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We investigate some exact static and dynamic properties of one-dimensional fermionic Tonks-Girardeau gases in tight de Broglie waveguides with attractive p-wave interactions induced by a Feshbach resonance. A closed form solution for the…

Soft Condensed Matter · Physics 2009-11-11 M. D. Girardeau , E. M. Wright

A K-matrix for waveguide confined spin-polarized fermionic atoms recently computed by Granger and Blume is identified, in the low-energy domain, with a contact condition for one-dimensional (1D) spinless fermions. Difficulties in…

Soft Condensed Matter · Physics 2007-05-23 M. D. Girardeau , M. Olshanii

A harmonically trapped ultracold 1D spin-1 Bose gas with strongly repulsive or attractive 1D even-wave interactions induced by a 3D Feshbach resonance is studied. The exact ground state, a hybrid of Tonks-Girardeau (TG) and ideal Fermi…

Quantum Gases · Physics 2013-05-29 M. D. Girardeau

One-dimensional spinor gases with strong delta interaction fermionize and form a spin chain. The spatial degrees of freedom of this atom chain can be described by a mapping to spinless noninteracting fermions and the spin degrees of freedom…

Quantum Gases · Physics 2016-09-22 Frank Deuretzbacher , Daniel Becker , Luis Santos

We investigate the statics and dynamics of spatial phase segregation process of a mixture of fermion atoms in a harmonic trap using the density functional theory. The kinetic energy of the fermion gas is written in terms of the density and…

Atomic and Molecular Clusters · Physics 2009-11-07 K. Esfarjani , S. T. Chui , V. Kumar , Y. Kawazoe

The Stoner model predicts that a two-component Fermi gas at increasing repulsive interactions undergoes a ferromagnetic transition. Using the random-phase approximation we study the dynamical properties of the interacting Fermi gas. For an…

Quantum Gases · Physics 2015-05-28 Matteo Sandri , Anna Minguzzi , Flavio Toigo

In the present paper we investigate the Tonks-Girardeau gas confined in a harmonic trap at finite temperature with thermal Bose-Fermi mapping method. The pair distribution, density distribution, reduced one-body density matrix, the…

Quantum Gases · Physics 2016-12-21 Yajiang Hao , Yafei Song , Xiaochen Fu

We investigate the ground state properties of anti-ferromagnetic spin-1 Bose gases in one dimensional harmonic potential from the weak repulsion regime to the strong repulsion regime. By diagonalizing the Hamiltonian in the Hilbert space…

Quantum Gases · Physics 2017-04-05 Yajiang Hao

A significant feature of the one-dimensional super Tonks-Girardeau gas is its metastable gas-like state with a stronger Fermi-like pressure than for free fermions which prevents a collapse of atoms. This naturally suggests a way to search…

Quantum Gases · Physics 2010-03-29 Shu Chen , Xi-Wen Guan , Xiangguo Yin , Liming Guan , Murray T Batchelor

We investigate the effect of the anisotropic spin-spin interaction on the ground state density distribution of the one dimensional spin-1 bosonic gases within a modified Gross-Pitaevskii theory both in the weakly interaction regime and in…

Strongly Correlated Electrons · Physics 2007-08-27 Yajiang Hao , Yunbo Zhang , J. Q. Liang , Shu Chen

In this work, we study the dynamics of an atomic harmonically trapped large-spin Fermi gas in one dimension (1D). We investigate the interplay of different collision processes. Coherent spin oscillations, driven by spin-changing forward…

Quantum Gases · Physics 2016-12-13 Ulrich Ebling , André Eckardt

We consider a trapped atomic system in the presence of spatially varying laser fields. The laser-atom interaction generates a pseudospin degree of freedom (referred to simply as spin) and leads to an effective spin-orbit coupling for the…

Other Condensed Matter · Physics 2007-12-18 Tudor D. Stanescu , Chuanwei Zhang , Victor Galitski

We consider the single particle correlations and momentum distributions in a gas of strongly interacting spinless 1D fermions with zero-range interactions. This system represents a fermionic version of the Tonks-Girardeau gas of…

Other Condensed Matter · Physics 2009-11-10 Scott A. Bender , Kevin D. Erker , Brian E. Granger

We theoretically investigate the spin-dipole oscillation of a strongly interacting Fermi gas in a harmonic trap. By using a combined diagrammatic strong-coupling theory with a local density approximation and a sum rule approach, we clarify…

Quantum Gases · Physics 2020-01-22 Hiroyuki Tajima , Alessio Recati , Yoji Ohashi

We investigate the particle and kinetic energy densities of harmonically trapped fermion gases at zero temperature in arbitrary dimensions. We derive analytically a differential equation connecting these densities, which so far have been…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Matthias Brack , M. V. N. Murthy

Understanding the quantum dynamics of strongly interacting fermions is a problem relevant to diverse forms of matter, including high-temperature superconductors, neutron stars, and quark-gluon plasma. An appealing benchmark is offered by…

The propagation of zero sound in a spin-polarized Fermi gas under harmonic confinement is studied as a function of the mean-field interactions with a second Fermi gas. A local-density treatment is compared with the numerical solution of the…

Statistical Mechanics · Physics 2016-08-31 Z. Akdeniz , P. Vignolo , M. P. Tosi

The nature of strongly interacting Fermi gases and magnetism is one of the most important and studied topics in condensed-matter physics. Still, there are many open questions. A central issue is under what circumstances strong short-range…

Quantum Gases · Physics 2014-06-05 E. J. Lindgren , J. Rotureau , C. Forssén , A. G. Volosniev , N. T. Zinner

We study the dynamics of a one-dimensional Bose gas after a sudden change of the interaction strength from zero to a finite value using the numerical time-evolving block decimation (TEBD) algorithm. It is shown that despite the…

Quantum Physics · Physics 2015-03-13 Dominik Muth , Bernd Schmidt , Michael Fleischhauer

We theoretically investigate an ultracold spin-polarized atomic Fermi gas with resonant odd-channel ($p$-wave) interactions trapped in one-dimensional harmonic traps. We solve the Yang-Yang thermodynamic equations based on the exact Bethe…

Quantum Gases · Physics 2024-08-26 Xiao-Long Chen , Xia-Ji Liu , Hui Hu