Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential.

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 Adv

journal_title

Science advances

authors

Levinsen J,Massignan P,Bruun GM,Parish MM

doi

10.1126/sciadv.1500197

subject

Has Abstract

pub_date

2015-07-24 00:00:00

pages

e1500197

issue

6

issn

2375-2548

pii

1500197

journal_volume

1

pub_type

杂志文章
  • Butterfly gyroid nanostructures as a time-frozen glimpse of intracellular membrane development.

    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

    authors: Wilts BD,Apeleo Zubiri B,Klatt MA,Butz B,Fischer MG,Kelly ST,Spiecker E,Steiner U,Schröder-Turk GE

    更新日期:2017-04-26 00:00:00

  • Erratum for the Research Article: Smoothened agonist sterosome immobilized hybrid scaffold for bone regeneration by C-S. Lee, S. Kim, J. Fan, H. S. Hwang, T. Aghaloo and M. Lee.

    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

    authors:

    更新日期:2020-07-08 00:00:00

  • Benefits of the Paris Agreement to ocean life, economies, and people.

    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

    authors: Sumaila UR,Tai TC,Lam VWY,Cheung WWL,Bailey M,Cisneros-Montemayor AM,Chen OL,Gulati SS

    更新日期:2019-02-27 00:00:00

  • Biomimetic enzyme cascade reaction system in microfluidic electrospray microcapsules.

    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

    authors: Wang H,Zhao Z,Liu Y,Shao C,Bian F,Zhao Y

    更新日期:2018-06-15 00:00:00

  • Transmission dynamics of and insights from the 2018-2019 measles outbreak in New York City: A modeling study.

    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

    authors: Yang W

    更新日期:2020-05-27 00:00:00

  • SAVI: Synthetic apertures for long-range, subdiffraction-limited visible imaging using Fourier ptychography.

    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

    authors: Holloway J,Wu Y,Sharma MK,Cossairt O,Veeraraghavan A

    更新日期:2017-04-14 00:00:00

  • Ancient DNA shows domestic horses were introduced in the southern Caucasus and Anatolia during the Bronze Age.

    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

    authors: Guimaraes S,Arbuckle BS,Peters J,Adcock SE,Buitenhuis H,Chazin H,Manaseryan N,Uerpmann HP,Grange T,Geigl EM

    更新日期:2020-09-16 00:00:00

  • Platform for micro-invasive membrane-free biochemical sampling of brain interstitial fluid.

    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

    authors: Raman R,Rousseau EB,Wade M,Tong A,Cotler MJ,Kuang J,Lugo AA,Zhang E,Graybiel AM,White FM,Langer R,Cima MJ

    更新日期:2020-09-25 00:00:00

  • Hot carrier extraction in CH3NH3PbI3 unveiled by pump-push-probe spectroscopy.

    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

    authors: Lim SS,Giovanni D,Zhang Q,Solanki A,Jamaludin NF,Lim JWM,Mathews N,Mhaisalkar S,Pshenichnikov MS,Sum TC

    更新日期:2019-11-15 00:00:00

  • Nighttime temperature and human sleep loss in a changing climate.

    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

    authors: Obradovich N,Migliorini R,Mednick SC,Fowler JH

    更新日期:2017-05-26 00:00:00

  • Multifaceted design optimization for superomniphobic surfaces.

    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

    authors: Panter JR,Gizaw Y,Kusumaatmaja H

    更新日期:2019-06-21 00:00:00

  • Attenuated diphtheria toxin mediates siRNA delivery.

    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

    authors: Arnold AE,Smith LJ,Beilhartz GL,Bahlmann LC,Jameson E,Melnyk RA,Shoichet MS

    更新日期:2020-05-01 00:00:00

  • Oriented assembly of anisotropic nanoparticles into frame-like superstructures.

    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

    authors: Nai J,Guan BY,Yu L,Lou XWD

    更新日期:2017-08-23 00:00:00

  • Iron is neurotoxic in retinal detachment and transferrin confers neuroprotection.

    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

    authors: Daruich A,Le Rouzic Q,Jonet L,Naud MC,Kowalczuk L,Pournaras JA,Boatright JH,Thomas A,Turck N,Moulin A,Behar-Cohen F,Picard E

    更新日期:2019-01-09 00:00:00

  • Dislocation-driven growth of two-dimensional lateral quantum-well superlattices.

