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Quantum many-body systems in one dimension (1D) exhibit some peculiar properties. In this article, we review some of our work on strongly interacting 1D spinor quantum gas. First, we discuss a generalized Bose-Fermi mapping that maps the…

Quantum Gases · Physics 2022-12-07 Li Yang , Shah Saad Alam , Han Pu

We study the properties of a spin-polarized Fermi gas in a harmonic trap, using the semiclassical (Thomas-Fermi) approximation. Universal forms for the spatial and momentum distributions are calculated, and the results compared with the…

Quantum Physics · Physics 2009-10-30 D. A. Butts , D. S. Rokhsar

We model the one-dimension (1D) to three-dimension (3D) crossover in a cylindrically trapped Fermi gas with attractive interactions and spin-imbalance. We calculate the mean-field phase diagram, and study the relative stability of exotic…

Quantum Gases · Physics 2016-12-22 Shovan Dutta , Erich J. Mueller

We calculate the density profiles and density correlation functions of the one-dimensional Bose gas in a harmonic trap, using the exact finite-temperature solutions for the uniform case, and applying a local density approximation. The…

Statistical Mechanics · Physics 2009-11-11 K. V. Kheruntsyan , D. M. Gangardt , P. D. Drummond , G. V. Shlyapnikov

This article is devoted to the study of two-dimensional Bose gases harmonically confined. We first summarize their equilibrium properties. For such a gas above the critical temperature, we also derive the frequencies and the damping of the…

Other Condensed Matter · Physics 2015-06-24 David Guery-Odelin , Thierry Lahaye

We revisit early suggestions to observe spin-charge separation (SCS) in cold-atom settings {in the time domain} by studying one-dimensional repulsive Fermi gases in a harmonic potential, where pulse perturbations are initially created at…

Statistical Mechanics · Physics 2022-09-21 Stefano Scopa , Pasquale Calabrese , Lorenzo Piroli

We investigate the thermodynamics of a spin-1 Bose gas with fixed magnetization including the quadratic Zeeman energy shift. Our calculations are based on the grand canonical description for the ideal gas and the classical fields…

Quantum Gases · Physics 2015-05-20 Guillaume Lang , Emilia Witkowska

We measure the density profiles for a Fermi gas of $^6$Li containing $N_1$ spin-up atoms and $N_2$ spin-down atoms, confined in a quasi-two-dimensional geometry. The spatial profiles are measured as a function of spin-imbalance $N_2/N_1$…

Quantum Gases · Physics 2015-03-20 W. Ong , C. -Y. Cheng , I. Arakelyan , J. E. Thomas

A many body theory for a two-component system of spin polarized interacting fermions in a one-dimensional harmonic trap is developed. The model considers two different states of the same fermionic species and treats the dominant…

Quantum Physics · Physics 2009-11-07 Gao Xianlong , W. Wonneberger

A fundamental question in many-body physics is how closed quantum systems reach equilibrium. We address this question experimentally and theoretically in an ultracold large-spin Fermi gas where we find a complex interplay between internal…

We theoretically investigate quantum-mechanical dynamics of quasi-one-dimensional boson-fermion mixtures of atomic gases trapped in a toroidal potential, where effective inter-atomic interactions are tunable and affect the dynamics. We…

Quantum Gases · Physics 2013-01-08 Ryosuke Shibato , Takushi Nishimura

We investigate strong-coupling corrections to single-particle excitations in the normal state of a spin-polarized unitary Fermi gas. Within the framework of an extended T-matrix approximation, we calculate the single-particle density of…

Quantum Gases · Physics 2015-06-17 Takashi Kashimura , Ryota Watanabe , Yoji Ohashi

We discuss a recent bosonization method developed to study clean Fermi gases with a repulsion in any dimensions. The method enables one to consider both density and spin excitations. It is demonstrated that due to a non-abelian structure of…

Strongly Correlated Electrons · Physics 2009-11-11 K. B. Efetov , I. L. Aleiner

Using a Boltzmann equation approach, we analyze how the spin drag of a trapped interacting fermionic mixture is influenced by the non-homogeneity of the system in a classical regime where the temperature is much larger than the Fermi…

Quantum Gases · Physics 2013-12-23 Olga Goulko , Frédéric Chevy , Carlos Lobo

Harnessing spins as carriers for information has emerged as an elegant extension to the transport of electrical charges. The coherence of such spin transport in spintronic circuits is determined by the lifetime of spin excitations and by…

Quantum Gases · Physics 2014-07-24 Marco Koschorreck , Daniel Pertot , Enrico Vogt , Michael Köhl

An important tool for understanding the effects of interactions in harmonically trapped atomic gases is the examination of their collective modes. One such mode is the breathing or monopole mode, which is special as it is constrained to…

Quantum Gases · Physics 2022-01-05 Jeff Maki

Strongly interacting one-dimensional (1D) Bose-Fermi mixtures form a tunable XXZ spin chain. Within the spin-chain model developed here, all properties of these systems can be calculated from states representing the ordering of the bosons…

Quantum Gases · Physics 2017-04-25 F. Deuretzbacher , D. Becker , J. Bjerlin , S. M. Reimann , L. Santos

We present an exact numerical study of the scaling of density and momentum distribution functions of harmonically trapped one-dimensional bosons with repulsive contact interactions at zero and finite temperatures. We use path integral…

Quantum Gases · Physics 2016-09-05 Wei Xu , Marcos Rigol

We discuss magnetism in spinor quantum gases theoretically and experimentally with emphasis on temporal dynamics of the spinor order parameter in the presence of an external magnetic field. In a simple coupled Gross-Pitaevskii picture we…

Statistical Mechanics · Physics 2009-11-10 H. Schmaljohann , M. Erhard , J. Kronjäger , K. Sengstock , K. Bongs

Possible signatures of a super-Tonks-Girardeau gas in bosonic systems of trapped quasi-one-dimensional dipoles are discussed at zero temperature. We provide estimation of the frequency of the lowest compressional mode and compare it to…

Other Condensed Matter · Physics 2009-11-13 G. E. Astrakharchik , Yu. E. Lozovik