Robust Spectral π Pairing in the Random-Field Floquet Quantum Ising Model.

Motivated by an experiment on a superconducting quantum processor [X. Mi et al., Science 378, 785 (2022).SCIEAS0036-807510.1126/science.abq5769], we study level pairings in the many-body spectrum of the random-field Floquet quantum Ising model. The pairings derive from Majorana zero and π modes when writing the spin model in Jordan-Wigner fermions. Both splittings have log-normal distributions with random transverse fields. In contrast, random longitudinal fields affect the zero and π splittings in drastically different ways. While zero pairings are rapidly lifted, the π pairings are remarkably robust, or even strengthened, up to vastly larger disorder strengths. We explain our results within a self-consistent Floquet perturbation theory and study implications for boundary spin correlations. The robustness of π pairings against longitudinal disorder may be useful for quantum information processing.

Quantization of Integrable and Chaotic Three-Particle Fermi-Pasta-Ulam-Tsingou Models.

We study the transition from integrability to chaos for the three-particle Fermi-Pasta-Ulam-Tsingou (FPUT) model. We can show that both the quartic ß-FPUT model (α=0) and the cubic one (ß=0) are integrable by introducing an appropriate Fourier representation to express the nonlinear terms of the Hamiltonian. For generic values of α and ß, the model is non-integrable and displays a mixed phase space with both chaotic and regular trajectories. In the classical case, chaos is diagnosed by the investigation of Poincaré sections. In the quantum case, the level spacing statistics in the energy basis belongs to the Gaussian orthogonal ensemble in the chaotic regime, and crosses over to Poissonian behavior in the quasi-integrable low-energy limit. In the chaotic part of the spectrum, two generic observables obey the eigenstate thermalization hypothesis.

An approximate solution of the interferon-dependent viral kinetics model of influenza.

The analysis of viral kinetics models is mostly achieved by numerical methods. We present an approach via a Magnus expansion that allows us to give an approximate solution to the interferon-dependent viral infection model of influenza which is compared with numerical results. The time of peak viral load is calculated from the approximation and stays within 10% in the studied range of interferon (IFN) efficacy ϵ ∈ [0, 1000]. We utilize our solution to interpret the effect of varying IFN efficacy, suggesting a competition between virions and interferon that can cause an additional peak in the usually exponential increase in the viral load.

Energy-use efficiency of organic and conventional plant production systems in Germany.

Sustainable and efficient energy use in agriculture helps tackle climate change by reducing fossil energy use. We evaluated German farming systems by analysing energy input and output. Data from 30 organic and 30 conventional farms (12 arable, 18 dairy farms each) between 2009 and 2011 was used. Energy input, output, and the influence of farm type, farm structure, and management intensity on energy-use efficiency (EUE) were analysed for crop production using the farm management system REPRO. Conventional farms (CF) always had higher energy input. The energy input for organic farms (OF) was 7.2 GJ ha-1 and for CF 14.0 GJ ha-1. The energy output of CF was also higher. Reductions were higher in energy input than in energy output. In 73.3% of the farm pairs, OF were more energy efficient than CF. The EUE was comparable with CF on 10% of OF and for 16.7% of CF the EUE was higher suggesting better fossil energy utilization. EUE can be increased when reducing fossil energy inputs through more efficient machinery, reduction of agrochemicals, precision farming, the use of renewable energy or energy retention, and by increasing yields. A reduction of inputs is urgently required to lower the (political) dependence on fossil energy.

Wave Function Engineering on Superconducting Substrates: Chiral Yu-Shiba-Rusinov Molecules.

Magnetic adatoms on superconductors give rise to Yu-Shiba-Rusinov (YSR) states that hold considerable interest for the design of topological superconductivity. Here, we show that YSR states are also an ideal platform to engineer structures with intricate wave function symmetries. We assemble structures of iron atoms on the quasi-two-dimensional superconductor 2H-NbSe2. The Yu-Shiba-Rusinov wave functions of individual atoms extend over several nanometers enabling hybridization even at large adatom spacing. We show that the substrate can be exploited to deliberately break symmetries of the adatom structure leading to hybridized YSR states exhibiting symmetries that cannot be found in orbitals of iso-structural planar molecules in the gas phase. We exploit this potential by designing chiral YSR wave functions of triangular adatom structures. Our results significantly expand the range of interesting quantum states that can be engineered using arrays of magnetic adatoms on superconductors.

Tricritical point in the quantum Hamiltonian mean-field model.

