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While the zero-temperature properties of harmonically trapped cold few-atom systems have been discussed fairly extensively over the past decade, much less is known about the finite-temperature properties. Working in the canonical ensemble,…

Quantum Gases · Physics 2015-06-22 Yangqian Yan , D. Blume

We develop an all-electron path integral Monte Carlo (PIMC) method with free-particle nodes for warm dense matter and apply it to water and carbon plasmas. We thereby extend PIMC studies beyond hydrogen and helium to elements with core…

Materials Science · Physics 2012-03-22 Kevin Driver , Burkhard Militzer

We present a quantum Monte Carlo method which allows calculations on many-fermion systems at finite temperatures without any sign decay. This enables simulations of the grand-canonical ensemble at large system sizes and low temperatures.…

Condensed Matter · Physics 2009-10-31 Shiwei Zhang

We investigate the strongly interacting hard-core anyon gases in a one dimensional harmonic potential at finite temperature by extending thermal Bose-Fermi mapping method to thermal anyon-ferimon mapping method. With thermal anyon-fermion…

Quantum Gases · Physics 2017-06-28 Yajiang Hao , Yafei Song

The two-dimensional one-component plasma at the special coupling \beta = 2 is known to be exactly solvable, for its free energy and all of its correlations, on a variety of surfaces and with various boundary conditions. Here we study this…

Mathematical Physics · Physics 2016-11-25 Jonit Fischmann , Peter J. Forrester

The Fermi gas at unitarity is a particularly interesting system of cold atoms, being dilute and strongly interacting at the same time. It can be studied non-perturbatively with Monte Carlo methods, like the recently developed worm…

Quantum Gases · Physics 2010-11-05 Olga Goulko , Matthew Wingate

Single-component ultracold atomic Fermi gases are usually described using noninteracting many-fermion models. However, recent experiments reached a regime where $p$-wave interactions among identical fermionic atoms are important. In this…

Quantum Gases · Physics 2023-05-09 Gianluca Bertaina , Marco G. Tarallo , Sebastiano Pilati

Atom-ion hybrid systems are promising platforms for the quantum simulation of polaron physics in certain quantum materials. Here, we investigate the ionic Fermi polaron, a charged impurity in a polarized Fermi bath, at zero temperature…

Quantum Gases · Physics 2024-12-04 Renato Pessoa , S. A Vitiello , L. A Peña Ardila

The emergence of local phases in a trapped two-component Fermi gas in an optical lattice is studied using quantum Monte Carlo simulations. We treat temperatures that are comparable or lower than those presently achievable in experiments and…

Quantum Gases · Physics 2015-03-14 Simone Chiesa , Christopher N. Varney , Marcos Rigol , Richard T. Scalettar

A statistical approach to the description of the thermodynamic properties of the Fermi particle system occupying a half-space over a plane of finite size in a uniform external field is proposed. The number of particles per unit area is…

Statistical Mechanics · Physics 2025-06-17 Yu. M. Poluektov , A. A. Soroka

We study the system of a dilute gas of fermions in 3-dimensions, with attractive interactions tuned to the unitarity point, using the non-perturbative Restricted Path Integral Monte Carlo (R-PIMC) method. The pairing and superfluid…

Statistical Mechanics · Physics 2009-11-11 Vamsi K. Akkineni , D. M. Ceperley , Nandini Trivedi

Recently a number of theoretical studies of the uniform electron gas (UEG) at finite temperature have appeared that are of relevance for dense plasmas, warm dense matter and laser excited solids and thermodynamic density functional theory…

Quantum Gases · Physics 2015-03-06 T. Schoof , S. Groth , M. Bonitz

We investigate the energy per particle, static structure factor, and momentum distribution of the uniform electron gas for different conditions defined by the dimensionless temperature $\Theta = 0.25 - 1.0$ and average interparticle…

Materials Science · Physics 2025-06-13 Tommaso Morresi , Giovanni Garberoglio , Hongwei Xiong , Yunuo Xiong

We report the quantum phase diagram of a one-dimensional Coulomb wire obtained using the path integral Monte Carlo (PIMC) method. The exact knowledge of the nodal points of this system permits us to find the energy in an exact way, solving…

Quantum Gases · Physics 2016-01-20 G. Ferre , G. E. Astrakharchik , J. Boronat

We investigate the properties of impenetrable bosons confined in a one-dimensional lattice at finite temperature in the presence of an additional incommensurate periodic potential. Relying on the exact Fermi-Bose mapping, we study the…

Quantum Gases · Physics 2011-12-14 Nicolas Nessi , Aníbal Iucci

We have used the Monte Carlo (MC) simulation method with Metropolis algorithm to study the finite temperature phase transition properties of a binary alloy spherical nanoparticle with radius $r$ of the type $A_{p}B_{1-p}$. The system…

Statistical Mechanics · Physics 2017-03-08 Z. D. Vatansever , E. Vatansever

The Quantum Monte Carlo method for spin 1/2 fermions at finite temperature is formulated for dilute systems with an s-wave interaction. The motivation and the formalism are discussed along with descriptions of the algorithm and various…

Statistical Mechanics · Physics 2009-02-05 Aurel Bulgac , Joaquin E. Drut , Piotr Magierski

Quantum Monte Carlo techniques are employed to study the properties of polarons in an ultracold Fermi gas, at $T= 0,$ and in the unitary regime using both a zero-range model and a square-well potential. For a fixed density, the potential…

Quantum Gases · Physics 2021-10-26 Renato Pessoa , S. A. Vitiello , L. A. Peña Ardila

Intrinsic discrete nature in thermodynamic properties of Fermi gases appears under strongly confined and degenerate conditions. For a rectangular confinement domain, thermodynamic properties of an ideal Fermi gas are expressed in their…

Quantum Gases · Physics 2016-02-24 Alhun Aydin , Altug Sisman

We study the thermodynamical properties of Fermi vapors confined in a harmonic external potential. In the case of the ideal Fermi gas, we compare exact density profiles with their semiclassical approximation in the conditions of recent…

Statistical Mechanics · Physics 2009-10-31 L. Salasnich , B. Pozzi , A. Parola , L. Reatto