Non-Markovian effects in quantum system: an exact stochastic mean-field treatment

A quantum Monte-Carlo is proposed to describe fusion/fission processes when fluctuation and dissipation, with memory effects, are important. The new theory is illustrated for systems with inverted harmonic potentials coupled to a heat-bath.Comment: Proceedings of the international conference: "Nuclear Structure and related topics, Dubna, June (2009

Quantum Monte-Carlo method applied to Non-Markovian barrier transmission

In nuclear fusion and fission, fluctuation and dissipation arise due to the coupling of collective degrees of freedom with internal excitations. Close to the barrier, both quantum, statistical and non-Markovian effects are expected to be important. In this work, a new approach based on quantum Monte-Carlo addressing this problem is presented. The exact dynamics of a system coupled to an environment is replaced by a set of stochastic evolutions of the system density. The quantum Monte-Carlo method is applied to systems with quadratic potentials. In all range of temperature and coupling, the stochastic method matches the exact evolution showing that non-Markovian effects can be simulated accurately. A comparison with other theories like Nakajima-Zwanzig or Time-ConvolutionLess ones shows that only the latter can be competitive if the expansion in terms of coupling constant is made at least to fourth order. A systematic study of the inverted parabola case is made at different temperatures and coupling constants. The asymptotic passing probability is estimated in different approaches including the Markovian limit. Large differences with the exact result are seen in the latter case or when only second order in the coupling strength is considered as it is generally assumed in nuclear transport models. On opposite, if fourth order in the coupling or quantum Monte-Carlo method is used, a perfect agreement is obtained.Comment: 10 pages, 6 figures, to be published in Phys. Rev.

Functional approach for pairing in finite systems: How to define restoration of broken symmetries in Energy Density Functional theory ?

The Multi-Reference Energy Density Functional (MR-EDF) approach (also called configuration mixing or Generator Coordinate Method), that is commonly used to treat pairing in finite nuclei and project onto particle number, is re-analyzed. It is shown that, under certain conditions, the MR-EDF energy can be interpreted as a functional of the one-body density matrix of the projected state with good particle number. Based on this observation, we propose a new approach, called Symmetry-Conserving EDF (SC-EDF), where the breaking and restoration of symmetry are accounted for simultaneously. We show, that such an approach is free from pathologies recently observed in MR-EDF and can be used with a large flexibility on the density dependence of the functional.Comment: proceeding of the conference "Many body correlations from dilute to dense Nuclear systems", Paris, February 201

Description of Pairing correlation in Many-Body finite systems with density functional theory

Different steps leading to the new functional for pairing based on natural orbitals and occupancies proposed in ref. [D. Lacroix and G. Hupin, arXiv:1003.2860] are carefully analyzed. Properties of quasi-particle states projected onto good particle number are first reviewed. These properties are used (i) to prove the existence of such a functional (ii) to provide an explicit functional through a 1/N expansion starting from the BCS approach (iii) to give a compact form of the functional summing up all orders in the expansion. The functional is benchmarked in the case of the picked fence pairing Hamiltonian where even and odd systems, using blocking technique are studied, at various particle number and coupling strength, with uniform and random single-particle level spacing. In all cases, a very good agreement is found with a deviation inferior to 1% compared to the exact energy.Comment: 14 pages, 9 figure

Density-matrix functionals for pairing in mesoscopic superconductors

A functional theory based on single-particle occupation numbers is developed for pairing. This functional, that generalizes the BCS approach, directly incorporates corrections due to particle number conservation. The functional is benchmarked with the pairing Hamiltonian and reproduces perfectly the energy for any particle number and coupling.Comment: 4 pages, 4 figures, revised versio

Ab initio alpha-alpha scattering

Processes involving alpha particles and alpha-like nuclei comprise a major part of stellar nucleosynthesis and hypothesized mechanisms for thermonuclear supernovae. In an effort towards understanding alpha processes from first principles, we describe in this letter the first ab initio calculation of alpha-alpha scattering. We use lattice effective field theory to describe the low-energy interactions of nucleons and apply a technique called the adiabatic projection method to reduce the eight-body system to an effective two-cluster system. We find good agreement between lattice results and experimental phase shifts for S-wave and D-wave scattering. The computational scaling with particle number suggests that alpha processes involving heavier nuclei are also within reach in the near future.Comment: 6 pages, 6 figure

Exercise electrocardiogram in middle-aged and older leisure time sportsmen: 100 exercise tests would be enough to identify one silent myocardial ischemia at risk for cardiac event

