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We study the single-particle spectral function of resonantly-interacting fermions in the unitary regime, as described by the three-dimensional attractive Hubbard model in the dilute limit. Our approach, based on the Dynamical Cluster…

Quantum Gases · Physics 2013-05-29 Shi-Quan Su , Daniel E. Sheehy , Juana Moreno , Mark Jarrell

The probability amplitude for $N$ particles in a quantum gas with negligible range of interparticle interaction potentials to come to a small region of size $r$ scales like $r^\gamma$. It is shown that $\gamma$ is quantitatively related to…

Statistical Mechanics · Physics 2007-05-23 Shina Tan

Fermi surface reconstruction in cuprates can lead to an abrupt change in the Fermi momentum $k_F$ between different phases. This phenomenon remains subject of debate and is at the heart of an ongoing discussion about the nature of the…

Strongly Correlated Electrons · Physics 2024-06-27 Annika Böhler , Henning Schlömer , Ulrich Schollwöck , Annabelle Bohrdt , Fabian Grusdt

In a compressed Nuclear Matter (NM) an increasing pressure between the nucleons starts to increase the ratio of a nucleon Fermi to average single particle energy and in accordance with the Hugenholtz-van Hove theorem the longitudinal…

Nuclear Theory · Physics 2014-05-06 J. Rozynek

Dynamical mean-field approximation with explicit pairing is utilized to study the properties of a two-component Fermi gas at unitarity. The problem is approximated by the lattice Hubbard Hamiltonian, and the continuum limit is realized by…

Statistical Mechanics · Physics 2009-11-13 Nir Barnea

The equations of state for symmetric nuclear matter and pure neutron matter are investigated with the tensor-optimized Fermi Sphere method (TOFS) up to the density $\rho=0.5$~fm$^{-3}$. This method is based on a linked-cluster expansion…

Nuclear Theory · Physics 2024-03-19 Taiichi Yamada

We construct the equation of state (EOS) in a wide density range for neutron stars using the relativistic mean field theory. The properties of neutron star matter with both uniform and non-uniform distributions are studied consistently. The…

Nuclear Theory · Physics 2009-11-07 H. Shen

An accurate description of low-density nuclear matter is crucial for explaining the physics of neutron star crusts. In the density range between approximately 0.01 fm$^{-3}$ and 0.1 fm$^{-3}$, matter transitions from neutron-rich nuclei to…

Nuclear Theory · Physics 2024-08-01 Bryce Fore , Jane Kim , Morten Hjorth-Jensen , Alessandro Lovato

The unitarity regime of the BCS-BEC crossover can be realized by diluting a system of two-component lattice fermions with an on-site attractive interaction. We perform a systematic-error-free finite-temperature simulations of this system by…

Statistical Mechanics · Physics 2007-05-23 Evgeni Burovski , Nikolay Prokof'ev , Boris Svistunov , Matthias Troyer

A calculation of neutrino decoupling in the early Universe, including full Fermi-Dirac statistics and electron mass dependence in the weak reaction rates, is presented. We find that after decoupling, the electron neutrinos contribute 0.83\%…

Astrophysics · Physics 2010-01-15 Steen Hannestad , Jes Madsen

We carry out non-perturbative calculations of the single-particle excitation spectrum in strongly interacting neutron matter. These are microscopic quantum Monte Carlo computations of many-neutron energies at different densities as well as…

Nuclear Theory · Physics 2019-09-24 Mateusz Buraczynski , Nawar Ismail , Alexandros Gezerlis

We review recent results obtained for charge asymmetric systems at Fermi and intermediate energies, ranging from 30 MeV/u to 1 GeV/u. Observables sensitive to the isospin dependent part of nuclear interaction are discussed, providing…

Nuclear Theory · Physics 2010-04-23 M. Colonna , V. Baran , M. Di Toro , V. Giordano

Using $\epsilon$ expansion proposed in \cite{Nishida:2006br} we calculate density correlation function of the degenerate Fermi gas at infinite scattering length to next-to-leading order in $\epsilon$ for excitation energies below quasi…

Nuclear Theory · Physics 2013-05-29 Andrei Kryjevski

We present variational Monte Carlo calculations of the neutron matter equation of state using chiral nuclear forces. The ground-state wavefunction of neutron matter, containing non-perturbative many-body correlations, is obtained from…

Nuclear Theory · Physics 2014-11-06 G. Wlazłowski , J. W. Holt , S. Moroz , A. Bulgac , K. J. Roche

We present finite-temperature, lattice Monte Carlo calculations of the particle number density, compressibility, pressure, and Tan's contact of an unpolarized system of short-range, attractively interacting spin-1/2 fermions in one spatial…

Quantum Gases · Physics 2015-03-18 M. D. Hoffman , P. D. Javernick , A. C. Loheac , W. J. Porter , E. R. Anderson , J. E. Drut

We calculate the off-diagonal density matrix of the homogeneous electron gas at zero temperature using unbiased Reptation Monte Carlo for various densities and extrapolate the momentum distribution, and the kinetic and potential energies to…

Strongly Correlated Electrons · Physics 2016-03-15 Markus Holzmann , Bernard Bernu , Carlo Pierleoni , Jeremy McMinis , David M. Ceperley , Valerio Olevano , Luigi Delle Site

We study the non-uniform nuclear matter using the self-consistent Thomas--Fermi approximation with a relativistic mean-field model. The non-uniform matter is assumed to be composed of a lattice of heavy nuclei surrounded by dripped…

Nuclear Theory · Physics 2014-06-11 Z. W. Zhang , H. Shen

We discuss the Auxiliary Field Quantum Monte Carlo (AFQMC) method applied to dilute neutron matter at finite temperatures. We formulate the discrete Hubbard-Stratonovich transformation for the interaction with finite effective range which…

Nuclear Theory · Physics 2009-05-29 G. Wlazlowski , P. Magierski

We summarize recent results regarding the equilibrium and non-equilibrium behavior of cold dilute atomic gases in the limit in which the two body scattering length a goes to infinity. In this limit the system is described by a Galilean…

Nuclear Theory · Physics 2017-08-23 Thomas Schaefer

We study the dynamics of a heavy particle of mass $M$ moving in a one-dimensional repulsively interacting Fermi gas. The Fermi gas is described using the Luttinger model and bosonization. By transforming to a frame co-moving with the heavy…

Condensed Matter · Physics 2009-10-28 A. H. Castro Neto , Matthew P. A. Fisher
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