed in 50 of the SLOS families in order to estimate the age of the three major SLOS-causing mutations. CONCLUSIONS: The results indicate a time of first appearance of c.964-1G>C and p.Trp151X some 3000 years ago in North-West and North-East Europe, respectively. The p.Thr93Met mutations on the J haplotype has probably first arisen approximately 6000 years ago in the Eastern Mediterranean. Together, it appears that a combination of founder effects, recurrent mutations, and drift have shaped the present frequency distribution of DHCR7 mutations in Europe.

Non-Abelian adiabatic geometric transformations in a cold strontium gas.

Topology, geometry, and gauge fields play key roles in quantum physics as exemplified by fundamental phenomena such as the Aharonov-Bohm effect, the integer quantum Hall effect, the spin Hall, and topological insulators. The concept of topological protection has also become a salient ingredient in many schemes for quantum information processing and fault-tolerant quantum computation. The physical properties of such systems crucially depend on the symmetry group of the underlying holonomy. Here, we study a laser-cooled gas of strontium atoms coupled to laser fields through a four-level resonant tripod scheme. By cycling the relative phases of the tripod beams, we realize non-Abelian SU(2) geometrical transformations acting on the dark states of the system and demonstrate their non-Abelian character. We also reveal how the gauge field imprinted on the atoms impact their internal state dynamics. It leads to a thermometry method based on the interferometric displacement of atoms in the tripod beams.

The activation of rat platelets increases the exposure of polyunsaturated fatty acid enriched phospholipids on the external leaflet of the plasma membrane.

Rat platelets have been hydrogenated in the presence of colloidal palladium adsorbed on the surface of the non water-soluble polymer polyvinylpolypyrrolidone. This non-permeating catalyst restricts hydrogenation of the fatty acyl double bonds of phospholipids only in the outer half of the plasma membrane. The pattern of hydrogenation of the molecular species present on the external side of the membrane is determined using desorption-chemical soft ionization-mass spectrometry (DCI-MS) before and after cell activation by the calcium ionophore A23187. The accessibility to the catalyst of the polyunsatured molecular species within each phospholipid class is compared for resting and activated cells. The abundance of polyunsaturated species of phosphatidyl-ethanolamine and -serine in the inner half of the resting biomembrane is confirmed in rat platelets. Phosphatidylcholine is especially rich in disaturated species in this membrane. The induced exposure of the polyunsaturated species of diacyl- and ether-phosphatidylethanolamine, and of phosphatidylserine on the external side of the membrane appears after activation by the calcium ionophore. A detailed quantitative analysis within a phospholipid class shows an unequal scrambling for diacyl-, alkyl-, alkenyl-phosphatidylethanolamine, and a variable involvement in the transmembrane redistribution following cell activation of the various molecular species as a function of the acyl moities.

Polyunsaturated fatty acid enrichment increases ultraviolet A-induced lipid peroxidation in NCTC 2544 human keratinocytes.

The influence of cell enrichment with fatty acids with increasing degree of unsaturation on the ultraviolet A-induced formation of lipid-peroxidation products (thiobarbituric acid reactive substances [TBARS]) has been investigated in NCTC 2544 human keratinocytes. A 48-h preculture of cells in controlled medium supplemented with unsaturated fatty acids resulted in a marked increase in TBARS appearance under ultraviolet A exposure. This effect was dependent upon the degree of unsaturation of the fatty acids, with the following order of efficiency: arachidonic > linolenic > linoleic > oleic acid. For arachidonic acid (AA), the potentiating effect on ultraviolet A-induced lipid peroxidation was dependent upon the fatty acid concentration, with about a 2.5-fold increase in TBARS formation in cells pre-cultured with 5 x 10(-5) M AA, then exposed to a UVA dose of 13 J/cm2. The increase in TBARS formation by AA was almost totally prevented by supplementation of cells with 5 x 10(-5) M vitamin E, whereas buthionine sulfoximine, a chemical which depletes cell glutathione, potentiated lipid peroxidation. These results suggest that the nature of the fatty acids of cellular lipids could influence the response of keratinocytes to ultraviolet A, and especially the ultraviolet A-induced lipid peroxidation.

