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The low temperature thermodynamics of one-dimensional strongly repulsive SU(3) fermions in the presence of a magnetic field is investigated via the Yang-Yang thermodynamic Bethe ansatz method. The analytical free energy and magnetic…

Quantum Gases · Physics 2011-10-14 Peng He , Jen Yee Lee , Xiwen Guan , Murray T. Batchelor , Yupeng Wang

In this Rapid Communication, we investigate the universal properties of a spin-polarized two-component Fermi gas in one dimension (1D) using Bethe ansatz. We discuss the quantum phases and phase transitions by obtaining exact results for…

Quantum Gases · Physics 2016-10-12 Wen-Bin He , Yang-Yang Chen , Shizhong Zhang , Xi-Wen Guan

We investigate the low temperature thermodynamics and correlation functions of one-dimensional spin-1/2 fermions with strong repulsion in an external magnetic field via the thermodynamic Bethe ansatz method. The exact thermodynamics of the…

Quantum Gases · Physics 2013-05-16 J. Y. Lee , X. W. Guan , K. Sakai , M. T. Batchelor

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

Ultracold three-component atomic Fermi gases in one dimension are expected to exhibit rich physics due to the presence of trions and different pairing states. Quantum phase transitions from the trion state into a paired phase and a normal…

Quantum Gases · Physics 2010-12-23 Peng He , Xiangguo Yin , Xiwen Guan , Murray T. Batchelor , Yupeng Wang

We investigate the low temperature behaviour of the integrable 1D two-component spinor Bose gas using the thermodynamic Bethe ansatz. We find that for strong coupling the characteristics of the thermodynamics at low temperatures are…

Statistical Mechanics · Physics 2007-10-22 X. -W. Guan , M. T. Batchelor , M. Takahashi

We calculate the frequency of collective modes of a one-dimensional repulsively interacting Fermi gas with high-spin symmetry confined in harmonic traps at zero temperature. This is a system realizable with fermionic alkaline-earth-metal…

Quantum Gases · Physics 2015-01-23 Xia-Ji Liu , Hui Hu

This article reviews theoretical and experimental developments for one-dimensional Fermi gases. Specifically, the experimentally realized two-component delta-function interacting Fermi gas -- the Gaudin-Yang model -- and its generalisations…

Quantum Gases · Physics 2013-12-02 Xi-Wen Guan , Murray T. Batchelor , Chaohong Lee

From sand piles to electrons in metals, one of the greatest challenges in modern physics is to understand the behavior of an ensemble of strongly interacting particles. A class of quantum many-body systems such as neutron matter and cold…

Quantum Gases · Physics 2010-06-01 Sylvain Nascimbène , Nir Navon , Kaijun Jiang , Frédéric Chevy , Christophe Salomon

The physics of quantum degenerate Fermi gases in uniform as well as in harmonically trapped configurations is reviewed from a theoretical perspective. Emphasis is given to the effect of interactions which play a crucial role, bringing the…

Other Condensed Matter · Physics 2009-11-13 Stefano Giorgini , Lev P. Pitaevskii , Sandro Stringari

Interacting Fermi gas provides an ideal model system to understand unconventional pairing and intertwined orders relevant to a large class of quantum materials. Rydberg-dressed Fermi gas is a recent experimental system where the sign,…

Quantum Gases · Physics 2020-03-05 Ahmet Keles , Erhai Zhao , Xiaopeng Li

We study the attractive and repulsive two-component Fermi gas with spin imbalance in two dimensions. Using a generalized $T$-matrix approximation, we examine the thermodynamic properties of both attractive and repulsive contact interacting…

Quantum Gases · Physics 2014-08-15 Weiran Li

This article briefly reviews recent theoretical developments in quantum critical phenomena in one-dimensional (1D) integrable quantum gases of cold atoms. We present a discussion on quantum phase transitions, universal thermodynamics,…

Quantum Gases · Physics 2015-06-22 Xiwen Guan

Spin susceptibility of a clean Fermi gas with repulsion in any dimension is considered using a supersymmetric low energy theory of interacting spin excitations and renormalization scheme recently proposed by Aleiner and Efetov…

Strongly Correlated Electrons · Physics 2009-11-11 G. Schwiete , K. B. Efetov

In this letter we present a unified derivation of the pressure equation of states, thermodynamics and scaling functions for the one-dimensional (1D) strongly attractive Fermi gases with $SU(w)$ symmetry. These physical quantities provide a…

Quantum Gases · Physics 2017-09-06 Yi-Cong Yu , Xiwen Guan

By using unbiased continuos-space quantum Monte Carlo simulations, we investigate the ground state properties of a one-dimensional repulsive Fermi gas subjected to a commensurate periodic optical lattice (OL) of arbitrary intensity. The…

Quantum Gases · Physics 2017-08-23 Sebastiano Pilati , Luca Barbiero , Rosario Fazio , Luca Dell'Anna

Using the thermodynamic Bethe ansatz equations we study the quantum phase diagram, thermodynamics and criticality of one-dimensional spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions. We…

Quantum Gases · Physics 2012-04-12 C. C. N. Kuhn , X. W. Guan , A. Foerster , M. T. Batchelor

We predict the phase separations of two-dimensional Fermi gases with repulsive contact-type interactions between two spin components. Using density-potential functional theory with systematic semiclassical approximations, we address the…

Due to the vast growth of the many-body level density with excitation energy, its smoothed form is of central relevance for spectral and thermodynamic properties of interacting quantum systems. We compute the cumulative of this level…

Quantum Gases · Physics 2019-06-26 Quirin Hummel , Juan Diego Urbina , Klaus Richter

We investigate magnetic properties and statistical effects in 1D strongly repulsive two-component fermions and in a 1D mixture of strongly repulsive polarized fermions and bosons. Universality in the characteristics of phase transitions,…

Statistical Mechanics · Physics 2008-08-23 X. -W. Guan , M. T. Batchelor , J. -Y. Lee
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