Engineering long-range interactions in experimental platforms has been achieved with great success in a large variety of quantum systems in recent years. Inspired by this progress, we propose a generalization of the classical Hamiltonian mean-field model to fermionic particles. We study the phase diagram and thermodynamic properties of the model in the canonical ensemble for ferromagnetic interactions as a function of temperature and hopping. At zero temperature, small charge fluctuations drive the many-body system through a first-order quantum phase transition from an ordered to a disordered phase. At higher temperatures, the fluctuation-induced phase transition remains first order initially and switches to second-order only at a tricritical point. Our results offer an intriguing example of tricriticality in a quantum system with long-range couplings, which bears direct experimental relevance. The analysis is performed by exact diagonalization and mean-field theory.

Discovering a New Metabolic Pathway. Early Work with My Friend, Viswanathan Natarajan.

This article summarizes our early work with Viswanathan Natarajan in the 1980s at the University of Minnesota's Hormel Institute, when he was at the beginning of his brilliant academic career. At that time most metabolic pathways for the biosynthesis and degradation of phospholipids were well established and known in considerable detail. Hence, it was exciting to discover a novel sequence of biochemical reactions, first in dog heart and later in various other vertebrate cells and tissues that became known as the transacylation-phosphodiesterase pathway of phospholipid metabolism. Because one of the metabolites, N-arachidonoylethanolamine, produced by this reaction sequence, was later found to bind to and activate cannabinoid receptors, investigations of this pathway became part of the rapidly growing field of endocannabinoid research. This is briefly summarized here as well.

Intestinal levels of anandamide and oleoylethanolamide in food-deprived rats are regulated through their precursors.

The anorectic lipid oleoylethanolamide and the orexigenic lipid anandamide both belong to the group of N-acylethanolamines that are generated by the enzyme N-acylphosphatidylethanolamine-hydrolyzing phospholipase D. The levels of the two bioactive lipids were investigated in rat intestines after 24 h of starvation as well as after 1 and 4 h of re-feeding. Total levels of precursor phospholipids and N-acylethanolamines were decreased upon food-deprivation whereas the level of the anandamide precursor molecule was significantly increased. The level of 2-arachidonoyl-glycerol was unchanged as was the activity of N-acyltransferase, N-acylphosphatidylethanolamine-hydrolyzing phospholipase D, and fatty acid amide hydrolase upon starvation and re-feeding. It is concluded that remodeling of the amide-linked fatty acids of N-acylphosphatidylethanolamine is responsible for the opposite effects on levels of anandamide and oleoylethanolamide in intestines of food-deprived rats and not an alternative biochemical route for anandamide synthesis. Furthermore, linoleoylethanolamide, which accounted for more than 50 mol% of the endogenous pool of N-acylethanolamines, was found not to have the same inhibitory effect on food intake, as did oleoylethanolamide following oral administration.

A Framework to Evaluate the Impact of Armourstones on the Chemical Quality of Surface Water.

Today, basic requirements for construction works include the protection of human health and of the environment. In the tension area between economic demands, circular flow economy and environmental safety, a link between the results from standardized leaching tests and the respective environmental quality standards must be created. To derive maximum release limits of metals and metalloids for armourstones in hydraulic engineering, this link is accomplished via a simple model approach. By treating natural materials and industrial by-products the same way, the article delivers an overview on the recent regulative situation in Europe as well as describes and discusses an innovative approach to derive maximum release limits for monolithic construction products in hydraulic engineering on a conceptual level. On a practical level, a list of test parameters is derived by connecting an extensive dataset (seven armourstone materials with five repetitions and 31 elements tested with the worldwide applied dynamic surface leaching test) with surface water quality standards and predicted no effect concentrations. Finally, the leaching tests results are compared with the envisaged maximum release limits, offering a direct comparison between natural materials and industrial by-products.

Presence and potential signaling function of N-acylethanolamines and their phospholipid precursors in the yeast Saccharomyces cerevisiae.

