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We perform a variational quantum Monte Carlo simulation of the transition from a Bardeen-Cooper-Schrieffer superfluid (BCS) to a Bose-Einstein condensate (BEC) at zero temperature. The model Hamiltonian involves an attractive short range…

Other Condensed Matter · Physics 2008-12-01 R. Jauregui , R. Paredes , L. Rosales-Zarate , G. Toledo Sanchez

We study the dilute fermion gas with pairing between two species and unequal concentrations in a harmonic trap using the mean field theory and the local density approximation. We found that the system can exhibit a superfluid shell…

Superconductivity · Physics 2007-11-27 C. -H. Pao , shin-Tza Wu , S. -K. Yip

A simple approximation to shell model is proposed in which the low energy excitation spectra corresponds to the identical nucleons occupying the same single particle states where they preferred to form pairs for the ground states. We call…

Nuclear Theory · Physics 2008-10-08 S. Haq , Y. Sadeq , I. M. Hamammu

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

Background: Idealised systems are commonly used in nuclear physics and condensed matter. For instance, the construction of nuclear energy density functionals involves properties of infinite matter, while neutron drops are used to test…

Nuclear Theory · Physics 2021-01-08 A. W. Bray , C. Simenel

We study the phase diagram of a two component Fermi system with a weak attractive interaction. Our analysis includes the leading order Hartree energy shifts and pairing correlations at finite temperature and chemical potential difference…

Superconductivity · Physics 2009-01-06 Rishi Sharma , Sanjay Reddy

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

We consider pairing in a three-component gas of degenerate fermions. In particular, we solve the finite temperature mean-field theory of an interacting gas for a system where both interaction strengths and fermion masses can be unequal. At…

Superconductivity · Physics 2009-11-11 T. Paananen , J. -P. Martikainen , P. Torma

It has become increasingly feasible to use quantum Monte Carlo (QMC) methods to study correlated fermion systems for realistic Hamiltonians. We give a summary of these techniques targeted at researchers in the field of correlated electrons,…

Strongly Correlated Electrons · Physics 2016-08-24 Lucas K. Wagner , David M. Ceperley

The transition from a few-body system to a many-body system can result in new length scales, novel collective phenomena or even in a phase transition. Such a threshold behavior was shown for example in 4He droplets, where 4He turns into a…

The pair correlations in mesoscopic systems such as $nm$-size superconducting clusters and nuclei are studied at finite temperature for the canonical ensemble of fermions in model spaces with a fixed particle number: i) a degenerate…

Atomic and Molecular Clusters · Physics 2009-11-10 S. Frauendorf , N. K. Kuzmenko , V. M. Mikhajlov , J. Sheikh

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 present a novel quantum Monte Carlo method based on a path integral in Fock space, which allows to compute finite-temperature properties of a many-body nuclear system with a monopole pairing interaction in the canonical ensemble. It…

Nuclear Theory · Physics 2009-01-23 N. J. Cerf

Pairing in a population imbalanced Fermi system in a two-dimensional optical lattice is studied using Determinant Quantum Monte Carlo (DQMC) simulations and mean-field calculations. The approximation-free numerical results show a wide range…

Quantum Gases · Physics 2015-06-05 M. J. Wolak , B. Grémaud , R. T. Scalettar , G. G. Batrouni

We have systematically studied the thermodynamic properties of a two-dimensional half-filled SU(2N) Hubbard model on a square lattice by using the determinant quantum Monte Carlo method. The entropy-temperature relation, the isoentropy…

Quantum Gases · Physics 2015-02-02 Zhichao Zhou , Zi Cai , Congjun Wu , Yu Wang

Spatial and momentum correlations are important in the analysis of the quantum states and different phases of trapped ultracold atom systems as a function of the strength of interatomic interactions. Identification and understanding of…

Quantum Gases · Physics 2017-12-08 Benedikt B. Brandt , Constantine Yannouleas , Uzi Landman

Using the Moshinsky model, we analyze the spatial correlation and the entanglement of the ground state across different bipartitions of a system composed by $N$ pairs of harmonically confined fermions of two different interacting species.…

Quantum Physics · Physics 2025-05-27 M. D. Jiménez , W. J. Díaz , E. Cuestas , A. Valdés-Hernández , A. P. Majtey

We study many-body localization (MBL) for interacting one-dimensional lattice fermions in random (Anderson) and quasiperiodic (Aubry-Andre) models, focusing on the role of interaction range. We obtain the MBL quantum phase diagrams by…

Disordered Systems and Neural Networks · Physics 2022-04-08 DinhDuy Vu , Ke Huang , Xiao Li , S. Das Sarma

Few-body physics has played a prominent role in atomic, molecular and nuclear physics since the early days of quantum mechanics. It is now possible---thanks to tremendous progress in cooling, trapping, and manipulating ultracold…

Quantum Gases · Physics 2015-06-03 D. Blume

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