Efimovian three-body potential from broad to narrow Feshbach resonances

We analyse the change in the hyperradial Efimovian three-body potential as the two-body interaction is tuned from the broad to narrow Feshbach resonance regime. Here, it is known from both theory and experiment that the three-body dissociation scattering length $a_-$ shifts away from the universal value of $-9.7 \ r_{\mathrm{vdW}}$, with $r_{\mathrm{vdW}} = \frac{1}{2} \left(m C_6/\hbar^2 \right)^{1/4}$ the two-body van der Waals range. We model the three-body system using a separable two-body interaction that takes into account the full zero-energy behaviour of the multichannel wave function. We find that the short-range repulsive barrier in the three-body potential characteristic for single-channel models remains universal for narrow resonances, whilst the change in the three-body parameter originates from a strong decrease in the potential depth. From an analysis of the underlying spin structure we further attribute this behavior to the dominance of the two-body interaction in the resonant channel compared to other background interactions.Comment: 12 pages, 11 figure

Resonance triplet dynamics in the quenched unitary Bose gas

The quenched unitary Bose gas is a paradigmatic example of a strongly interacting out-of-equilibrium quantum system, whose dynamics become difficult to describe theoretically due to the growth of non-Gaussian quantum correlations. We develop a conserving many-body theory capable of capturing these effects, allowing us to model the post-quench dynamics in previously inaccessible time regimes. By comparing our results directly to experiment, we answer long-standing fundamental questions regarding the heating and population dynamics in the gas, specifically highlighting the dominance of strong lossless correlations rather than incoherent atomic losses. Our general framework, which reframes the dynamics of unitary quantum systems in terms of explicit connections to microscopic physics, can be broadly applied to any quantum system containing strong few-body correlations.Comment: 7 pages, 4 figure

Emergent inflation of the Efimov spectrum under three-body spin-exchange interactions

One of the most fascinating predictions of few-body quantum physics is the Efimov effect, a universal accumulation of an infinite geometric series of three-body bound states at a two-body scattering resonance. Ever since the first experimental observation of such an Efimov state, the precise characterization of their physical properties has continued to challenge few-body theory. This is demonstrated most strongly by the lithium few-body puzzle, a remarkable theoretical discrepancy with the observed Efimov spectrum in $^7 \text{Li}$. Here, we resolve this long-standing puzzle, demonstrating that the discrepancy arises out of the presence of strong non-universal three-body spin-exchange interactions. This conclusion is obtained from a thorough numerical solution of the quantum mechanical three-body problem, including precise interatomic interactions and all spin degrees of freedom for three alkali-metal atoms. Our results show excellent agreement with the experimental data regarding both the Efimov spectrum and the absolute rate constants of three-body recombination, and in addition reveal a general product propensity for such triatomic reactions in the Paschen-Back regime, stemming from Wigner's spin conservation rule.Comment: 7+5 pages, 3+2 figure

Cumulant theory of the unitary Bose gas: Prethermal and Efimovian dynamics

We study the quench of a degenerate ultracold Bose gas to the unitary regime, where interactions are as strong as allowed by quantum mechanics. We lay the foundations of a cumulant theory able to capture simultaneously the three-body Efimov effect and ergodic evolution. After an initial period of rapid quantum depletion, a universal prethermal stage is established characterized by a kinetic temperature and an emergent Bogoliubov dispersion law while the microscopic degrees of freedom remain far-from-equilibrium. Integrability is then broken by higher-order interaction terms in the many-body Hamiltonian, leading to a momentum-dependent departure from power law to decaying exponential behavior of the occupation numbers at large momentum. We find also signatures of the Efimov effect in the many-body dynamics and make a precise identification between the observed beating phenomenon and the binding energy of an Efimov trimer. Throughout the work, our predictions for a uniform gas are quantitatively compared with experimental results for quenched unitary Bose gases in uniform potentials.Comment: 34 pages, 12 figure

