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

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We present an improved upper bound for the ground state energy of lattice fermion models with sign problem. The bound can be computed by numerical simulation of a recently proposed family of deformed Hamiltonians with no sign problem. For…

High Energy Physics - Lattice · Physics 2009-11-07 Matteo Beccaria

We consider a fully polarized ultracold Fermi gas interacting through a p-wave Feshbach resonance. Using a two-channel model, we find the effective potential at the point where the p-wave scattering length goes to zero. Here the effective…

Quantum Gases · Physics 2010-05-11 N. T. Zinner

The pair-specific ground state energy of Newtonian N-body systems grows monotonically in N. This furnishes a whole family of simple new tests for minimality of putative ground state energies obtained through computer experiments. Inspection…

Mathematical Physics · Physics 2015-05-13 Michael K. -H. Kiessling

Ultracold Fermi gases with tuneable interactions represent a unique test bed to explore the many-body physics of strongly interacting quantum systems. In the past decade, experiments have investigated a wealth of intriguing phenomena, and…

Semiclassical theories like the Thomas-Fermi and Wigner-Kirkwood methods give a good description of the smooth average part of the total energy of a Fermi gas in some external potential when the chemical potential is varied. However, in…

Other Condensed Matter · Physics 2010-12-23 M. Centelles , P. Leboeuf , A. G. Monastra , J. Roccia , P. Schuck , X. Vinas

We report an experimental and theoretical study of the antiferromagnetic S=1/2 chain subject to uniform and staggered fields. Using inelastic neutron scattering, we observe a novel bound-spinon state at high energies in the linear chain…

Strongly Correlated Electrons · Physics 2009-11-11 M. Kenzelmann , C. D. Batista , Y. Chen , C. Broholm , D. H. Reich , S. Park , Y. Qiu

The nonequilibrium stationary state of an exclusive genetic switch is considered. The model comprises two competing species and a single binding site which, when bound to by a protein of one species, causes the other species to be…

Statistical Mechanics · Physics 2013-01-24 J. Venegas-Ortiz , M. R. Evans

We present a solution of the three-fermion problem in a harmonic potential across a Feshbach resonance. We compare the spectrum with that of the two-body problem and show that it is energetically unfavorable for the three fermions to occupy…

Other Condensed Matter · Physics 2007-09-26 J. P. Kestner , L. -M. Duan

The dimensionless universal coefficient $\xi$ defines the ratio of the unitary fermions energy density to that for the ideal non-interacting ones in the non-relativistic limit with T=0. The classical Thomson Problem is taken as a…

Nuclear Theory · Physics 2016-09-08 Ji-sheng Chen

We consider population-imbalanced two-component Fermi gases under external harmonic confinement interacting through short-range two-body potentials with diverging s-wave scattering length. Using the fixed-node diffusion Monte Carlo method,…

Other Condensed Matter · Physics 2009-11-13 D. Blume

We use the chain of simple heuristic expedients to obtain perturbative and exactly solvable relativistic spectra for a family of two-fermionic bound systems with Coulomb-like interaction. In the case of electromagnetic interaction the…

Nuclear Theory · Physics 2008-11-26 Askold Duviryak

We determine the free energy of strongly interacting matter as a function of an applied constant and uniform magnetic field. We consider N_f = 2+1 QCD with physical quark masses, discretized on a lattice by stout improved staggered fermions…

High Energy Physics - Lattice · Physics 2014-05-15 Claudio Bonati , Massimo D'Elia , Marco Mariti , Francesco Negro , Francesco Sanfilippo

We study the properties of a Fermi liquid coupled to a quantum critical boson via the two-boson interaction known as Ngai's coupling. We find that the original quantum critical point is generally unstable, resulting in a finite-momentum…

Strongly Correlated Electrons · Physics 2025-04-17 Phu Nguyen , Vladyslav Kozii

We present lattice results for spin-1/2 fermions at unitarity, where the effective range of the interaction is zero and the scattering length is infinite. We measure the spatial coherence of difermion pairs for a system of 6, 10, 14, 18,…

Statistical Mechanics · Physics 2008-11-26 Dean Lee

We investigate the stability of the relativistic three-fermion system with a zero-range force in the light front form. In particular, introducing an invariant cut-off, we study the dependence of the bound state on the coupling strength also…

Nuclear Theory · Physics 2011-03-04 Stefano Mattiello , Stefan Strauss

We investigate the spin structure of many-fermion systems with a spin-conserving two-body random interaction. We find a strong dominance of spin-0 ground states and considerable correlations between energies and wave functions of low-lying…

Nuclear Theory · Physics 2009-08-14 Lev Kaplan , Thomas Papenbrock , Calvin W. Johnson

We examine a one-dimensional two-component fermionic system in a trap, assuming that all particles have the same mass and interact through a strong repulsive zero-range force. First we show how a simple system of three strongly interacting…

Quantum Gases · Physics 2015-04-23 A. G. Volosniev , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We investigate the crossover from BCS pairing to molecular BEC in an atomic gas with two fermion species with masses $m_\up \ne m_\dn$ tuned through a Feshbach resonance. We present results for the T=0 equation of state as a function of the…

Quantum Gases · Physics 2015-05-13 Roberto B. Diener , Mohit Randeria

We investigate the two lowest-lying weakly bound states of $N \leq 8$ bosons as functions of the strength of two-body Gaussian interactions. We observe the limit for validity of Efimov physics. We calculate energies and second radial…

Quantum Physics · Physics 2017-12-22 S. E. Rasmussen , A. S. Jensen , D. V. Fedorov

We consider a 2D quantum system of $N$ bosons in a trapping potential $|x|^s$, interacting via a pair potential of the form $N^{2\beta-1} w(N^\beta x)$. We show that for all $0 \textless{} \beta \textless{} (s+1)/(s+2)$, the leading order…

Mathematical Physics · Physics 2015-10-23 Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie
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