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The paper examines a trapped one-dimensional system of multicomponent spinless fermions that interact with a zero-range two-body potential. We show that when the repulsion between particles is very large the system can be approached…

This work is inspired by recent experimental observations in ultracold atomic Bose-Fermi mixtures [DeSalvo et al., Nature 568 (2019)]. These experiments reveal the emergence of an attractive fermion-mediated interaction between bosons, as…

Mathematical Physics · Physics 2025-12-05 Esteban Cárdenas , Joseph K. Miller , David Mitrouskas , Nataša Pavlović

We establish a conceptual framework for the identification and the characterization of induced interactions in binary mixtures and reveal their intricate relation to entanglement between the components or species of the mixture. Exploiting…

Quantum Physics · Physics 2018-08-01 J. Chen , J. M. Schurer , P. Schmelcher

We investigate strong-coupling effects in a three-component atomic Fermi gas. It is a promising candidate for simulating quantum chromodynamics (QCD), and furthermore, the emergence of various phenomena such as color superfluidity and…

Quantum Gases · Physics 2019-07-24 Hiroyuki Tajima , Pascal Naidon

We present a scheme comprised of a one-dimensional system with repulsive interactions, in which the formation of bound pairs can take place in an easily tunable fashion.By capacitively coupling a primary electronic quantum wire of interest…

Strongly Correlated Electrons · Physics 2020-11-30 Gal Shavit , Yuval Oreg

We discuss the effect of Fermi surface curvature on long-distance/time asymptotic behaviors of two-dimensional fermions interacting via a gapless mode described by an effective gauge field-like propagator. By comparing the predictions based…

Strongly Correlated Electrons · Physics 2009-11-11 A. V. Chubukov , D. V. Khveshchenko

We study the effects of four-fermion interaction and impurity on the low-energy states of two-dimensional semi-Dirac materials by virtue of the unbiased renormalization group approach. The coupled flow equations that govern the…

Strongly Correlated Electrons · Physics 2019-04-18 Jing Wang

We follow the evolution of fermion pairing in the dimensional crossover from 3D to 2D as a strongly interacting Fermi gas of $^6$Li atoms becomes confined to a stack of two-dimensional layers formed by a one-dimensional optical lattice.…

Advance in quantum simulations using trapped ions or superconducting elements allows detailed analysis of the transverse field Ising model (TFIM), which can exhibit a quantum phase transition and has been a paradigm in exactly solvable…

Statistical Mechanics · Physics 2018-03-22 Yan He , Hao Guo

We study interlayer pairing of composite fermions in the total $\nu=1/2+1/2$ quantum Hall bilayer as a possible framework for understanding the experimentally observed transition from a compressible state at large layer spacing to a bilayer…

Strongly Correlated Electrons · Physics 2023-10-19 Haoyun Deng , Luis Mendoza , N. E. Bonesteel

We study the effects of induced interactions on the pairing gap, transition temperature and chemical potential of a quasi-two dimensional Fermi gas of atoms with spin-orbit coupling. We find that these mean-field parameters are…

Quantum Gases · Physics 2015-12-15 H. Caldas , R. L. S. Farias , M. Continentino

We study pairing of an interacting three component Fermi gas in two dimensions. By using a mean field theory to decouple the interactions between different pairs of Fermi components, we study the free energy landscapes as a function of…

Other Condensed Matter · Physics 2021-09-08 Theja N. De Silva

Ultra-cold atom experiments offer the unique opportunity to study mixing of different types of superfluid states. Our interest is in superfluid mixtures comprising particles with different statistics- Bose and Fermi. Such scenarios occur…

Quantum Gases · Physics 2015-03-18 B. Ramachandhran , S. G. Bhongale , H. Pu

We consider an impurity problem in a quasi-two-dimensional Fermi gas, where a spin-down impurity is immersed in a Fermi sea of N spin-up atoms. Using a variational approach and an effective two-channel model, we obtain the energies of the…

Atomic Physics · Physics 2022-08-17 Yue-Ran Shi , Jin-Ge Chen , Kuiyi Gao , Wei Zhang

We argue that fermion-boson mapping techniques represent a natural tool for studying many-body supersymmetry in fermionic systems with pairing. In particular, using the generalized Dyson mapping of a many-level fermion superalgebra with the…

Nuclear Theory · Physics 2009-11-10 Pavel Cejnar , Hendrik B. Geyer

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 explore a few-fermion mixture consisting of two components which are repulsively interacting and confined in a one-dimensional harmonic trap. Different scenarios of population imbalance ranging from the completely imbalanced case where…

Quantum Gases · Physics 2015-06-11 Ioannis Brouzos , Peter Schmelcher

A system of a few attractively interacting fermionic $^6$Li atoms in one-dimensional harmonic confinement is investigated. Non-trivial inter-particle correlations induced by interactions in a particle-imbalanced system are studied in the…

Quantum Gases · Physics 2020-04-01 Daniel Pęcak , Tomasz Sowiński

We report the existence of a universal trimer state induced by an impurity interacting with a two-component spin-orbit coupled Fermi gas in two dimensions. In the zero-density limit with a vanishing Fermi sea, the trimer is stabilized by…

Quantum Gases · Physics 2016-11-23 Xingze Qiu , Xiaoling Cui , Wei Yi

We treat the trapped two-component Fermi system, in which unlike fermions interact through a two-body short-range potential having no bound state but an infinite scattering length. By accurately solving the Schroedinger equation for up to…

Other Condensed Matter · Physics 2009-11-13 D. Blume , J. von Stecher , Chris H. Greene