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We study in this paper the general properties of a many body system of fermions in arbitrary dimensions assuming that the {\em momentum} of individual fermions are good quantum numbers of the system. We call these systems $k$-Fermi liquids.…

Strongly Correlated Electrons · Physics 2020-01-20 Tai-Kai Ng

We present measurements of the dynamical structure factor $S(q,\omega)$ of an interacting one-dimensional (1D) Fermi gas for small excitation energies. We use the two lowest hyperfine levels of the $^6$Li atom to form a pseudo-spin-1/2…

Atomic Physics · Physics 2018-09-12 T. L. Yang , P. Grišins , Y. T. Chang , Z. H. Zhao , C. Y. Shih , T. Giamarchi , R. G. Hulet

In one-dimensional (1D) systems, electronic interactions lead to a breakdown of Fermi liquid theory and the formation of a Tomonaga-Luttinger Liquid (TLL). The strength of its many-body correlations can be quantified by a single…

The behavior of ultracold atomic gases depends crucially on the two-body scattering properties of these systems. We develop a multichannel scattering theory for atom-atom collisions in quasi-one-dimensional (quasi-1D) geometries such as…

Condensed Matter · Physics 2009-11-10 Brian E. Granger , D. Blume

We investigate how the different velocities characterizing the low-energy spectral properties and the low-temperature thermodynamics of one-dimensional correlated electron systems (Luttinger liquids) affect the transport properties of…

Strongly Correlated Electrons · Physics 2009-11-13 S. Friederich , V. Meden

Motivated by the experimental observation of spin-charge separation in one-dimensional interacting Fermi gases, we investigate these systems in the presence of spin-orbit coupling and Rabi fields. We demonstrate that spin-charge-separated…

Quantum Gases · Physics 2024-05-31 Xiaoyong Zhang , Carlos A. R. Sá de Melo

We consider spin transport in a two-component ultracold Fermi gas with attractive interspecies interactions close to the BCS pairing transition. In particular, we consider the spin-transport relaxation rate and the spin-diffusion constant.…

Quantum Gases · Physics 2013-04-08 M. P. Mink , V. P. J. Jacobs , Marco Polini , G. Vignale , H. T. C. Stoof , R. A. Duine

In this work we show that stationary light-matter excitations generated inside a hollow one-dimensional waveguide filled with atoms, can be made to generate a photonic two-component Lieb Liniger model. We explain how to prepare and drive…

Quantum Physics · Physics 2015-05-19 Dimitris G. Angelakis , Mingxia Huo , Elica Kyoseva , Leong Chuan kwek

We study Dirac fermions at finite density coupled to a complex pairing field assumed to obey scalar field theory with quartic self-repulsion. The bulk of our work develops the mathematics that elucidates the propagation of fermionic…

Mathematical Physics · Physics 2024-11-15 Laith H. Haddad

The model of interacting fermion systems in one dimension known as Tomonaga-Luttinger liquid (TLL) provides a simple and exactly solvable theoretical framework, predicting various intriguing physical properties. Evidence of TLL has been…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Hiroshi Kamata , Norio Kumada , Masayuki Hashisaka , Koji Muraki , Toshimasa Fujisawa

We investigate thermodynamics and quantum criticality of strongly attractive Fermi gases confined in a one-dimensional (1D) harmonic trap. Finite temperature density profiles, entropy, compressibility and susceptibility of the trapped gas…

Quantum Gases · Physics 2015-03-17 Xiangguo Yin , Xi-Wen Guan , Shu Chen , Murray T Batchelor

Helical Luttinger liquids, appearing at the edge of two-dimensional topological insulators, represent a new paradigm of one-dimensional systems, where peculiar quantum phenomena can be investigated. Motivated by recent experiments on charge…

Mesoscale and Nanoscale Physics · Physics 2015-11-17 Alessio Calzona , Matteo Carrega , Giacomo Dolcetto , Maura Sassetti

Fractionalization remains one of the most fascinating manifestations of strong interactions in quantum many-body systems. In quantum magnetism, the existence of spinons -- collective magnetic excitations that behave as quasiparticles with…

Strongly Correlated Electrons · Physics 2025-07-31 N. E. Shaik , E. Fogh , B. Dalla Piazza , B. Normand , D. Ivanov , H. M. Rønnow

We consider projected wavefunctions for the 2D $t-J$ model. For various wavefunctions, including correlated Fermi-liquid and Luttinger-type wavefunctions we present the static charge-charge and spin-spin structure factors. Comparison with…

Condensed Matter · Physics 2009-10-22 Claudius Gros , Roser Valenti

The nature of charge transport within a correlated background medium can be described by spinless fermions coupled to bosons in the model introduced by Edwards. Combining numerical density matrix renormalization group and analytical…

Strongly Correlated Electrons · Physics 2015-06-11 S. Ejima , S. Sykora , K. W. Becker , H. Fehske

We consider the dynamic response functions of interacting one dimensional spin-1/2 fermions at arbitrary momenta. We build a non-perturbative zero-temperature theory of the threshold singularities using mobile impurity Hamiltonians. The…

Strongly Correlated Electrons · Physics 2015-03-13 Thomas L. Schmidt , Adilet Imambekov , Leonid I. Glazman

We evaluate the spectral function of interacting fermions in one dimension. Contrary to the Tomonaga-Luttinger model, our treatment accounts for the nonlinearity of the free fermion spectrum. In a striking departure from the Luttinger…

Mesoscale and Nanoscale Physics · Physics 2007-10-02 M. Khodas , M. Pustilnik , A. Kamenev , L. I. Glazman

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

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…

The complex interplay between charge and spin dynamics lies at the heart of strongly correlated quantum materials, and it is a fundamental topic in basic research with far reaching technological perspectives. We explore in this paper the…

Strongly Correlated Electrons · Physics 2025-12-09 Jens H. Nyhegn , Kristian Knakkergaard Nielsen , Leon Balents , Georg M. Bruun
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