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Building on previous developments, we show that the Diagrammatic Monte Carlo technique allows to compute finite temperature response functions directly on the real-frequency axis within any field-theoretical formulation of the interacting…

Strongly Correlated Electrons · Physics 2021-07-19 I. S. Tupitsyn , A. M. Tsvelik , R. M. Konik , N. V. Prokof'ev

A finite-time fluctuation theorem for the diffusion-influenced surface reaction A <=> B is investigated for spherical and Janus catalytic particles. The finite-time rates and thermodynamic force are analytically calculated by solving…

Statistical Mechanics · Physics 2018-12-24 Pierre Gaspard , Patrick Grosfils , Mu-Jie Huang , Raymond Kapral

We calculate the equation of state of a Fermi gas with resonant interactions when the effective range is appreciable. Using an effective field theory for large scattering length and large effective range, we show how calculations in this…

Nuclear Theory · Physics 2009-11-11 A. Schwenk , C. J. Pethick

We consider a tagged particle in mean field interaction with a free gas of density N at equilibrium. In dimensions $d\geq4$, we prove the convergence of its trajectory, as N goes to infinity, to the one of a diffusion process associated…

Probability · Mathematics 2026-02-20 Thierry Bodineau , Pierre Le Bris

We consider two particles interacting via a contact interaction that are constrained to a sphere, or $S^2$. We determine their spectrum to arbitrary precision and for arbitrary angular momentum. We show how the non-inertial frame leads to…

Mathematical Physics · Physics 2022-12-14 Dominic Schuh , Thomas Luu

The calculation of dynamic response functions is expected to be an early application benefiting from rapidly developing quantum hardware resources. The ability to calculate real-time quantities of strongly-correlated quantum systems is one…

Understanding quantum many-body systems with long-range or infinite-range interactions is of relevance across a broad set of physical disciplines, including quantum optics, nuclear magnetic resonance and nuclear physics. From a theoretical…

Statistical Mechanics · Physics 2024-03-27 Federico Carollo , Igor Lesanovsky

The range corrections to the universal properties and structure of two-neutron halo nuclei are investigated within an effective quantum mechanics framework. Treating the nucleus as an effective three-body system, we make a systematic…

Nuclear Theory · Physics 2015-05-14 David L. Canham , H. -W. Hammer

I review the application of self-consistent Green's functions methods to study the properties of infinite nuclear systems. Improvements over the last decade, including the consistent treatment of three-nucleon forces and the development of…

Nuclear Theory · Physics 2020-06-19 A. Rios

We establish the existence of solutions to a class of non-linear stochastic differential equation of reaction-diffusion type in an infinite-dimensional space, with diffusion corresponding to a given transition kernel. The solution obtained…

Probability · Mathematics 2021-08-10 Conrado da Costa , Bernardo Freitas Paulo da Costa , Daniel Valesin

We propose a new practical method for evaluating the critical coupling constant in one-dimensional long-range interacting systems. We assume a finite-range scaling and define its exponent for the logarithm of the susceptibility. We find…

Statistical Mechanics · Physics 2015-05-14 Ken-Ichi Aoki , Tamao Kobayashi , Hiroshi Tomita

Relativistic effects are investigated in nuclear matter calculations employing renormalized low-momentum nucleon-nucleon ($NN$) interactions. It is demonstrated that the relativistic effects cure a problem of non-relativistic low-momentum…

Nuclear Theory · Physics 2009-11-06 E. N. E. van Dalen , H. Müther

A method for integrating the chemical equations associated with nuclear combustion at high temperature is presented and extensively checked. Following the idea of E. M\"uller, the feedback between nuclear rates and temperature was taken…

Astrophysics · Physics 2007-05-23 Ruben M. Cabezon Gomez , Domingo Garcia-Senz , Eduardo Bravo

We develop the parquet-diagram summation method for neutron matter interacting via potentials that include spin, tensor, and spin-orbit components. For that purpose, we derive an exact expression for the sum of all ring-diagrams in terms…

Nuclear Theory · Physics 2022-04-13 E. Krotscheck , J. Wang

We propose a collision-oriented particle system to approximate a class of Landau-type equations. This particle system is formally derived from a particle system with random collisions in the grazing regime, and happens to be a special…

Probability · Mathematics 2024-08-30 Kai Du , Lei Li

In this work we test the validity of a Hartree-Fock plus Bardeen-Cooper-Schrieffer model in which a finite-range interaction is used in the two steps of the calculation by comparing the results obtained to those found in a fully…

Nuclear Theory · Physics 2015-06-18 M. Anguiano , A. M. Lallena , G. Co' , V. De Donno

Effective field theory is applied to finite-density systems with an unnaturally large scattering length, such as neutron matter. A new organizational scheme is identified and connected with an expansion in inverse powers of the number of…

Nuclear Theory · Physics 2007-05-23 James V. Steele

We derive relations between various observables for N particles with zero-range or short-range interactions, in continuous space or on a lattice, in two or three dimensions, in an arbitrary external potential. Some of our results generalise…

Quantum Gases · Physics 2018-12-26 Felix Werner , Yvan Castin

The Extended Theory of Finite Fermi Systems(ETFFS) describes nuclear excitations considering phonons and pairing degrees of freedom, using experimental single particle energies and the effective Landau-Migdal interaction. Here we use the…

Nuclear Theory · Physics 2010-11-04 A. Avdeenkov , F. Gruemmer , S. Kamerdzhiev , S. Krewald , N. Lyutorovich , J. Speth

We employ Landau's theory of normal Fermi liquids to study the quasiparticle interaction in nuclear matter in the vicinity of saturation density. Realistic low-momentum nucleon-nucleon interactions evolved from the Idaho N3LO chiral…

Nuclear Theory · Physics 2015-05-28 J. W. Holt , N. Kaiser , W. Weise