N-acylethanolamines (NAEs) and N-acylphosphatidylethanolamines (NAPEs) are trace constituents of vertebrate cells and tissues and much is known about their metabolism and possible function in animals. Here we report for the first time the identification and quantification of NAEs and NAPEs in several strains of the yeast Saccharomyces cerevisiae. Gas chromatography-mass spectrometry of appropriate derivatives revealed 16:0, 16:1, 18:0 and 18:1 N-acyl groups in both NAE and NAPE whose levels, in wild-type cells, were 50 to 90 and 85 to 750 pmol/micromol lipid P, respectively (depending on the phase of growth). NAPE levels were reduced by 45 to 60% in a strain lacking three type B phospholipases, suggesting their involvement in NAPE synthesis by their known transacylation activity. A yeast strain lacking the YPL103c gene, which codes for a protein with 50.3% homology to human NAPE-specific phospholipase D, exhibited a 60% reduction in NAE, compared to wild-type controls. The exposure of various yeast strains to peroxidative stress, by incubation in media containing 0.6 mM H(2)O(2), resulted in substantial increases in NAE. Because yeast cells lack polyunsaturated fatty acids, they offer a useful system for the study of NAE generation and its potential signaling and cytoprotective effects in the absence of polyunsaturated ("endocannabinoid") congeners.

Mammalian cells stably overexpressing N-acylphosphatidylethanolamine-hydrolysing phospholipase D exhibit significantly decreased levels of N-acylphosphatidylethanolamines.

In animal tissues, NAEs (N-acylethanolamines), including N-arachidonoylethanolamine (anandamide), are primarily formed from their corresponding NAPEs (N-acylphosphatidylethanolamines) by a phosphodiesterase of the PLD (phospholipase D) type (NAPE-PLD). Recently, we cloned cDNAs of NAPE-PLD from mouse, rat and human [Okamoto, Morishita, Tsuboi, Tonai and Ueda (2004) J. Biol. Chem. 279, 5298-5305]. However, it remained unclear whether NAPE-PLD acts on endogenous NAPEs contained in the membrane of living cells. To address this question, we stably transfected two mammalian cell lines (HEK-293 and CHO-K1) with mouse NAPE-PLD cDNA, and investigated the endogenous levels and compositions of NAPEs and NAEs in these cells, compared with mock-transfected cells, with the aid of GC-MS. The overexpression of NAPE-PLD caused a decrease in the total amount of NAPEs by 50-90% with a 1.5-fold increase in the total amount of NAEs, suggesting that the recombinant NAPE-PLD utilizes endogenous NAPE as a substrate in the cell. Since the compositions of NAEs and NAPEs of NAPE-PLD-overexpressing cells and mock-transfected cells were very similar, the enzyme did not appear to discriminate among the N-acyl groups of endogenous NAPEs. These results confirm that overexpressed NAPE-PLD is capable of forming NAEs, including anandamide, in living cells.

Cell signaling by endocannabinoids and their congeners: questions of selectivity and other challenges.

The major endocannabinoids, anandamide (N-arachidonoylethanolamide, 20:4n-6 N-acylethanolamine) and 2-arachidonoylglycerol (2-AG) are structurally and functionally similar, but they are produced by different metabolic pathways and their levels must therefore be regulated by different mechanisms. Both endocannabinoids are accompanied by cannabinoid receptor-inactive, saturated and mono- or di-unsaturated congeners which can influence their metabolism and function. Here we review published data on the presence and production of anandamide and 2-AG and their congeners in mammalian cells and discuss this information in terms of their proposed signaling functions.

Anandamide and other N-acylethanolamines in human tumors.

Long-chain N-acylethanolamines (NAE), including the endocannabinoid, anandamide, accumulate in mammalian tissues under a variety of pathological conditions. They have also been shown to inhibit the growth of various cancer cell lines in vitro. Here, we report the presence, in widely differing amounts (3.88-254.46 pmol/micromol lipid P), of NAE and their precursor phospholipids in various human tumors and some adjacent unaffected tissues. Anandamide ranged from 1.5 to 48% of total NAE, and incubation of tissue homogenates suggested possible NAE biosynthesis by both the established transacylation-phosphodiesterase pathway via N-acyl PE and by direct N-acylation of ethanolamine.

Lipoxygenase-catalyzed phospholipid peroxidation: preparation, purification, and characterization of phosphatidylinositol peroxides.

The importance of understanding the mechanisms of modulation of cellular signaling cascades by the peroxidized membrane phospholipids (PLs) is well recognized. The enzyme-catalyzed peroxidation of PLs, as opposed to their oxidation by air and metal catalysis, is well controlled and rapid and yields well-defined PL peroxides which are highly desirable for biological studies. Therefore, here, we chose bovine liver phosphatidylinositol (PI), a crucial membrane PL which acts as the substrate for phospholipase C in cellular signal transduction, as a model membrane PL. We successfully generated the PI peroxides with soybean type-I lipoxygenase (LOX) in the presence of deoxycholate, which facilitates the LOX-mediated peroxidation of the polyunsaturated fatty acids esterified to the PL. The LOX-peroxidized PI, after enzymatic catalysis, was separated from the unoxidized PI in the reaction mixture by normal-phase, high-performance liquid chromatography (HPLC). The extent of LOX-mediated peroxidation of PI following HPLC purification was established by the analysis of lipid phosphorus, conjugated dienes by UV spectrophotometry, peroxides, and loss of fatty acids by gas chromatography. This study established the optimal conditions yielding approximately 46% of peroxidized PI from 300 microg of neat bovine liver PI that was peroxidized by soybean type-I LOX (50 microg) for 30 min in borate buffer (0.2 M, pH 9.0) containing 10 mM deoxycholate.