Role of cholesterol in embryonic development.

We showed previously that 3 distal inhibitors of cholesterol synthesis are highly teratogenic in rats. AY 9944 and BM 15766 inhibit 7-dehydrocholesterol reductase, which catalyzes the last step of cholesterol synthesis, and triparanol inhibits Delta(24)-dehydrocholesterol reductase, which catalyzes the last step in another pathway. These molecules cause holoprosencephalic brain anomalies. Under certain experimental conditions, other anomalies (of the limbs and male genitalia) are also observed. Assays performed by gas chromatography-mass spectrometry (GC-MS) show hypocholesterolemia and an accumulation of precursors. These data indicate that this animal model can be considered a model of Smith-Lemli-Opitz syndrome. Smith-Lemli-Opitz syndrome is a recessive autosomal genetic disease characterized by malformations (microcephaly, corpus callosum agenesis, holoprosencephaly, and mental retardation), male pseudohermaphroditism, finger anomalies, and failure to thrive. The syndrome has been attributed to a deficit in 7-dehydrocholesterol reductase. As assayed by GC-MS, the sterol status of these patients indicates severe hypocholesterolemia and an accumulation of precursors: 7-dehydrocholesterol, 8-dehydrocholesterol, and oxidized derivatives. The presence of 7-dehydrocholesterol in the serum of patients is pathognomonic of the disease. The developmental gene Shh (sonic hedgehog) plays a key role in brain, limb, and genital development; it was shown recently that the Shh protein has to be covalently linked to cholesterol to be active. This is the first time that a posttranslational function has been attributed to cholesterol. There is an obvious relation between Shh dysfunction and the malformations observed in our experiments and in patients with Smith-Lemli-Opitz syndrome. However, the exact relation remains to be clarified. It is clear, however, that the role of cholesterol in embryonic development must be taken into account.

Measurement of the angular momentum of a rotating bose-einstein condensate

We study the quadrupole oscillation of a Bose-Einstein condensate of 87Rb atoms confined in an axisymmetric magnetic trap, after it has been stirred by an auxiliary laser beam. The stirring may lead to the nucleation of one or more vortices, whose presence is revealed unambiguously by the precession of the axes of the quadrupolar mode. For a stirring frequency Omega below the single vortex nucleation threshold Omega(c), no measurable precession occurs. Just above Omega(c), the angular momentum deduced from the precession is approximately Planck's over 2pi. For stirring frequencies above Omega(c) the angular momentum is a smooth and increasing function of Omega, until an angular frequency is reached at which the vortex lattice disappears.

Vortex formation in a stirred bose-einstein condensate

Using a focused laser beam we stir a Bose-Einstein condensate of 87Rb confined in a magnetic trap and observe the formation of a vortex for a stirring frequency exceeding a critical value. At larger rotation frequencies we produce states of the condensate for which up to four vortices are simultaneously present. We have also measured the lifetime of the single vortex state after turning off the stirring laser beam.

A unique pool of free arachidonate serves as substrate for both cyclooxygenase and lipoxygenase in platelets.

Stimulation of platelets induces a rapid release of arachidonate from specific phospholipids and subsequent remodeling of arachidonate-containing phospholipids. This process is accompanied by transformation of released arachidonate by cyclooxygenase and lipoxygenase enzymes. We addressed the question of whether the cyclooxygenase and the lipoxygenase products originated from the same arachidonate-containing phospholipids. [14C]Arachidonate prelabeled platelets were stimulated by thrombin or by ionophore A 23187. We monitored the cyclooxygenase pathway by following 12-hydroxy-5,8,10-heptadecatrienoic acid [12(S)-HHT] formation and the lipoxygenase pathway by following 12-hydroxy-5,8,10,14-eicosatetraenoic acid [12(S)-HETE] formation and compared specific activities. The data showed that the same pool of released arachidonate can be utilized by either cyclooxygenase or by lipoxygenase. Indeed, the specific activity of both products was identical when both enzymes were acting. Since cyclooxygenase was rapidly deactivated while lipoxygenase continued to be active, the specific activity of 12(S)-HETE became lower than the specific activity of 12(S)-HHT when large amounts of 12(S)-HETE were synthesized. Based on comparison of specific activity between phospholipids and oxygenated products, the pools of arachidonate-containing phospholipids involved in the synthesis of oxygenated products are dependent on the amount of arachidonate released.

