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We investigate the ground-state properties of ultracold two-component Fermi gases in the presence of a transverse harmonic potential, focusing on the strongly interacting regime in which pairs of fermions form tightly bound molecules. Using…

Quantum Gases · Physics 2025-12-11 Giovanni Midei , Jordi Boronat , Grigory E. Astrakharchik

A generalized Fermi-Bose mapping method is used to determine the exact ground states of several models of mixtures of strongly interacting ultracold gases in tight waveguides, which are generalizations of the Tonks-Girardeau (TG) gas (1D…

Other Condensed Matter · Physics 2009-11-13 M. D. Girardeau , A. Minguzzi

We present a novel analytical approach for the calculation of the mean density of states in many-body systems made of confined indistinguishable and non-interacting particles. Our method makes explicit the intrinsic geometry inherent in the…

Quantum Physics · Physics 2013-12-18 Quirin Hummel , Juan Diego Urbina , Klaus Richter

Mean-field molecular dynamics based on path integrals is used to approximate canonical quantum observables for particle systems consisting of nuclei and electrons. A computational bottleneck is the sampling from the Gibbs density of the…

Numerical Analysis · Mathematics 2023-11-30 Xin Huang , Petr Plechac , Mattias Sandberg , Anders Szepessy

We present an exact ansatz for the eigenstate problem of mixed fermion-boson systems that can be implemented on quantum devices. Based on a generalization of the electronic contracted Schr\"odinger equation (CSE), our approach guides a…

Quantum Physics · Physics 2024-08-26 Samuel Warren , Yuchen Wang , Carlos L. Benavides-Riveros , David A. Mazziotti

We present a method using Feynman-like diagrams to calculate the statistical properties of random many-body potentials. This method provides a promising alternative to existing techniques typically applied to this class of problems, such as…

Other Condensed Matter · Physics 2015-06-23 Rupert Small , Sebastian Müller

We study the ground-state properties of a two-component fermionic mixture effectively confined in a one-dimensional harmonic trap. We consider scenarios when numbers of particles in components are the same but particles have different…

Quantum Gases · Physics 2020-03-10 Patrycja Łydżba , Tomasz Sowiński

We study ground-state properties of interacting two-component boson gases in a one-dimensional harmonic trap by using the exact numerical diagonalization method. Based on numerical solutions of many-body Hamiltonians, we calculate the…

Strongly Correlated Electrons · Physics 2009-02-09 Yajiang Hao , Shu Chen

Being motivated by the surge of fermionic quantum Monte Carlo simulations at finite temperature, we present a detailed analysis of the permutation-cycle properties of path integral Monte Carlo (PIMC) simulations of degenerate electrons.…

Computational Physics · Physics 2019-07-24 Tobias Dornheim , Simon Groth , Alexei Filinov , Michael Bonitz

Microscopically probing quantum many-body systems by resolving their constituent particles is essential for understanding quantum matter. In most physical systems, distinguishing individual particles, such as electrons in solids, or…

The \emph{ab initio} path integral Monte Carlo (PIMC) method is one of the most successful methods in statistical physics, quantum chemistry and related fields, but its application to quantum degenerate Fermi systems is severely hampered by…

Computational Physics · Physics 2023-08-14 Tobias Dornheim , Panagiotis Tolias , Simon Groth , Zhandos Moldabekov , Jan Vorberger , Barak Hirshberg

We consider energetics and structural properties of a many particle system in one dimension with pairwise contact interactions confined in a parabolic external potential. To render the problem analytically solvable, we use the harmonic…

Quantum Gases · Physics 2012-12-20 J. R. Armstrong , N. T. Zinner , D. V. Fedorov , A. S. Jensen

The uniform electron gas (UEG) at finite temperature is of high current interest due to its key relevance for many applications including dense plasmas and laser excited solids. In particular, density functional theory heavily relies on…

Strongly Correlated Electrons · Physics 2016-01-15 Tobias Dornheim , Tim Schoof , Simon Groth , Alexey Filinov , Michael Bonitz

We consider the quantum many-body evolution of a homogeneous Fermi gas in three dimensions in the coupled semiclassical and mean-field scaling regime. We study a class of initial data describing collective particle-hole pair excitations on…

Mathematical Physics · Physics 2022-07-07 Niels Benedikter , Phan Thành Nam , Marcello Porta , Benjamin Schlein , Robert Seiringer

In low-temperature high-density plasmas quantum effects of the electrons are becoming increasingly important. This requires the development of new theoretical and computational tools. Quantum Monte Carlo methods are among the most…

Statistical Mechanics · Physics 2014-08-12 T. Schoof , S. Groth , M. Bonitz

We study the quasi-one-dimensional (Q1D) spin-polarized bose-fermi mixture of atomic gases at zero temperature. Bosonic excitation spectra are calculated in random phase approximation on the ground state with the uniform BEC, and the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Takahiko Miyakawa , Hiroyuki Yabu , Toru Suzuki

In this work we show results for light nuclear systems and small clusters of helium atoms using the hyperspherical harmonics basis. We use the basis without previous symmetrization or antisymmetrization of the state. After the…

Atomic and Molecular Clusters · Physics 2015-06-05 M. Gattobigio , A. Kievsky , M. Viviani

We present extensive \textit{ab initio} path integral Monte Carlo (PIMC) simulations of two-dimensional quantum dipole systems in a harmonic confinement, taking into account both Bose- and Fermi-statistics. This allows us to study the…

Computational Physics · Physics 2020-08-12 Tobias Dornheim

The study of ground-state properties of the Fermi-Hubbard model is a long-lasting task in the research of strongly correlated systems. Owing to the exponentially growing complexity of the system, a quantitative analysis usually demands high…

Strongly Correlated Electrons · Physics 2023-08-15 Yue-Ran Shi , Yuan-Yao He , Ruijin Liu , Wei Zhang

We study numerically the finite temperature and frequency mobility of a particle coupled by a local interaction to a system of spinless fermions in one dimension. We find that when the model is integrable (particle mass equal to the mass of…

Condensed Matter · Physics 2009-10-28 H. Castella , X. Zotos