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We explore a new variational principle for studying one-dimensional quantum systems in a trapping potential. We focus on the Fermi polaron problem, where a single distinguishable impurity interacts through a contact potential with a…

Quantum Gases · Physics 2019-08-09 E. J. Lindgren , R. E. Barfknecht , N. T. Zinner

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 investigate the Fermi polaron problem in a spin-1/2 Fermi gas in an optical lattice for the limit of both strong repulsive contact interactions and one dimension. In this limit, a polaronic-like behaviour is not expected, and the physics…

Quantum Gases · Physics 2017-07-11 C. W. Duncan , F. F. Bellotti , P. Öhberg , N. T. Zinner , M. Valiente

We propose a numerically exact method for a mixture with a single impurity immersed in several majority fermions, confined in a harmonic potential. We separate one of the degrees of freedom through an appropriately tailored canonical…

Quantum Gases · Physics 2022-11-18 Damian Włodzyński

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 study the polaron problem of an impurity immersed in a dissipative spin-orbit coupled Fermi gas via a non-self-consistent T-matrix method. We first propose an experimental scheme to realize a spin-orbit coupled Fermi bath with…

Quantum Gases · Physics 2021-08-11 Jing Zhou , Wei Zhang

We study the ground state and excitations of a one-dimensional trapped polarized Fermi gas interacting with a single impurity. First, we study the tunnelling dynamics of the impurity through a potential barrier, such as one effectively…

Quantum Gases · Physics 2017-12-05 Marek Tylutki , G. E. Astrakharchik , Alessio Recati

We study an impurity in a one-dimensional potential consisting of a harmonic and a periodic part using both the time-evolving block decimation (TEBD) algorithm and a variational ansatz. Attractive and repulsive contact interactions with a…

Quantum Gases · Physics 2014-05-21 Elmer V. H. Doggen , Anna Korolyuk , Päivi Törmä , Jami J. Kinnunen

We consider the highly spin-imbalanced limit of a two-component Fermi gas, where there is a small density of $\downarrow$ impurities attractively interacting with a sea of $\uparrow$ fermions. In the single-impurity limit at zero…

Quantum Gases · Physics 2021-02-17 Meera M. Parish , Haydn S. Adlong , Weizhe E. Liu , Jesper Levinsen

We investigate numerically the problem of few (one, two) noninteracting spin$-1/2$ fermions in a shallow harmonic trap coupled via contact repulsive interactions to a uniform one-dimensional bath of lattice bosons, described by the…

Quantum Gases · Physics 2019-12-30 Michael Pasek , Giuliano Orso

We study the repulsive polaron problem in a two-component two-dimensional system of fermionic atoms. We use two different interaction models: a short-range (hard-disk) potential and a dipolar potential. In our approach, all the atoms have…

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 study the spectrum of an impurity coupled to a Fermi sea (e.g., minority atom in an ultracold gas, exciton in a solid) by attraction strong enough to form a molecule/trion. We introduce a diagrammatic scheme which allows treating a…

Strongly Correlated Electrons · Physics 2018-12-19 Dimitri Pimenov , Moshe Goldstein

We investigate the highly polarized limit of a two-dimensional (2D) Fermi gas, where we effectively have a single spin-down impurity atom immersed in a spin-up Fermi sea. By constructing variational wave functions for the impurity, we map…

Quantum Gases · Physics 2013-04-30 Meera M. Parish , Jesper Levinsen

We study a three-body system with zero-range interactions in a one-dimensional harmonic trap. The system consists of two spin-polarized fermions and a third particle which is distinct from two others (2+1 system). First we assume that the…

Quantum Gases · Physics 2015-03-11 N. J. S. Loft , A. S. Dehkharghani , N. P. Mehta , A. G. Volosniev , N. T. Zinner

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…

Using solutions of the discrete Bethe ansatz equations, we study in detail the quantum impurity problem of a spin-down fermion immersed into a fully ploarized spin-up Fermi sea with weak attraction. We prove that this impurity fermion in…

Quantum Gases · Physics 2012-02-15 Xi-Wen Guan

We analyze the properties of a single impurity immersed in a Fermi sea. At positive energy and scattering lengths, we show that the system possesses a well-defined but metastable excitation, the repulsive polaron, and we calculate its…

Quantum Gases · Physics 2011-11-28 P. Massignan , G. M. Bruun

We investigate a single impurity interacting with a free two-dimensional atomic Fermi gas. The interaction between the impurity and the gas is characterized by an arbitrary attractive short-range potential, which, in two dimensions, always…

Quantum Gases · Physics 2015-05-28 Michael Klawunn , Alessio Recati

Mobile impurities in cold atomic gases constitute a new platform for investigating polaron physics. Here we show that when impurity atoms interact with a two-dimensional Fermi gas with quadratic band touching the polaron picture may either…

Quantum Gases · Physics 2016-12-14 M. A. Caracanhas , R. G. Pereira
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