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Consider two identical atoms in a spherical harmonic oscillator interacting with a zero-range interaction which is tuned to produce an s-wave zero-energy bound state. The quantum spectrum of the system is known to be exactly solvable. We…

量子气体 · 物理学 2015-05-14 R. K. Bhaduri , M. V. N. Murthy , M. K. Srivastava

We study the zero-temperature phase diagram of the 2D spin-imbalanced Fermi gas with short-ranged attractive interactions using the recently developed neural network variational Monte Carlo method with the AGPs FermiNet Ansatz. The…

The zero-temperature and finite-temperature thermodynamics of two-component Fermi gases with finite-range attractive interaction suffer from fermion sign problem, which seems like an insurmountable problem in exact numerical simulations. In…

量子气体 · 物理学 2022-12-02 Yunuo Xiong , Hongwei Xiong

An ultracold Fermi gas with a zero-range attractive potential in the unitary limit is investigated using variational and diffusion Monte Carlo methods. Previous calculations have used a finite range interactions and extrapolate the results…

量子气体 · 物理学 2015-06-23 Renato Pessoa , S. A. Vitiello , K. E. Schmidt

The uniform electron gas (UEG) at finite temperature is of key relevance for many applications in dense plasmas, warm dense matter, laser excited solids and much more. Accurate thermodynamic data for the UEG are an essential ingredient for…

等离子体物理 · 物理学 2015-09-30 T. Schoof , S. Groth , J. Vorberger , M. Bonitz

We calculate the free energy of the quantum uniform electron gas for temperatures from near zero to 100 times the Fermi energy, approaching the classical limit. An extension of the Vashista-Singwi theory to finite temperatures and…

强关联电子 · 物理学 2015-06-16 Travis Sjostrom , James Dufty

Variational and diffusion quantum Monte Carlo (VMC and DMC) calculations of the properties of the zero-temperature fermionic gas at unitarity are reported. The ratio of the energy of the interacting to the non-interacting gas for a system…

量子气体 · 物理学 2010-03-26 Andrew J. Morris , P. Lopez Rios , R. J. Needs

We theoretically examine equilibrium properties of the harmonically trapped ideal Bose and Fermi gases in the quantum degeneracy regime. We analyze thermodynamic characteristics of gases with a finite number of atoms by means of the known…

量子气体 · 物理学 2021-12-06 Valeriia Bilokon , Elvira Bilokon , Alexander Peletminskii , Andrii Sotnikov

Precise understanding of strongly interacting fermions, from electrons in modern materials to nuclear matter, presents a major goal in modern physics. However, the theoretical description of interacting Fermi systems is usually plagued by…

We consider mass-imbalanced two-component Fermi gases for which the unequal-mass atoms interact via a zero-range model potential with a diverging s-wave scattering length $a_s$, i.e., with $1/a_s=0$. The high temperature thermodynamics of…

量子气体 · 物理学 2012-03-13 K. M. Daily , D. Blume

We consider a system of equations that model the temperature, electric potential and deformation of a thermoviscoelastic body. A typical application is a thermistor; an electrical component that can be used e.g. as a surge protector,…

数值分析 · 数学 2018-04-09 Axel Målqvist , Tony Stillfjord

Path integral Monte Carlo simulations are applied to study dense atomic hydrogen in the regime where the protons form a Wigner crystal. The interaction of the protons with the degenerate electron gas is modeled by Thomas-Fermi screening,…

材料科学 · 物理学 2009-11-11 Burkhard Militzer , Rebekah L. Graham

We simulate the dilute attractive Fermi-Hubbard model in the unitarity regime using a diagrammatic determinant Monte Carlo algorithm with worm-type updates. We obtain the dependence of the critical temperature on the filling factor $\nu$…

超导电性 · 物理学 2009-04-08 Evgeni Burovski , Nikolay Prokof'ev , Boris Svistunov , Matthias Troyer

A recent description of an exact map for the equilibrium structure and thermodynamics of a quantum system onto a corresponding classical system is summarized. Approximate implementations are constructed by pinning exact limits (ideal gas,…

统计力学 · 物理学 2015-04-14 Jeffrey Wrighton , James Dufty , Sandipan Dutta

Computer simulations of structure formation in network forming materials (such as amorphous semiconductors, glasses, or fluids containing hydrogen bonds) are challenging. The problem is that large structural changes in the network topology…

统计力学 · 物理学 2015-06-18 Richard Vink

In this work we consider a fermionic quantum gas within a Lorentz-Violating background at finite temperature. We derive the effective action within Path Integral formalism considering the interaction of external electromagnetic field and…

高能物理 - 理论 · 物理学 2024-01-29 Rafael L. J. Costa , Rodrigo F. Sobreiro

We combine ab initio path integral Monte Carlo (PIMC) simulations with fixed ion configurations from density functional theory molecular dynamics (DFT-MD) simulations to solve the electronic problem for hydrogen under warm dense matter…

等离子体物理 · 物理学 2023-02-01 Maximilian Böhme , Zhandos A. Moldabekov , Jan Vorberger , Tobias Dornheim

We have developed an efficient simulation algorithm for strongly interacting relativistic fermions in two-dimensional field theories based on a formulation as a loop gas. The loop models describing the dynamics of the fermions can be mapped…

高能物理 - 格点 · 物理学 2009-11-05 Urs Wenger

Achieving an accurate description of fermionic systems typically requires considerably many more orbitals than fermions. Previous resource analyses of quantum chemistry simulation often failed to exploit this low fermionic number…

量子物理 · 物理学 2022-05-24 Sam McArdle , Earl Campbell , Yuan Su

We consider a system of quantum degenerate spin polarized fermions in a harmonic trap at zero temperature, interacting via dipole-dipole forces. We introduce a variational Wigner function to describe the deformation and compression of the…

其他凝聚态物理 · 物理学 2009-11-13 Takahiko Miyakawa , Takaaki Sogo , Han Pu