BACKGROUND: The importance of exercise electrocardiogram (ECG) has been controversial in the prevention of cardiac events among sportsmen. The aim of this study was to determine the frequency of silent myocardial ischemia (SMI) from an exercise ECG and its relationship with induced coronary angiographic assessment and potentially preventable cardiac events. METHODS: This prospective cohort study included leisure time asymptomatic sportsmen over 35years old, referred from 2011 to 2014 in the Sports Medicine Unit of the University Hospital of Saint-Etienne. RESULTS: Of the cohort of 1500 sportsmen (1205 men; mean age 50.7±9.4years; physical activity level 32.8±26.8MET-h/week), 951 (63%) had at least one cardiovascular disease (CVD) risk factor. Family history, medical examination and standard resting 12-lead were collected. A total of 163 exercise ECGs (10.9%) were defined as positive, most of them due to SMI (n=129, 8.6%). SMI was an indication for coronary angiography in 23 cases, leading to 17 documented SMIs (1.1%), including 11 significant stenoses requiring revascularization. In multivariate logistic regression analysis, a high risk of CVD (OR=2.65 [CI 95%: 1.33-5.27], p=0.005) and an age >50years (OR=2.71 [CI 95%: 1.65-4.44], p<0.0001) were independently associated with confirmed SMI. CONCLUSIONS: The association of positive exercise ECG with significant coronary stenosis was stronger among sportsmen with CVD risk factors and older than 50years. Screening by exercise ECG can lower the risk of cardiac events in middle-aged and older sportsmen. One hundred tests would be enough to detect one silent myocardial ischemia at risk for cardiac event

An innovative cardiac rehabilitation based on the power-force-velocity profile to further improve cardiorespiratory capacities in coronary artery disease patients: CITIUS study.

Individually optimizing the training programme of cardiac rehabilitation (CR) remains a major concern among coronary artery disease (CAD) patients. The power-force-velocity profile (PFVP) for a given task is usually assessed to improve performance in athletes through individualized training. Therefore, assessing PFVP on stationary cycle ergometer may allow better personalization of CR programme. The aim of this study was to compare the effects of a new CR customized based on patient's PFVP vs. a traditional CR in CAD patients on cardiorespiratory, biological, and muscular systems. A total of 86 patients participated in this study. The 3-week intervention consisted of physical training sessions (4/week) and therapeutic education workshops (1/week). Experimental group patients followed a specific cycle ergometer training programme focusing on their less developed PFVP quality. Control patients attended a conventional CR programme. Cardiopulmonary exercise test (VO <sub>2</sub> at the first ventilatory threshold, VT <sub>1</sub> , and the peak), blood tests [LDL and HDL cholesterol (LDL-C and HDL-C)], and handgrip and quadriceps force were assessed at baseline and after CR. The mean age was 60.8 ± 9.6 years, and 15% were women. A significantly greater benefit in VO <sub>2</sub> <sub>peak</sub> (experimental: +21.5 ± 19.2% vs. control: +10.5 ± 15.8%, P < 0.001), VO <sub>2</sub> at VT <sub>1</sub> (experimental: +35.5 ± 33.6% vs. control: +8.4 ± 31.2%, P < 0.001), and LDL-C (P = 0.001) were observed in the experimental group. Both groups significantly increased HDL-C and muscle parameters. The novel CR, based on initial individual PFVP performed on stationary cycle ergometer, showed greater benefits on cardiorespiratory capacities and lipid profile than a conventional, non-individualized CR. Therefore, PFVP could be used in CR to adapt specifically the content of training sessions

Expanding the phenotype of SPARC-related osteogenesis imperfecta: clinical findings in two patients with pathogenic variants in SPARC and literature review

BACKGROUND: Secreted protein, acidic, cysteine rich (SPARC)-related osteogenesis imperfecta (OI), also referred to as OI type XVII, was first described in 2015, since then there has been only one further report of this form of OI. SPARC is located on chromosome 5 between bands q31 and q33. The encoded protein is necessary for calcification of the collagen in bone, synthesis of extracellular matrix and the promotion of changes to cell shape. METHODS: We describe a further two patients with previously unreported homozygous SPARC variants with OI: one splice site; one nonsense pathogenic variant. We present detailed information on the clinical and radiological phenotype and correlate this with their genotype. There are only two previous reports by Mendozo-Londono et al and Hayat et al with clinical descriptions of patients with SPARC variants. RESULTS: From the data we have obtained, common clinical features in individuals with OI type XVII caused by SPARC variants include scoliosis (5/5), vertebral compression fractures (5/5), multiple long bone fractures (5/5) and delayed motor development (3/3). Interestingly, 2/4 patients also had abnormal brain MRI, including high subcortical white matter changes, abnormal fluid-attenuated inversion in the para-atrial white matter and a large spinal canal from T10 to L1. Of significance, both patients reported here presented with significant neuromuscular weakness prompting early workup. CONCLUSION: Common phenotypic expressions include delayed motor development with neuromuscular weakness, scoliosis and multiple fractures. The data presented here broaden the phenotypic spectrum establishing similar patterns of neuromuscular presentation with a presumed diagnosis of 'myopathy'

Ankle pressure and ankle brachial index after heavy load incremental exercise

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