Endocannabinoid metabolism in human glioblastomas and meningiomas compared to human non-tumour brain tissue.

The endogenous levels of the two cannabinoid receptor ligands 2-arachidonoyl glycerol and anandamide, and their respective congeners, monoacyl glycerols and N-acylethanolamines, as well as the phospholipid precursors of N-acylethanolamines, were measured by gas chromatography-mass spectrometry in glioblastoma (WHO grade IV) tissue and meningioma (WHO grade I) tissue and compared with human non-tumour brain tissue. Furthermore, the metabolic turnover of N-acylethanolamines was compared by measurements of the enzymatic activity of N-acyltransferase, N-acylphosphatidylethanolamine-hydrolysing phospholipase D and fatty acid amide hydrolase in the same three types of tissue. Glioblastomas were characterized by enhanced levels of N-acylethanolamines (eightfold, 128 +/- 59 pmol/micromol lipid phosphorus) including anandamide (17-fold, 4.6 +/- 3.1 pmol/micromol lipid phosphorus) and several species of N-acylphosphatidylethanolamines (three to eightfold). This was accompanied by a more than 60% reduction in the enzyme activities of N-acylphosphatidylethanolamine-hydrolysing phospholipase D and fatty acid amide hydrolase. By contrast, meningiomas were characterized by a massively enhanced level of 2-monoacyl glycerols (20-fold, 2293 +/- 361 pmol/micromol lipid phosphorus) including 2-arachidonoyl glycerol (20-fold, 1524 +/- 361 pmol/micromol lipid phosphorus). This was accompanied by an enhanced in vitro conversion of phosphatidylcholine to monoacyl glycerol (fivefold). The enhanced level of the 2-arachidonoyl glycerol, anandamide and other N-acylethanolamines detected in the two types of tumour tissue may possibly act as endogenous anti-tumour mediators by stimulation of both cannabinoid and non-cannabinoid receptor-mediated mechanisms.

N-acylphosphatidylethanolamine-hydrolyzing phospholipase D is an important determinant of uterine anandamide levels during implantation.

Implantation requires reciprocal interaction between blastocysts and a receptive uterus. In mice, one important player in this dialogue involves endocannabinoid signaling via cannabinoid receptor CB1. Anandamide is an endogenous cannabinoid ligand, and its levels are spatiotemporally regulated in the uterus during early pregnancy, showing lower levels in the receptive uterus and at the implantation site. However, the mechanism by which differential uterine anandamide gradients are established under different pregnancy status is not clearly understood. Using multiple approaches, we show here that uterine anandamide levels conducive to implantation are primarily regulated by spatiotemporal expression of Nape-Pld, the gene encoding N-acylphosphatidylethanolamine-hydrolyzing phospholipase D that generates anandamide. The expression is well correlated with its activity and anandamide levels. This study is clinically relevant, since elevated anandamide levels in peripheral circulation are associated with spontaneous pregnancy failure in women.

Endocannabinoids induce ileitis in rats via the capsaicin receptor (VR1).