[Clinical characteristics and diagnosis of Smith-Lemli-Opitz syndrome and tentative phenotype-genotype correlation: report of 45 cases]. / Circonstances cliniques du diagnostic du syndrome de Smith-Lemli-Opitz et tentatives de corrélation phénotype-génotype: à propos de 45 cas.

INTRODUCTION: SLO (Smith-Lemli-Opitz) syndrome is an autosomal recessive multiple congenital malformations syndrome, including mental retardation, failure to thrive, craniofacial abnormalities, incomplete development of male genitalia, limb anomalies and various internal organ abnormalities. This syndrome is caused by a deficiency of cholesterol biosynthesis at the distal step of 7-dehydrocholesterol reductase (7DHCR). PATIENTS AND METHODS: We have reviewed 45 cases of SLO syndrome and showed the large clinical spectrum of this syndrome. RESULTS: The prenatal diagnosis should be considered when dealing with antenatal growth retardation and visceral malformations. At birth, a normal weight does not systematically exclude the diagnosis. Diagnosis was more difficult for older children especially for girls and should be suspected on the association of mental retardation, autism, short stature and microcephaly. We found a correlation between low plasmatic cholesterol measurement and clinical severity. Phenotype-genotype correlation was difficult to establish. However, homozygosity for IVS8-1G > C splice site mutation was associated with severe phenotype. CONCLUSION: Better understanding of the 7DHCR gene regulation factors and of the compensatory mechanism of foeto-maternal cholesterol transfer are necessary to explain the wide clinical spectrum of the SLO syndrome.

A mixture of Bose and Fermi superfluids.

Superconductivity and superfluidity of fermionic and bosonic systems are remarkable many-body quantum phenomena. In liquid helium and dilute gases, Bose and Fermi superfluidity has been observed separately, but producing a mixture in which both the fermionic and the bosonic components are superfluid is challenging. Here we report on the observation of such a mixture with dilute gases of two lithium isotopes, lithium-6 and lithium-7. We probe the collective dynamics of this system by exciting center-of-mass oscillations that exhibit extremely low damping below a certain critical velocity. Using high-precision spectroscopy of these modes, we observe coherent energy exchange and measure the coupling between the two superfluids. Our observations can be captured theoretically using a sum-rule approach that we interpret in terms of two coupled oscillators.

The equation of state of a low-temperature Fermi gas with tunable interactions.

Interacting fermions are ubiquitous in nature, and understanding their thermodynamics is an important problem. We measured the equation of state of a two-component ultracold Fermi gas for a wide range of interaction strengths at low temperature. A detailed comparison with theories including Monte-Carlo calculations and the Lee-Huang-Yang corrections for low-density bosonic and fermionic superfluids is presented. The low-temperature phase diagram of the spin-imbalanced gas reveals Fermi liquid behavior of the partially polarized normal phase for all but the weakest interactions. Our results provide a benchmark for many-body theories and are relevant to other fermionic systems such as the crust of neutron stars.

Self-consistent theory of capillary-gravity-wave generation by small moving objects.

We investigate theoretically the onset of capillary-gravity waves created by a small object moving at the water-air interface. It is well established that, for straight uniform motion, no steady waves appear at velocities below the minimum phase velocity c(min)=23 cm/s. At higher velocities, the emission of capillary-gravity waves creates an additional drag force. The behavior of this force near the critical velocity is still poorly understood. A linear-response theory where the object is replaced by an effective pressure source predicts a singular behavior for the wave drag. However, experimental data tend to indicate a more continuous transition. In this paper, we show that a proper treatment of the flow equations around the obstacle can regularize wave emission, even in the linear wave approximation, thereby ensuring a continuous behavior of the drag force.