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We study a highly imbalanced Fermi gas in a one-dimensional optical lattice from the polaronic point of view. The time-evolving block decimationg algorithm is used to calculate the ground state and dynamics of the system. We find…

Strong optical nonlinearities at the few-photon level are a central goal for quantum photonics, yet they remain difficult to realize in solid-state systems. In doped two-dimensional semiconductors, coupling between excitons and a degenerate…

Understanding the interplay between charge and spin and its effects on transport is a ubiquitous challenge in quantum many-body systems. In the Fermi-Hubbard model, this interplay is thought to give rise to magnetic polarons, whose dynamics…

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

Polarons are among the most fundamental quasiparticles emerging in interacting many-body systems, forming already at the level of a single mobile dopant. In the context of the two-dimensional Fermi-Hubbard model, such polarons are predicted…

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…

We consider an imbalanced mixture of two different ultracold Fermi gases, which are strongly interacting. Calling spin-down the minority component and spin-up the majority component, the limit of small relative density $x=n\ds /n\us$ is…

Quantum Gases · Physics 2012-01-05 S. Giraud , R. Combescot

We study the problem of a mobile impurity of mass $M$ interacting {\sl via} a s-wave broad or narrow Feshbach resonance with a Fermi sea of particles of mass $m$. Truncating the Hilbert space to at most one pair of particle-hole excitations…

Quantum Gases · Physics 2018-01-11 Christian Trefzger , Yvan Castin

The notion of a polaron, originally introduced in the context of electrons in ionic lattices, helps us to understand how a quantum impurity behaves when being immersed in and interacting with a many-body background. We discuss the impact of…

Quantum Gases · Physics 2021-04-16 Hiroyuki Tajima , Junichi Takahashi , Simeon I. Mistakidis , Eiji Nakano , Kei Iida

A strongly interacting plasma of linearly dispersing electron and hole excitations in two spatial dimensions (2D), also known as a Dirac fluid, can be captured by relativistic hydrodynamics and shares many universal features with other…

Strongly Correlated Electrons · Physics 2023-04-19 Yan-Qi Wang , Roman Rausch , Christoph Karrasch , Joel E. Moore

For the Mott insulator state of the Fermi-Hubbard model in the strong-coupling limit, we study the interaction between quasi-particles in the form of doublons and holons. Comparing different methods -- the hierarchy of correlations,…

Strongly Correlated Electrons · Physics 2023-11-08 Friedemann Queisser , Gernot Schaller , Ralf Schützhold

We consider the behavior of a small density of mobile impurities (polarons) immersed in a quantum gas, a generic scenario that can be realized in cold atomic gases, liquid helium mixtures, and doped semiconductors. We present a unified…

Quantum Gases · Physics 2026-05-18 Jesper Levinsen , Francesca Maria Marchetti , Olivier Bleu , Meera M. Parish

We study low-dimensional quantum systems with analytical and computational methods. Firstly, the one-dimensional extended $t$-$V$ model of fermions with interactions of a finite range is investigated. The model exhibits a phase transition…

Strongly Correlated Electrons · Physics 2018-10-18 Marcin Szyniszewski

Long-range dipole-dipole interactions in subwavelength arrays of quantum emitters involve virtual photon exchange processes that impart forces on the emitters due to the imposed photon recoil. We perform a semi-classical analysis of the…

Quantum Physics · Physics 2024-07-17 Samuel Buckley-Bonanno , Stefan Ostermann , Yidan Wang , Susanne F. Yelin

We investigate the properties of an impurity immersed in an ensemble of spin-polarized fermions confined in a tight quantum wire. We use a non-perturbative variational approach that accounts for virtual transverse excitations and…

Quantum Gases · Physics 2025-09-08 Lovro Anto Barišić , Giuliano Orso , Frédéric Chevy , Kris Van Houcke

Recent experimental realization of dipolar Fermi gases near or below quantum degeneracy provides opportunity to engineer Hubbard-like models with long range interactions. Motivated by these experiments, we chart out the theoretical phase…

Quantum Gases · Physics 2012-04-10 S. G. Bhongale , L. Mathey , Shan-Wen Tsai , Charles W. Clark , Erhai Zhao

We consider the problem of a single \down atom in the presence of a Fermi sea of \up atoms, in the vicinity of a Feshbach resonance. We calculate the chemical potential and the effective mass of the \down atom using two simple approaches: a…

Statistical Mechanics · Physics 2010-07-23 R. Combescot , A. Recati , C. Lobo , F. Chevy

We use a quantum Monte Carlo method (stochastic series expansion) to study the effects of a magnetic or nonmagnetic impurity on the magnetic susceptibility of the two-dimensional Heisenberg antiferromagnet. At low temperatures, we find a…

Strongly Correlated Electrons · Physics 2009-11-10 Kaj H. Hoglund , Anders W. Sandvik

The notion of quasi-particles is essential for understanding the behaviour of complex many-body systems. A prototypical example of a quasi-particle, a polaron, is an impurity strongly interacting with a surrounding medium. Fermi polarons,…

The polaron binding energy and effective mass in a degenerate polar gas is calculated in the fractional-dimensional approach under plasmon pole approximation.The effect of carrier densities on the static and dynamic screening correction of…

Strongly Correlated Electrons · Physics 2014-10-21 Krushna Mohan Mohapatra , Birendra Kumar Panda , Susmita Kar