    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

    authors: Zhou W,Zhang YY,Chen J,Li D,Zhou J,Liu Z,Chisholm MF,Pantelides ST,Loh KP

    更新日期:2018-03-23 00:00:00

  • Van der Waals metal-semiconductor junction: Weak Fermi level pinning enables effective tuning of Schottky barrier.

    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

    authors: Liu Y,Stradins P,Wei SH

    更新日期:2016-04-22 00:00:00

  • Diversification insulates fisher catch and revenue in heavily exploited tropical fisheries.

    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

    authors: Robinson JPW,Robinson J,Gerry C,Govinden R,Freshwater C,Graham NAJ

    更新日期:2020-02-21 00:00:00

  • Strong coupling of single quantum dots with low-refractive-index/high-refractive-index materials at room temperature.

    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

    authors: Xu X,Jin S

    更新日期:2020-11-20 00:00:00

  • Iron isotope evidence for very rapid accretion and differentiation of the proto-Earth.

    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

    authors: Schiller M,Bizzarro M,Siebert J

    更新日期:2020-02-12 00:00:00

  • Tuning bad metal and non-Fermi liquid behavior in a Mott material: Rare-earth nickelate thin films.

    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

    authors: Mikheev E,Hauser AJ,Himmetoglu B,Moreno NE,Janotti A,Van de Walle CG,Stemmer S

    更新日期:2015-11-06 00:00:00

  • A Candida albicans CRISPR system permits genetic engineering of essential genes and gene families.

    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

    authors: Vyas VK,Barrasa MI,Fink GR

    更新日期:2015-01-01 00:00:00

  • Strong coupling superconductivity in a quasiperiodic host-guest structure.

    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

    authors: Brown P,Semeniuk K,Wang D,Monserrat B,Pickard CJ,Grosche FM

    更新日期:2018-04-13 00:00:00

  • Ultrafast time-resolved x-ray scattering reveals diffusive charge order dynamics in La2-x Ba x CuO4.

    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

    authors: Mitrano M,Lee S,Husain AA,Delacretaz L,Zhu M,de la Peña Munoz G,Sun SX,Joe YI,Reid AH,Wandel SF,Coslovich G,Schlotter W,van Driel T,Schneeloch J,Gu GD,Hartnoll S,Goldenfeld N,Abbamonte P

    更新日期:2019-08-16 00:00:00

  • Harnessing lipid signaling pathways to target specialized pro-angiogenic neutrophil subsets for regenerative immunotherapy.

    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

    authors: Turner TC,Sok MCP,Hymel LA,Pittman FS,York WY,Mac QD,Vyshnya S,Lim HS,Kwong GA,Qiu P,Botchwey EA

    更新日期:2020-10-30 00:00:00

  • Metamorphic records of multiple seismic cycles during subduction.

    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

    authors: Viete DR,Hacker BR,Allen MB,Seward GGE,Tobin MJ,Kelley CS,Cinque G,Duckworth AR

    更新日期:2018-03-21 00:00:00

  • Novel excitations near quantum criticality in geometrically frustrated antiferromagnet CsFeCl3.

    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

    authors: Hayashida S,Matsumoto M,Hagihala M,Kurita N,Tanaka H,Itoh S,Hong T,Soda M,Uwatoko Y,Masuda T

    更新日期:2019-10-18 00:00:00

  • Universal microbial diagnostics using random DNA probes.

    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

    authors: Aghazadeh A,Lin AY,Sheikh MA,Chen AL,Atkins LM,Johnson CL,Petrosino JF,Drezek RA,Baraniuk RG

    更新日期:2016-09-28 00:00:00

  • Early formation of planetary building blocks inferred from Pb isotopic ages of chondrules.

    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

    authors: Bollard J,Connelly JN,Whitehouse MJ,Pringle EA,Bonal L,Jørgensen JK,Nordlund Å,Moynier F,Bizzarro M

    更新日期:2017-08-09 00:00:00

  • Feedforward and feedback frequency-dependent interactions in a large-scale laminar network of the primate cortex.

    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

    authors: Mejias JF,Murray JD,Kennedy H,Wang XJ

    更新日期:2016-11-16 00:00:00

  • Scalable electrochromic nanopixels using plasmonics.

    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

    authors: Peng J,Jeong HH,Lin Q,Cormier S,Liang HL,De Volder MFL,Vignolini S,Baumberg JJ

    更新日期:2019-05-10 00:00:00