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We study the unscreened Coulomb interaction in a one-dimensional electron system at low-energy. We use renormalization group methods and a GW approximation, in order to analyze the model. This yields both a strong wavefunction…

High Energy Physics - Theory · Physics 2007-05-23 S. Bellucci

We consider the quantum dynamics of $N$ interacting fermions in the large $N$ limit. The particles in the system interact with each other via repulsive interaction that is regularized Coulomb potential with a polynomial cutoff with respect…

Mathematical Physics · Physics 2021-08-31 Li Chen , Jinyeop Lee , Matthew Liew

We study three same spin state fermions of mass M interacting with a distinguishable particle of mass m in the unitary limit where the interaction has a zero range and an infinite s-wave scattering length. We predict an interval of mass…

Quantum Gases · Physics 2015-05-19 Yvan Castin , Christophe Mora , Ludovic Pricoupenko

We report a numerical study of equilibrium phase-diagrams and interfacial properties of bulk and confined colloid-polymer mixtures using grand canonical Monte Carlo simulations. Colloidal particles are treated as hard spheres, while the…

Soft Condensed Matter · Physics 2009-11-13 Andrea Fortini , Peter G. Bolhuis , Marjolein Dijkstra

We model a system of ultracold fermionic dipolar molecules on a two-dimensional square lattice. Assuming that the molecules are in their nondegenerate hyperfine ground state, and that the dipole moment is polarized perpendicular to the…

Quantum Gases · Physics 2011-04-15 K. Mikelsons , J. K. Freericks

We study a Fermi gas with strong, tunable interactions dispersively coupled to a high-finesse cavity. Upon probing the system along the cavity axis, we observe a strong optomechanical Kerr nonlinearity originating from the density response…

We study the condensed phase of a Bose-Fermi mixture with a tunable pairing interaction between bosons and fermions with many-body diagrammatic methods and fixed-node diffusion Quantum Monte Carlo simulations. A universal behavior of the…

Quantum Gases · Physics 2015-02-10 Andrea Guidini , Gianluca Bertaina , Davide Emilio Galli , Pierbiagio Pieri

We study a simple model of N-component fermions with contact interactions which describes fermionic atoms with N=2F+1 hyperfine states loaded into a one-dimensional optical lattice. We show by means of analytical and numerical approaches…

Strongly Correlated Electrons · Physics 2011-10-13 S. Capponi , G. Roux , P. Lecheminant , P. Azaria , E. Boulat , S. R. White

A fundamental concept in physics is the Fermi surface, the constant-energy surface in momentum space encompassing all the occupied quantum states at absolute zero temperature. In 1960, Luttinger postulated that the area enclosed by the…

Strongly Correlated Electrons · Physics 2020-07-21 Md. S. Hossain , M. A. Mueed , M. K. Ma , K. A. V. Rosales , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

The phase diagrams of low density Fermi-Fermi mixtures with equal or unequal masses and equal or unequal populations are described at zero and finite temperatures in the strong attraction limit. In this limit, the Fermi-Fermi mixture can be…

Superconductivity · Physics 2009-11-13 M. Iskin , C. A. R. Sa de Melo

What are the ground states of an interacting, low-density electron system? In the absence of disorder, it has long been expected that as the electron density is lowered, the exchange energy gained by aligning the electron spins should…

Strongly Correlated Electrons · Physics 2020-12-07 Md. S. Hossain , M. K. Ma , K. A. Villegas Rosales , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We consider an interacting system of spinor and electromagnetic field, explicitly depending on the electromagnetic potentials, i.e., interaction with broken gauge invariance. The Lagrangian for interaction is chosen in such a way that the…

General Relativity and Quantum Cosmology · Physics 2010-08-13 Yu. P. Rybakov , G. N. Shikin , Yu. A. Popov , Bijan Saha

Recently, a homogeneous superfluid state with a single gapless Fermi surface was predicted to be the ground state of an ultracold Fermi gas with spin population imbalance in the regime of molecular Bose-Einstein condensation. We study…

Superconductivity · Physics 2009-01-14 Vladimir M. Stojanovic , W. Vincent Liu , Yong Baek Kim

In 1929 Felix Bloch suggested that the paramagnetic Fermi sea of electrons should make a spontaneous transition to a fully-magnetized state at very low densities, because the exchange energy gained by aligning the spins exceeds the…

Recently there have been several proposals of materials predicted to be nodal-ring semimetals, where zero energy excitations are characterized by a nodal ring in the momentum space. This class of materials falls between the Dirac-like…

Strongly Correlated Electrons · Physics 2016-02-03 Yejin Huh , Eun-Gook Moon , Yong Baek Kim

We study a system of one-dimensional electrons in the regime of strong repulsive interactions, where the spin exchange coupling J is small compared with the Fermi energy, and the conventional Tomonaga-Luttinger theory does not apply. We…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. A. Matveev , A Furusaki , L. I. Glazman

We consider the many-body ground state of polarized fermions interacting via zero-range $\mathfrak{p}$-wave forces in a one-dimensional geometry. We rigorously prove that in the limit of infinite attractions spectral properties of any-order…

Quantum Gases · Physics 2023-06-26 Przemysław Kościk , Tomasz Sowiński

Realizing strong nonlinear optical responses is a long-standing goal of both fundamental and technological importance. Recently significant efforts have focused on exploring excitons in solids as a pathway to achieving nonlinearities even…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Liuxin Gu , Lifu Zhang , Ruihao Ni , Ming Xie , Dominik S. Wild , Suji Park , Houk Jang , Takashi Taniguchi , Kenji Watanabe , Mohammad Hafezi , You Zhou

We consider atomic Bose-Fermi mixtures in optical lattices and study the superfluidity of fermionic atoms due to s-wave pairing induced by boson-fermion interactions. We prove that the induced fermion-fermion coupling is always {\it…

Condensed Matter · Physics 2007-05-23 F. Illuminati , A. Albus

Interference is a universal consequence of superposition, yet in composite quantum systems it can encode correlations between subsystems. We show that in coupled electron-nuclear dynamics, interference in the nuclear density can arise…

Quantum Physics · Physics 2026-03-04 Matisse Wei-Yuan Tu , Angel Rubio , E. K. U. Gross