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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

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 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

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 study the impurity problem in a Fermi gas of $^{173}$Yb atoms near an orbital Feshbach resonance, where a single moving particle in the $^3P_0$ state interacting with two background Fermi seas of particles in different nuclear states of…

Quantum Gases · Physics 2018-01-30 Jin-Ge Chen , Yue-Ran Shi , Xiang Zhang , Wei Zhang

Recently it has been proposed that three-component Fermi gases may exhibit a new type of crossover physics in which an unpaired Fermi sea of atoms smoothly evolves into that of trimers in addition to the ordinary BCS-BEC crossover of…

Quantum Gases · Physics 2015-03-27 Yusuke Nishida

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 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

An impurity atom immersed in an ultracold atomic Fermi gas can form a quasiparticle, so-called Fermi polaron, due to impurity-fermion interaction. We consider a three-dimensional homogeneous dipolar Fermi gas as a medium, where the…

We address the problem of a single "spin-down" impurity atom interacting attractively with a spin-up Fermi gas in two dimensions (2D). We consider the case where the mass of the impurity is greater than or equal to the mass of a spin-up…

Quantum Gases · Physics 2011-05-13 Meera M. Parish

We study the problem of a single impurity of mass $M$ immersed in a Fermi sea of particles of mass $m$. The impurity and the fermions interact through a s-wave narrow Feshbach resonance, so that the Feshbach length $R_*$ naturally appears…

Quantum Gases · Physics 2015-06-03 Christian Trefzger , Yvan Castin

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 consider the ground state of a single "spin-down" impurity atom interacting attractively with a "spin-up" atomic Fermi gas. By constructing variational wave functions for polarons, molecules and trimers, we perform a detailed study of…

Quantum Gases · Physics 2011-04-25 Charles J. M. Mathy , Meera M. Parish , David A. Huse

Understanding the behavior of an impurity strongly interacting with a Fermi sea is a long-standing challenge in many-body physics. When the interactions are short-ranged, two vastly different ground states exist: a polaron quasiparticle and…

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

In ultracold atomic gases, a unique interplay arises between phenomena known from condensed matter physics, few-body physics and chemistry. Similar to an electron in a solid, an impurity in an ultracold gas can get dressed by excitations…

Quantum Gases · Physics 2022-08-19 Arthur Christianen , J. Ignacio Cirac , Richard Schmidt

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 investigate the ground-state energy of a one-dimensional Fermi gas with two bosonic impurities. We consider spinless fermions with no fermion-fermion interactions. The fermion-impurity and impurity-impurity interactions are modelled with…

Quantum Gases · Physics 2019-12-18 D. Huber , H. -W. Hammer , A. G. Volosniev

Polarons have emerged as a powerful concept across many-fields in physics to study an impurity coupled to a quantum bath. The interplay between impurity physics and the formation of composite objects remains a relevant problem to understand…

Quantum Gases · Physics 2025-06-24 Luis A. Peña Ardila , Arturo Camacho-Guardian

Small weakly-bound droplets determine a number of properties of ultracold Bose and Fermi gases. For example, Efimov trimers near the atom-atom-atom and atom-dimer thresholds lead to enhanced losses from bosonic clouds. Generalizations to…

Quantum Gases · Physics 2019-01-14 D. Blume
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