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An extremely polarized mixture of an ultracold Fermi gas is expected to reduce to a Fermi polaron system, which consists of a single impurity immersed in the Fermi sea of majority atoms. By developing a many-body T -matrix theory, we…

Quantum Gases · Physics 2018-07-10 Hiroyuki Tajima , Shun Uchino

We study the energy of an impurity (polaron) that interacts strongly in a sea of fermions when the effective range of the impurity-fermion interaction becomes important, thereby mapping the Fermi polaron of condensed matter physics and…

Nuclear Theory · Physics 2014-04-14 M. M. Forbes , A. Gezerlis , K. Hebeler , T. Lesinski , A. Schwenk

We present a theory of radio-frequency spectroscopy of impurities interacting with a quantum gas at finite temperature. By working in the canonical ensemble of a single impurity, we show that the impurity spectral response is directly…

Quantum Gases · Physics 2020-08-12 Weizhe Edward Liu , Zhe-Yu Shi , Meera M. Parish , Jesper Levinsen

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

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 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

In this review, we discuss the properties of a few impurity atoms immersed in a gas of ultracold fermions, the so-called Fermi polaron problem. On one side, this many-body system is appealing because it can be described almost exactly with…

Quantum Gases · Physics 2014-02-26 Pietro Massignan , Matteo Zaccanti , Georg M. Bruun

We study the repulsive Fermi polaron in a two-component, two-dimensional system of fermionic atoms inspired by the results of a recent experiment with $^{173}$Yb atoms [N. Darkwah Oppong \textit{et al.}, Phys. Rev. Lett. \textbf{122},…

Quantum Gases · Physics 2021-04-14 Raúl Bombín , Viktor Cikojević , Juan Sánchez-Baena , Jordi Boronat

Impurities in a Fermi sea, or Fermi polarons, experience a Casimir interaction induced by quantum fluctuations of the medium. When there is short-range attraction between impurities and fermions, also the induced interaction between two…

Recent experiments on imbalanced Fermi gases have raised interest in the physics of an impurity immersed in a Fermi sea, the so-called Fermi polaron. In this letter, a simple theory is devised to describe dilute Fermi-polaron ensembles…

Quantum Gases · Physics 2010-06-15 Christophe Mora , Frédéric Chevy

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

We study in three dimensions the problem of a spatially homogeneous zero-temperature ideal Fermi gas of spin-polarized particles of mass $m$ perturbed by the presence of a single distinguishable impurity of mass $M$. The interaction between…

Quantum Gases · Physics 2015-06-19 Christian Trefzger , Yvan Castin

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 provide an analytically tractable toy model of an infinitely heavy impurity interacting with the spin-polarized gas of bath fermions via a contact potential in 1D and placed in a harmonic trap. The solution to this problem requires…

Quantum Gases · Physics 2025-09-03 Nikolay Yegovtsev

We analyze when a repulsively interacting two-component Fermi gas becomes thermodynamically unstable against phase separation. We focus on the strongly polarised limit where the free energy of the homogeneous mixture can be calculated…

Quantum Gases · Physics 2013-06-13 Pietro Massignan , Zhenhua Yu , Georg M. Bruun

We study an impurity atom in a two-dimensional Fermi gas using variational wave functions for (i) an impurity dressed by particle-hole excitations (polaron) and (ii) a dimer consisting of the impurity and a majority atom. In contrast to…

Quantum Gases · Physics 2011-02-22 Sascha Zöllner , G. M. Bruun , C. J. Pethick

We consider an impurity problem in a quasi-two-dimensional Fermi gas, where a spin-down impurity is immersed in a Fermi sea of N spin-up atoms. Using a variational approach and an effective two-channel model, we obtain the energies of the…

Atomic Physics · Physics 2022-08-17 Yue-Ran Shi , Jin-Ge Chen , Kuiyi Gao , Wei Zhang

We study the Fermi polaron problem with dipolar fermions in a bilayer geometry, where a single dipolar particle in one layer interacts with a Fermi sea of dipolar fermions in the other layer. By evaluating the polaron spectrum, we obtain…

Quantum Gases · Physics 2024-10-03 A. Tiene , A. Tamargo Bracho , M. M. Parish , J. Levinsen , F. M. Marchetti

We investigate the properties of a strongly interacting imbalanced mixture of bosonic $^{41}$K impurities immersed in a Fermi sea of ultracold $^6$Li atoms. This enables us to explore the Fermi polaron scenario for large impurity…

We study the quantum dynamics of a homogeneous ideal Fermi gas coupled to an impurity particle on a three-dimensional box with periodic boundary condition. For large Fermi momentum $k_\text{F}$, we prove that the effective dynamics is…

Mathematical Physics · Physics 2025-01-15 Duc Viet Hoang , Peter Pickl
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