Abstract:
:A major challenge in modern physics is to accurately describe strongly interacting quantum many-body systems. One-dimensional systems provide fundamental insights because they are often amenable to exact methods. However, no exact solution is known for the experimentally relevant case of external confinement. We propose a powerful ansatz for the one-dimensional Fermi gas in a harmonic potential near the limit of infinite short-range repulsion. For the case of a single impurity in a Fermi sea, we show that our ansatz is indistinguishable from numerically exact results in both the few- and many-body limits. We furthermore derive an effective Heisenberg spin-chain model corresponding to our ansatz, valid for any spin-mixture, within which we obtain the impurity eigenstates analytically. In particular, the classical Pascal's triangle emerges in the expression for the ground-state wave function. As well as providing an important benchmark for strongly correlated physics, our results are relevant for emerging quantum technologies, where a precise knowledge of one-dimensional quantum states is paramount.
journal_name
Sci Advjournal_title
Science advancesauthors
Levinsen J,Massignan P,Bruun GM,Parish MMdoi
10.1126/sciadv.1500197subject
Has Abstractpub_date
2015-07-24 00:00:00pages
e1500197issue
6issn
2375-2548pii
1500197journal_volume
1pub_type
杂志文章相关文献
Science Advances文献大全abstract::The formation of the biophotonic gyroid material in butterfly wing scales is an exceptional feat of evolutionary engineering of functional nanostructures. It is hypothesized that this nanostructure forms by chitin polymerization inside a convoluted membrane of corresponding shape in the endoplasmic reticulum. However,...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.1603119
更新日期:2017-04-26 00:00:00
abstract::[This corrects the article DOI: 10.1126/sciadv.aaz7822.]. ...
journal_title:Science advances
pub_type: 已发布勘误
doi:10.1126/sciadv.abd5216
更新日期:2020-07-08 00:00:00
abstract::The Paris Agreement aims to mitigate the potential impacts of climate change on ecological and social systems. Using an ensemble of climate-marine ecosystem and economic models, we explore the effects of implementing the Agreement on fish, fishers, and seafood consumers worldwide. We find that implementing the Agreeme...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aau3855
更新日期:2019-02-27 00:00:00
abstract::Mimicking subcellular compartments containing enzymes in organisms is considered a promising approach to substitute for missing or lost cellular functions. Inspired by the multicompartment structures of cellular architectures, we present a novel multienzyme system based on hollow hydrogel microcapsules with flexible e...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aat2816
更新日期:2018-06-15 00:00:00
abstract::In 2018-2019, New York City experienced the largest measles outbreak in the United States in nearly three decades. To identify key contributing factors, we modeled the transmission dynamics of this outbreak. Results indicate that delayed vaccination of 1- to 4-year-olds enabled the initial spread and that increased in...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aaz4037
更新日期:2020-05-27 00:00:00
abstract::Synthetic aperture radar is a well-known technique for improving resolution in radio imaging. Extending these synthetic aperture techniques to the visible light domain is not straightforward because optical receivers cannot measure phase information. We propose to use macroscopic Fourier ptychography (FP) as a practic...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.1602564
更新日期:2017-04-14 00:00:00
abstract::Despite the important roles that horses have played in human history, particularly in the spread of languages and cultures, and correspondingly intensive research on this topic, the origin of domestic horses remains elusive. Several domestication centers have been hypothesized, but most of these have been invalidated ...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.abb0030
更新日期:2020-09-16 00:00:00
abstract::Neurochemical dysregulation underlies many pathologies and can be monitored by measuring the composition of brain interstitial fluid (ISF). Existing in vivo tools for sampling ISF do not enable measuring large rare molecules, such as proteins and neuropeptides, and thus cannot generate a complete picture of the neuroc...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.abb0657
更新日期:2020-09-25 00:00:00
abstract::Halide perovskites are promising materials for development in hot carrier (HC) solar cells, where the excess energy of above-bandgap photons is harvested before being wasted as heat to enhance device efficiency. Presently, HC separation and transfer processes at higher-energy states remain poorly understood. Here, we ...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aax3620
更新日期:2019-11-15 00:00:00
abstract::Human sleep is highly regulated by temperature. Might climate change-through increases in nighttime heat-disrupt sleep in the future? We conduct the inaugural investigation of the relationship between climatic anomalies, reports of insufficient sleep, and projected climate change. Using data from 765,000 U.S. survey r...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.1601555
更新日期:2017-05-26 00:00:00
abstract::Superomniphobic textures are at the frontier of surface design for vast arrays of applications. Despite recent substantial advances in fabrication methods for reentrant and doubly reentrant microstructures, design optimization remains a major challenge. We overcome this in two stages. First, we develop readily general...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aav7328
更新日期:2019-06-21 00:00:00
abstract::Toxins efficiently deliver cargo to cells by binding to cell surface ligands, initiating endocytosis, and escaping the endolysosomal pathway into the cytoplasm. We took advantage of this delivery pathway by conjugating an attenuated diphtheria toxin to siRNA, thereby achieving gene downregulation in patient-derived gl...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aaz4848
更新日期:2020-05-01 00:00:00
abstract::It is fascinating but challenging for nanoscientists to organize nanoparticles (NPs) into ordered architectures just as it is for chemists to manipulate atoms and molecules to form functional molecules and supramolecules. We explore a strategy to assemble anisotropic NPs into open frame-like superstructures via orient...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.1700732
更新日期:2017-08-23 00:00:00
abstract::In retinal detachment (RD), photoreceptor death and permanent vision loss are caused by neurosensory retina separating from the retinal pigment epithelium because of subretinal fluid (SRF), and successful surgical reattachment is not predictive of total visual recovery. As retinal iron overload exacerbates cell death ...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aau9940
