Leveraging the decomposability of the fast Fourier transform, I propose a new class of tensor network that is efficiently contractible and able to represent many-body systems with local entanglement that is greater than the area law. Translationally invariant systems of free fermions in arbitrary dimensions as well as 1D systems solved by the Jordan-Wigner transformation are shown to be exactly represented in this class. Further, it is proposed that these tensor networks be used as generic structures to variationally describe more complicated systems, such as interacting fermions. This class shares some similarities with the Evenbly-Vidal branching multiscale entanglement renormalization ansatz, but with some important differences and greatly reduced computational demands.
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http://dx.doi.org/10.1103/PhysRevLett.113.010401 | DOI Listing |
Planta
January 2025
Plant-Soil Ecology Laboratory, Center for Ecology, Evolution and Environmental Changes. Faculty of Sciences, University of Lisbon, Lisbon, Portugal.
Inoculation with the PGPB Herbaspirillum seropedicae shapes both the structure and putative functions of the wheat microbiome and causes changes in the levels of various plant metabolites described to be involved in plant growth and health. Plant growth promoting bacteria (PGPB) can establish metabolic imprints in their hosts, contributing to the improvement of plant health in different ways. However, while PGPB imprints on plant metabolism have been extensively characterized, much less is known regarding those affecting plant indigenous microbiomes, and hence it remains unknown whether both processes occur simultaneously.
View Article and Find Full Text PDFNPJ Sci Food
January 2025
Department of Family and Consumer Science, New Mexico State University, Las Cruces, NM, USA.
This study investigated the effect of fermentation durations (24,48 and 72 h) on the microstructure and nutritional quality of acha flour and resultant cookies. Results showed that there were significant differences (p < 0.05) in the functional and pasting properties of the flour and cookies samples.
View Article and Find Full Text PDFInt J Biol Macromol
January 2025
Graduate Program in Food Science and Technology, Federal University of Paraíba, 58051-900 João Pessoa, Paraíba, Brazil. Electronic address:
This study aimed to investigate the impact of adding aroeira leaf extract (Schinus terebinthifolius Raddi) to a yam starch film matrix, focusing on the development of potentially active films and the evaluation of their physicochemical, mechanical, optical, and antioxidant properties. Films were produced using the casting method with varying extract concentrations (0, 3, 6, 12, and 15 %), yam starch (2 %), and glycerol (1 %). The antioxidant properties were analyzed by determining the total phenolic content, 2,2-Diphenyl-1-Picrylhydrazyl (DPPH) radical scavenging, ferric reducing power, and 2,2-azinobis (3-ethylbenzothiazoline-6-sulfonic acid) (ABTS) radical elimination, which revealed a significant increase in antioxidant properties as the extract concentration increased.
View Article and Find Full Text PDFNeural Netw
January 2025
City University of Hong Kong Shenzhen Research Institute, Shenzhen, China; Department of Mathematics, City University of Hong Kong, Hong Kong, China. Electronic address:
We consider kernel-based supervised learning using random Fourier features, focusing on its statistical error bounds and generalization properties with general loss functions. Beyond the least squares loss, existing results only demonstrate worst-case analysis with rate n and the number of features at least comparable to n, and refined-case analysis where it can achieve almost n rate when the kernel's eigenvalue decay is exponential and the number of features is again at least comparable to n. For the least squares loss, the results are much richer and the optimal rates can be achieved under the source and capacity assumptions, with the number of features smaller than n.
View Article and Find Full Text PDFSpectrochim Acta A Mol Biomol Spectrosc
January 2025
Department of Chemistry, University of Copenhagen, Universitetsparken 5, Copenhagen Ø, DK-2100, Denmark. Electronic address:
We have recorded the gas phase spectrum of isoprene at room temperature from the mid-infrared range and into the visible range (600 cm to 17050 cm). Absorption spectra were obtained by Fourier transform infrared, conventional dispersion ultraviolet-visible-near-infrared and cavity ring-down spectroscopy to cover the entire range with a resolution comparable to that of the instruments on the James Webb Space Telescope. We have assigned the CH-stretching fundamental and overtone bands corresponding to the Δv=1-6 transitions based on anharmonic vibrational calculations using normal mode and local mode models, for the lower- and higher-energy regions, respectively.
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