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We develop an extension of the well-known BCS-theory to systems with trapped fermions. The theory fully includes the quantized energy levels in the trap. The key ingredient is to model the attractive interaction between two atoms by a…

软凝聚态物质 · 物理学 2009-10-31 G. Bruun , Y. Castin , R. Dum , K. Burnett

Following the idea of the density functional approach, we develop a generalized Bogoliubov theory of an interacting Bose gas confined in a one-dimensional harmonic trap, by using a local chemical potential - calculated with the Lieb-Liniger…

量子气体 · 物理学 2024-08-26 Xiao-Long Chen , Yun Li , Hui Hu

We determine the zero-temperature density profile of a cloud of fermionic atoms in a trap subject to a mutual attractive interaction, as the strength of the interaction is progressively increased. We find a significant decrease of the size…

超导电性 · 物理学 2009-11-07 A. Perali , P. Pieri , G. C. Strinati

The BCS-BEC crossover in a lattice is a powerful paradigm to understand how a superconductor deviates from the Bardeen-Cooper-Schrieffer physics as the attractive interaction increases. Optical lattices loaded with binary mixtures of cold…

强关联电子 · 物理学 2014-05-15 A. Amaricci , A. Privitera , M. Capone

We calculate several thermodynamic quantities for repulsively interacting one-dimensional fermions.We solve the Hubbard model at both zero and finite temperatures using the Bethe-ansatz method. For arbitrary values of the chemical…

量子气体 · 物理学 2015-05-20 Andrew Snyder , Iori Tanabe , Theja De Silva

We consider the BCS-BEC crossover for a system of trapped Fermi atoms at finite temperature, both below and above the superfluid critical temperature, by including fluctuations beyond mean field. We determine the superfluid critical…

超导电性 · 物理学 2009-02-20 A. Perali , P. Pieri , L. Pisani , G. C. Strinati

We investigate the quantum and thermal phase diagram of fermionic polar molecules loaded in a bilayer trapping potential with perpendicular dipole moment. We use both a BCS theory approach that is most realiable at weak-coupling and a…

量子气体 · 物理学 2012-01-13 N. T. Zinner , B. Wunsch , D. Pekker , D. -W. Wang

The dynamics of strongly interacting trapped dilute Fermi gases (dilute in the sense that the range of interatomic potential is small compared with inter-particle spacing) is investigated in a single-equation approach to the time-dependent…

软凝聚态物质 · 物理学 2009-02-05 Yeong E. Kim , Alexander L. Zubarev

We investigate density fluctuations in a coherent ensemble of interacting fermionic atoms. Adapting the concept of full counting statistics, well-known from quantum optics and mesoscopic electron transport, we study second-order as well as…

超导电性 · 物理学 2022-08-19 W. Belzig , C. Schroll , C. Bruder

Theoretical predictions for the BCS-BEC crossover of trapped Fermi atoms are compared with recent experimental results for the density profiles of $^6$Li. The calculations rest on a single theoretical approach that includes pairing…

超导电性 · 物理学 2009-02-20 A. Perali , P. Pieri , G. C. Strinati

We report on measurements of the critical temperature of a harmonically trapped, weakly interacting Bose gas as a function of atom number. Our results exclude ideal-gas behavior by more than two standard deviations, and agree quantitatively…

We present a detailed study of the BCS pairing transition in a trapped polarized dipolar Fermi gas. In the case of a shallow nearly spherical trap, we find the decrease of the transition temperature as a function of the trap aspect ratio…

其他凝聚态物理 · 物理学 2009-11-10 M. A. Baranov , L. Dobrek , M. Lewenstein

We investigate the thermodynamic behaviour of a Bose gas interacting with repulsive forces and confined in a harmonic anisotropic trap. We develop the formalism of mean field theory for non uniform systems at finite temperature, based on…

凝聚态物理 · 物理学 2015-06-25 S. Giorgini , L. P. Pitaevskii , S. Stringari

We analyze the results of a recent experiment with bosonic rubidium atoms harmonically confined in a quasi-two-dimensional geometry. In this experiment a well defined critical point was identified, which separates the high-temperature…

其他凝聚态物理 · 物理学 2008-05-06 Zoran Hadzibabic , Peter Krüger , Marc Cheneau , Steffen Patrick Rath , Jean Dalibard

We develop a functional integral formalism for ultracold gases of fermionic atoms. It describes the BEC - BCS crossover and involves both atom and molecule fields. Beyond mean field theory we include the fluctuations of the molecule field…

超导电性 · 物理学 2010-10-27 S. Diehl , C. Wetterich

We measure the temperature of a deeply degenerate Fermi gas, by using a weakly interacting sample of heavier bosonic atoms as a probe. This thermometry method relies on the thermalization between the two species and on the determination of…

量子气体 · 物理学 2017-05-31 Rianne S. Lous , Isabella Fritsche , Michael Jag , Bo Huang , Rudolf Grimm

We extend to finite temperature a Green's function method that was previously proposed to evaluate ground-state properties of mesoscopic clouds of non-interacting fermions moving under harmonic confinement in one dimension. By calculations…

统计力学 · 物理学 2009-11-07 Z. Akdeniz , P. Vignolo , A. Minguzzi , M. P. Tosi

The structure of binary mixtures of bosonic and fermionic atoms in an external trapping potential at zero temperature is studied on the basis of a modified Gross-Pitaevskii equation for the bosonic component which self-consistently includes…

介观与纳米尺度物理 · 物理学 2009-11-07 Robert Roth

We study density profiles in trapped fermionic gases, near Feshbach resonances, at all $T \leq T_c$ and in the near-BEC and unitary regimes. For the latter, we quantify and characterize the generally neglected contribution from noncondensed…

统计力学 · 物理学 2011-09-13 Jelena Stajic , Qijin Chen , Kathryn Levin

While the zero-temperature properties of harmonically trapped cold few-atom systems have been discussed fairly extensively over the past decade, much less is known about the finite-temperature properties. Working in the canonical ensemble,…

量子气体 · 物理学 2015-06-22 Yangqian Yan , D. Blume
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