更新日期:2019-01-09 00:00:00
abstract::The advent of two-dimensional (2D) materials has led to extensive studies of heterostructures for novel applications. 2D lateral multiheterojunctions and superlattices have been recently demonstrated, but the available growth methods can only produce features with widths in the micrometer or, at best, 100-nm scale and...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aap9096
更新日期:2018-03-23 00:00:00
abstract::Two-dimensional (2D) semiconductors have shown great potential for electronic and optoelectronic applications. However, their development is limited by a large Schottky barrier (SB) at the metal-semiconductor junction (MSJ), which is difficult to tune by using conventional metals because of the effect of strong Fermi ...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.1600069
更新日期:2016-04-22 00:00:00
abstract::Declines in commercial landings and increases in fishing fleet power have raised concerns over the continued provisioning of nutritional and economic services by tropical wild fisheries. Yet, because tropical fisheries are often data-poor, mechanisms that might buffer fishers to declines are not understood. This data ...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aaz0587
更新日期:2020-02-21 00:00:00
abstract::Strong coupling between a cavity and transition dipole moments in emitters leads to vacuum Rabi splitting. Researchers have not reported strong coupling between a single emitter and a dielectric cavity at room temperature until now. In this study, we investigated the photoluminescence (PL) spectra of colloidal quantum...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.abb3095
更新日期:2020-11-20 00:00:00
abstract::Nucleosynthetic isotope variability among solar system objects provides insights into the accretion history of terrestrial planets. We report on the nucleosynthetic Fe isotope composition (μ54Fe) of various meteorites and show that the only material matching the terrestrial composition is CI (Ivuna-type) carbonaceous ...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aay7604
更新日期:2020-02-12 00:00:00
abstract::Resistances that exceed the Mott-Ioffe-Regel limit (known as bad metal behavior) and non-Fermi liquid behavior are ubiquitous features of the normal state of many strongly correlated materials. We establish the conditions that lead to bad metal and non-Fermi liquid phases in NdNiO3, which exhibits a prototype bandwidt...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.1500797
更新日期:2015-11-06 00:00:00
abstract::Candida albicans is a pathogenic yeast that causes mucosal and systematic infections with high mortality. The absence of facile molecular genetics has been a major impediment to analysis of pathogenesis. The lack of meiosis coupled with the absence of plasmids makes genetic engineering cumbersome, especially for essen...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.1500248
更新日期:2015-01-01 00:00:00
abstract::We examine the low-temperature states supported by the quasiperiodic host-guest structure of elemental bismuth at high pressure, Bi-III. Our electronic transport and magnetization experiments establish Bi-III as a rare example of type II superconductivity in an element, with a record upper critical field of ~ 2.5 T, u...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aao4793
更新日期:2018-04-13 00:00:00
abstract::Charge order is universal among high-Tc cuprates, but its relation to superconductivity is unclear. While static order competes with superconductivity, dynamic order may be favorable and even contribute to Cooper pairing. Using time-resolved resonant soft x-ray scattering at a free-electron laser, we show that the cha...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aax3346
更新日期:2019-08-16 00:00:00
abstract::To gain insights into neutrophil heterogeneity dynamics in the context of sterile inflammation and wound healing, we performed a pseudotime analysis of single-cell flow cytometry data using the spanning-tree progression analysis of density-normalized events algorithm. This enables us to view neutrophil transitional su...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aba7702
更新日期:2020-10-30 00:00:00
abstract::Large earthquakes occur in rocks undergoing high-pressure/low-temperature metamorphism during subduction. Rhythmic major-element zoning in garnet is a common product of such metamorphism, and one that must record a fundamental subduction process. We argue that rhythmic major-element zoning in subduction zone garnets f...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aaq0234
更新日期:2018-03-21 00:00:00
abstract::The investigation of materials that exhibit quantum phase transition provides valuable insights into fundamental problems in physics. We present neutron scattering under pressure in a triangular-lattice antiferromagnet that has a quantum disorder in the low-pressure phase and a noncollinear structure in the high-press...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aaw5639
更新日期:2019-10-18 00:00:00
abstract::Early identification of pathogens is essential for limiting development of therapy-resistant pathogens and mitigating infectious disease outbreaks. Most bacterial detection schemes use target-specific probes to differentiate pathogen species, creating time and cost inefficiencies in identifying newly discovered organi...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.1600025
更新日期:2016-09-28 00:00:00
abstract::The most abundant components of primitive meteorites (chondrites) are millimeter-sized glassy spherical chondrules formed by transient melting events in the solar protoplanetary disk. Using Pb-Pb dates of 22 individual chondrules, we show that primary production of chondrules in the early solar system was restricted t...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.1700407
更新日期:2017-08-09 00:00:00
abstract::Interactions between top-down and bottom-up processes in the cerebral cortex hold the key to understanding attentional processes, predictive coding, executive control, and a gamut of other brain functions. However, the underlying circuit mechanism remains poorly understood and represents a major challenge in neuroscie...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.1601335
更新日期:2016-11-16 00:00:00
abstract::Plasmonic metasurfaces are a promising route for flat panel display applications due to their full color gamut and high spatial resolution. However, this plasmonic coloration cannot be readily tuned and requires expensive lithographic techniques. Here, we present scalable electrically driven color-changing metasurface...
journal_title:Science advances
pub_type: 杂志文章
doi:10.1126/sciadv.aaw2205
更新日期:2019-05-10 00:00:00