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Related papers: Stability of the 2+2 fermionic system with point i…

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We consider a Dirac field in 2+1 dimensions with a domain wall like defect in its mass, minimally coupled to a dynamical Abelian vector field. The mass of the fermionic field is assumed to have just one linear domain wall, which is…

High Energy Physics - Theory · Physics 2009-11-07 L. Da Rold , C. D. Fosco , A. Lopez

In this work we employ a simple pairing interaction model in order to study and classify an eventual pairing phase transition in finite fermionic systems. We show that systems with as few as 10-16 fermions can exhibit clear features…

Superconductivity · Physics 2007-05-23 A. Belic , D. J. Dean , M. Hjorth-Jensen

We study the dynamical response of a harmonically trapped two-component few-fermion mixture to the external gaussian potential barrier moving across the system. The simultaneous role played by inter-particle interactions, rapidity of the…

Quantum Gases · Physics 2021-05-26 Dillip K. Nandy , Tomasz Sowiński

An ultracold gas of interacting fermionic atoms in a three-dimensional optical lattice is considered, where the lattice potential strength is periodically modulated. This non-equilibrium system is non-perturbatively described by means of a…

Quantum Physics · Physics 2016-03-07 Regine Frank

The effects of interactions in a 2D electron system in a strong magnetic field of two degenerate Landau levels with opposite spins and at filling factors 1/2 are studied. Using the Chern-Simons gauge transformation, the system is mapped to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matteo Merlo , Nicodemo Magnoli , Maura Sassetti , Bernhard Kramer

We study low-lying states of even carbon isotopes in the range A = 10 - 20 within the large- scale no-core shell model (NCSM). Using several accurate nucleon-nucleon (NN) as well as NN plus three-nucleon (NNN) interactions, we calculate…

Nuclear Theory · Physics 2013-04-01 Christian Forssén , Robert Roth , Petr Navrátil

In this paper, we investigate the bound states of $2+1$ fermionic trimers on a three-dimensional lattice at strong coupling. Specifically, we analyze the discrete spectrum of the associated three-body discrete Schr\"odinger operator…

Spectral Theory · Mathematics 2025-02-04 Janikul Abdullaev , Ahmad Khalkhuzhaev , Shokhrukh Yu. Kholmatov

Dilute gases of 2-component fermions are of great interest in atomic and nuclear physics. When interactions are strong enough so that a bound state is at threshold, universal behavior is expected. Lattice field theory provides a first…

Statistical Mechanics · Physics 2016-08-31 Matthew Wingate

A quantum mechanical three-body problem for two identical fermions of mass $m$ and a distinct particle of mass $m_1$ in the universal limit of zero-range two-body interaction is studied. For the unambiguous formulation of the problem in the…

Quantum Gases · Physics 2016-09-27 O. I. Kartavtsev , A. V. Malykh

Passive states are special configurations of a quantum system which exhibit no energy decrement at the end of an arbitrary cyclic driving of the model Hamiltonian. When applied to an increasing number of copies of the initial density…

Quantum Physics · Physics 2020-06-02 Raffaele Salvia , Vittorio Giovannetti

We address the problem of stability of one-dimensional non-periodic ground-state configurations with respect to finite-range perturbations of interactions in classical lattice-gas models. We show that a relevant property of non-periodic…

Statistical Mechanics · Physics 2025-05-30 Damian Głodkowski , Jacek Miȩkisz

We consider weakly interacting diffusions on the torus, for multichromatic interaction potentials. We consider interaction potentials that are not H-stable, leading to phase transitions in the mean field limit. We show that the mean field…

Mathematical Physics · Physics 2025-03-18 Benedetta Bertoli , Benjamin D. Goddard , Grigorios A. Pavliotis

We study spin-1/2 fermions, interacting via a two-body contact potential, in a one-dimensional harmonic trap. Applying exact diagonalization, we investigate their behavior at finite interaction strength, and discuss the role of the…

Quantum Physics · Physics 2013-09-09 Tomasz Sowiński , Tobias Grass , Omjyoti Dutta , Maciej Lewenstein

We consider a harmonically trapped few-Boson system under rotation and investigate the ground state properties beyond the usual ``lowest Landau level'' approximation by using exact diagonalizations in a restricted Hilbert subspace. We find…

Statistical Mechanics · Physics 2007-05-23 Xiaji Liu , Hui Hu , Lee Chang , Shi-Qun Li

Nematic Fermi liquid arises when the system of interacting fermions spontaneously breaks the rotational symmetry while the translational symmetry is preserved. We consider a Nematic Fermi liquid of fermions with two distinct quantum…

Strongly Correlated Electrons · Physics 2015-06-24 Yong Baek Kim , Hae-Young Kee

When confined to two dimensions and exposed to a strong magnetic field, electrons screen the Coulomb interaction in a topological fashion; they capture and even number of quantum vortices and transform into particl es called `composite…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Vito W. Scarola , Kwon Park , J. K. Jain

We study the ground state and low-energy excitations of fractional quantum Hall systems on a disk at filling fraction $\nu = 5/2$, with Coulomb interaction and background confining potential. We find the Moore-Read ground state is stable…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Xin Wan , Kun Yang , E. H. Rezayi

Motivated by the realization of hard-wall boundary conditions in experiments with ultracold atoms, we investigate the ground-state properties of spin-1/2 fermions with attractive interactions in a one-dimensional box. We use lattice Monte…

Quantum Gases · Physics 2016-10-26 J. R. McKenney , C. R. Shill , W. J. Porter , J. E. Drut

We study the ground-state of a Fermi gas with short range attrative interactions in one or two dimensions. N fermions are placed in a confining potential, and interact with each other through a negative potential, whose range is larger than…

Mathematical Physics · Physics 2026-02-26 Thomas Gamet

In this paper, we discuss the angular momentum distribution in the ground states of many-body systems interacting via a two-body random ensemble. Beginning with a few simple examples, a simple approach to predict P(I)'s, angular momenta I…

Nuclear Theory · Physics 2009-11-07 Y. M. Zhao , A. Arima , N. Yoshinaga