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Using continuous-space quantum Monte Carlo methods we investigate the zero-temperature ferromagnetic behavior of a two-component repulsive Fermi gas under the influence of periodic potentials that describe the effect of a simple-cubic…

Quantum Gases · Physics 2015-06-16 S. Pilati , I. Zintchenko , M. Troyer

We compute from first principles the dispersion relation $\omega(k)$ of a dipolar Bose gas of erbium atoms close to the roton instability by employing the Complex Langevin (CL) algorithm. Other than the path integral Monte Carlo algorithm,…

Quantum Gases · Physics 2025-04-29 Philipp Heinen , Wyatt Kirkby , Lauriane Chomaz , Thomas Gasenzer

Using complex Langevin method we probe the possibility of dynamical supersymmetry breaking in supersymmetric quantum mechanics models with complex actions. The models we consider are invariant under the combined operation of parity and time…

High Energy Physics - Lattice · Physics 2021-11-10 Anosh Joseph , Arpith Kumar

The dynamics of a single impurity in an environment is a fundamental problem in many-body physics. In the solid state, a well-known case is an impurity coupled to a bosonic bath, for example lattice vibrations. Here the impurity together…

Based on the recently developed interaction renormalization for the one-dimensional $p$-wave interaction, we study the problem of a single impurity immersed in a highly polarized Fermi sea. They interact through a narrow $p$-wave Feshbach…

Quantum Gases · Physics 2020-07-14 Yinfeng Ma , Xiaoling Cui

We study a two-dimensional Fermi gas with an attractive interaction subjected to synthetic magnetic fields, which are assumed to be mutually antiparallel for two different spin components with population imbalance. By employing the…

Quantum Gases · Physics 2019-10-28 Takaaki Anzai , Yusuke Nishida

Lattice field theory is a useful tool for studying strongly interacting theories in condensed matter physics. A prominent example is the unitary Fermi gas: a two-component system of fermions interacting with divergent scattering length.…

Quantum Gases · Physics 2011-03-23 Olga Goulko , Matthew Wingate

Ultracold atomic Fermi gases have been a popular topic of research, with attention being paid recently to two-dimensional (2D) gases. In this work, we perform T=0 ab initio diffusion Monte Carlo calculations for a strongly interacting…

Quantum Gases · Physics 2016-02-02 Alexander Galea , Hillary Dawkins , Stefano Gandolfi , Alexandros Gezerlis

It is demonstrated that the complex Langevin method can simulate chiral random matrix theory at non-zero chemical potential. The successful match with the analytic prediction for the chiral condensate is established through a shift of…

High Energy Physics - Lattice · Physics 2015-03-05 A. Mollgaard , K. Splittorff

These lecture notes give a brief introduction to the so-called Fermi-polaron problem, which explores the behaviour of a mobile impurity introduced into an ideal Fermi gas. While this problem has been considered now for more than a decade in…

Quantum Gases · Physics 2026-01-30 Meera M. Parish , Jesper Levinsen

In this paper we continue to pursue a goal of finding an effective theory for high energy interaction in QCD based on the colour dipole approach, for which the BFKL Pomeron Calculus gives a low energy limit. The key problem, that we try to…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Kozlov , E. Levin , A. Prygarin

We study a problem of an infinitely heavy impurity introduced into a polarized Fermi gas, which can be solved exactly with the help of Fumi's theorem. We consider the regime of finite-range fermion-impurity interactions beyond the standard…

Quantum Gases · Physics 2025-08-28 Nikolay Yegovtsev

We construct the simplest density functional for the problem of a single impurity interacting with a Fermi gas via a long--ranged potential using the Thomas--Fermi approach. We find that the Fermi polaron is fully bosonized in two…

Quantum Gases · Physics 2023-10-09 Krzysztof Myśliwy , Krzysztof Jachymski

We discuss a recent bosonization method developed to study clean Fermi gases with a repulsion in any dimensions. The method enables one to consider both density and spin excitations. It is demonstrated that due to a non-abelian structure of…

Strongly Correlated Electrons · Physics 2009-11-11 K. B. Efetov , I. L. Aleiner

We provide a comprehensive solution to the lattice dynamics problem in the two dimensional Holstein model at finite electron density and finite temperature. We work in the physically relevant adiabatic regime and vary the electron-phonon…

Strongly Correlated Electrons · Physics 2020-02-12 Sauri Bhattacharyya , Saurabh Pradhan , Pinaki Majumdar

This study develops a novel experimental method of deducing the profile of interaction induced between impurities in a trapped gas of ultracold Fermi/Bose atoms, which are often referred to as Fermi/Bose polarons. In this method, we…

Quantum Gases · Physics 2021-05-05 Junichi Takahashi , Hiroyuki Tajima , Eiji Nakano , Kei Iida

We employ the Complex Langevin method for simulation of complex-valued actions. First, we show how to test for convergence of the method by explicitely computing boundary terms and demonstrate this in a model. Then we investigate the…

High Energy Physics - Lattice · Physics 2018-10-30 Manuel Scherzer , Erhard Seiler , Dénes Sexty , Ion-Olimpiu Stamatescu

We theoretically investigate the polaron physics of an impurity immersed in a two-dimensional Fermi sea, interacting via a p-wave interaction at finite temperature. In the unitary limit with a divergent scattering area, we find a…

Quantum Gases · Physics 2023-11-20 Hui Hu , Jia Wang , Xia-Ji Liu

We present our results obtained from gauge cooled complex Langevin simulations in 1+1d QCD at non-zero densities in the strong coupling regime with unrooted staggered fermions. For small quark masses there are regions of the chemical…

High Energy Physics - Lattice · Physics 2016-11-03 Sebastian Schmalzbauer , Jacques Bloch

In recent years Quantum Monte Carlo techniques provided to be a valuable tool to study strongly interacting Fermi gases at zero temperature. We have used QMC methods to investigate several properties of the two-components Fermi gas at…

Quantum Gases · Physics 2015-06-18 Stefano Gandolfi
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