Intraluminal administration of the endocannabinoids N-arachidonoyl-ethanolamine (anandamide) and 2-arachidonoylglycerol (2-AG) causes inflammation similar to that caused by Clostridium difficile toxin A in the rat ileum. The effects of anandamide and 2-AG were significantly inhibited by pretreatment with the specific capsaicin receptor (vanilloid receptor subtype 1; VR1) antagonist capsazepine. Pretreatment with the CB1 and CB2 cannabinoid receptor antagonists N-piperidino-5-(4-chlorophenyl)-1-(2,4-dichlorophenyl)-4-methyl-3-pyrazole-carboxamide (SR141716) and N-[1S)-endo-1,3,3-trimethylbicyclo[2.2.1]heptan-2-yl]-5-(4-chloro-3-methylphenyl)-1-(4-methylbenzyl)-pyrazole-3-carboxamide (SR144528) did not affect the responses to anandamide. It has previously been shown that intraluminal toxin A stimulates substance P (SP) release from primary sensory neurons and that pretreatment with SP receptor [neurokinin (NK)-1 receptor] antagonists inhibits the inflammatory effects of toxin A. Anandamide stimulated SP release and this was blocked by capsazepine pretreatment. Also, pretreatment with the specific NK-1 receptor antagonist (2S,3S)-3-([3,5-bis[trifluoromethyl)phenyl]methoxy)-2-phenylpiperidine (L-733,060) significantly inhibited the inflammatory effects of both toxin A and anandamide. Toxin A increased tissue concentrations of anandamide and 2-AG in the ileum, and these effects were enhanced after pretreatment with inhibitors of fatty acid amide hydrolase, a major endocannabinoid-degrading enzyme. The toxin A-stimulated release of anandamide but not 2-AG was selective over their congeners. These results demonstrate that the endocannabinoids anandamide and 2-AG stimulate intestinal primary sensory neurons via the capsaicin VR1 receptor to release SP, resulting in enteritis, and that endocannabinoids may mediate the inflammatory effects of toxin A.

Massive accumulation of N-acylethanolamines after stroke. Cell signalling in acute cerebral ischemia?

We investigated levels and compositions of N-acylethanolamines (NAEs) and their precursors, N-acyl phosphatidylethanolamines (N-acyl PEs), in a rat stroke model applying striatal microdialysis for glutamate assay. Rats (n = 18) were treated with either intravenous saline (control), NMDA receptor antagonist MK801 (1 mg/kg), or CB1 receptor antagonist SR141716A (1 mg/kg) 30 min after permanent middle cerebral artery occlusion (MCAO). MK801 significantly attenuated the release of glutamate in the infarcted striatum (79 +/- 22 micromol/L) as compared with controls (322 +/- 104 micromol/L). The administration of CB1 antagonist SR141716A had no statistically significant effect on glutamate release (340 +/- 89 micromol/L), but reduced infarct volume at 5 h after MCAO significantly by approximately 40%, whereas MK801 treatment resulted in a non-significant (18%) reduction of infarct volume. In controls, striatal and cortical NAE concentrations were about 30-fold higher in the infarcted than in the non-infarcted hemisphere, whereas ipsilateral N-acyl phosphatidylethanolamine (N-acyl PE) levels exceeded contralateral levels by only a factor of two to three. Treatment with MK801 or SR141716A, or glutamate release in the infarcted tissue, had no significant effect on these levels. NAE accumulation during acute stroke may be due to increased synthesis as well as decreased degradation, possibly by inhibition of fatty acid amide hydrolase (FAAH).

Region-dependent changes in endocannabinoid transmission in the brain of morphine-dependent rats.

It has been suggested recently that the endocannabinoid system might be a component of the brain reward circuitry and thus play a role not only in cannabinoid tolerance/dependence, but also in dependence/withdrawal to other drugs of abuse. Here we have examined the changes in endocannabinoid ligands and their receptors in different brain regions, with particular attention to those areas related to reinforcement processes, during dependence on the powerful addictive drug, morphine. Thus, we analysed the brain contents of N-arachidonoylethanolamine (anandamide, AEA), the first discovered endocannabinoid, in rats subjected to daily injections of increasing doses of morphine, according to a schedule designed to render the animals opiate-dependent. Although evidence of physical dependence was assured by the appearance of somatic and neurovegetative responses in these animals after an acute challenge with naloxone, there were no changes in the contents of this endocannabinoid in any of the brain regions analysed. By contrast, we observed a significant decrease in the specific binding for CB(1) receptors in the midbrain and the cerebral cortex of morphine-dependent rats, with no changes in the other regions. The decrease in the cerebral cortex was, however, accompanied by a rise in the activation of signalling mechanisms by CB(1) receptor agonists, as revealed by WIN-55,212-2-stimulated [(35)S]GTPgammaS binding, whereas a reduction in this parameter was measured in the brainstem of morphine-dependent rats. In summary, the present data are indicative of the existence of an alteration of the endocannabinoid transmission during morphine dependence in rats, although the changes observed were region-dependent and affected exclusively CB(1) receptors with no changes in endocannabinoid levels. Because the changes occurred in regions of the midbrain, the cerebral cortex and the brainstem, which have been implicated in drug dependence, our data suggest that pharmacological manipulation of the endocannabinoid system might be a novel tool to reduce morphine addiction.