Articulated Model Registration of MRI/X-Ray Spine Data

Collection : Lecture Notes in Computer Science ; vol. 6112This paper presents a method based on articulated models for the registration of spine data extracted from multimodal medical images of patients with scoliosis. With the ultimate aim being the development of a complete geometrical model of the torso of a scoliotic patient, this work presents a method for the registration of vertebral column data using 3D magnetic resonance images (MRI) acquired in prone position and X-ray data acquired in standing position for five patients with scoliosis. The 3D shape of the vertebrae is estimated from both image modalities for each patient, and an articulated model is used in order to calculate intervertebral transformations required in order to align the vertebrae between both postures. Euclidean distances between anatomical landmarks are calculated in order to assess multimodal registration error. Results show a decrease in the Euclidean distance using the proposed method compared to rigid registration and more physically realistic vertebrae deformations compared to thin-plate-spline (TPS) registration thus improving alignment.IRS

A Method of Drusen Measurement Based on the Geometry of Fundus Reflectance

BACKGROUND: The hallmarks of age-related macular degeneration, the leading cause of blindness in the developed world, are the subretinal deposits known as drusen. Drusen identification and measurement play a key role in clinical studies of this disease. Current manual methods of drusen measurement are laborious and subjective. Our purpose was to expedite clinical research with an accurate, reliable digital method. METHODS: An interactive semi-automated procedure was developed to level the macular background reflectance for the purpose of morphometric analysis of drusen. 12 color fundus photographs of patients with age-related macular degeneration and drusen were analyzed. After digitizing the photographs, the underlying background pattern in the green channel was leveled by an algorithm based on the elliptically concentric geometry of the reflectance in the normal macula: the gray scale values of all structures within defined elliptical boundaries were raised sequentially until a uniform background was obtained. Segmentation of drusen and area measurements in the central and middle subfields (1000 μm and 3000 μm diameters) were performed by uniform thresholds. Two observers using this interactive semi-automated software measured each image digitally. The mean digital measurements were compared to independent stereo fundus gradings by two expert graders (stereo Grader 1 estimated the drusen percentage in each of the 24 regions as falling into one of four standard broad ranges; stereo Grader 2 estimated drusen percentages in 1% to 5% intervals). RESULTS: The mean digital area measurements had a median standard deviation of 1.9%. The mean digital area measurements agreed with stereo Grader 1 in 22/24 cases. The 95% limits of agreement between the mean digital area measurements and the more precise stereo gradings of Grader 2 were -6.4 % to +6.8 % in the central subfield and -6.0 % to +4.5 % in the middle subfield. The mean absolute differences between the digital and stereo gradings 2 were 2.8 +/- 3.4% in the central subfield and 2.2 +/- 2.7% in the middle subfield. CONCLUSIONS: Semi-automated, supervised drusen measurements may be done reproducibly and accurately with adaptations of commercial software. This technique for macular image analysis has potential for use in clinical research

Near-infrared reflectance imaging of neovascular age-related macular degeneration

Contains fulltext : 81007.pdf (publisher's version ) (Closed access)PURPOSE: To evaluate various types of neovascular age-related macular degeneration (AMD) by near-infrared fundus reflectance (NIR) as compared to fundus fluorescein angiography (FFA) and to test NIR for assessment of leakage due to choroidal neovascularization (CNV). PATIENTS AND METHODS: Thirty-three patients with neovascular AMD (cases) and 20 age-matched patients with non-exudative AMD and healthy subjects (controls) were examined with a confocal scanning laser ophthalmoscope (Heidelberg Retina Angiograph 2). NIR images of neovascular AMD were qualitatively compared to the corresponding FFA and to age-matched controls. CNV membranes and exudation areas were manually segmented on FFA and NIR and analyzed quantitatively. Results : Of all cases included, five eyes had classic CNV, six had minimal classic lesions, 15 occult CNV's and seven eyes had retinal angiomatous proliferation (RAP). A dark halo on NIR was found in all cases and showed high correspondence to leakage on FFA (r (2) = 0.93; p < 0,0005). In classic CNV and minimal classic CNV, the classic part of the lesion on FFA revealed strong correlation to a dark core surrounded by a bright reflecting ring on NIR (r (2) = 0.88; p < 0.0005). Occult parts on FFA of minimal classic CNV and occult CNV lesions appeared as poorly demarcated, jagged areas of increased NIR. RAP was characterized by speckled NIR located at the intraretinal neovascular complex. CONCLUSIONS: NIR imaging in neovascular AMD revealed characteristic alterations depending on the type of CNV. These changes may reflect histological differences of the lesions. Leakage caused local darkening of NIR, presumably originating from increased light-scattering and absorbance by fluid accumulation and sub-cellular structure alterations