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Related papers: Exact results for heavy unitary Bose polarons

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The ground state properties of interacting Bose gases in external potentials, as considered in recent experiments, are usually described by means of the Gross-Pitaevskii energy functional. We present here the first proof of the asymptotic…

Mathematical Physics · Physics 2009-10-31 Elliott H. Lieb , Robert Seiringer , Jakob Yngvason

Universality is a fundamental concept in physics that allows for the description of properties of systems that are independent of microscopic details. In this work, we show that polaritons in a Bose-Einstein condensate (BEC) are a suitable…

Quantum Gases · Physics 2023-09-04 A. Camacho-Guardian

We study a system of ultra cold dipolar Bose gas atoms confined in a two-dimensional (2D) harmonic trap with a dipolar impurity implanted at the center of the trap. Due to recent experimental progress in dipolar condensates, we focused on…

Quantum Gases · Physics 2025-04-10 Neelam Shukla , Jeremy R Armstrong

The Fr\"ohlich model describes the interaction of a mobile impurity with a surrounding bath of phonons which leads to the formation of a quasiparticle, the polaron. In this article an efficient renormalization group approach is presented…

Quantum Gases · Physics 2016-04-27 Fabian Grusdt

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 report on ground state properties of a one-dimensional, weakly-interacting Bose gas constrained by an infinite multi-rods periodic structure at zero temperature. We solve the stationary Gross-Pitaevskii equation (GPE) to obtain the Bloch…

Quantum Gases · Physics 2020-01-09 Omar Abel Rodríguez-López , M. A. Solís

The full momentum dependence of spectrum of a point-like impurity immersed in a dilute one-dimensional Bose gas is calculated on the mean-field level. In particular we elaborate, to the finite-momentum Bose polaron, the path-integral…

Quantum Gases · Physics 2019-10-02 Galyna Panochko , Volodymyr Pastukhov

A weakly interacting Bose gas with a single static impurity is studied in one dimension. The local spectral density is evaluated and an analytic expression valid for positive strengths of the impurity coupling to the bosons, at all…

Quantum Gases · Physics 2022-04-12 Aleksandra Petković

The model of a ring threaded by the Aharonov-Bohm flux underlies our understanding of a coupling between gauge potentials and matter. The typical formulation of the model is based upon a single particle picture, and should be extended when…

Quantum Gases · Physics 2023-08-29 Fabian Brauneis , Areg Ghazaryan , Hans-Werner Hammer , Artem G. Volosniev

A modified Gross-Pitaevskii approximation was introduced recently for bosons in dimension $d\le2$ by Kolomeisky {\it et al.} (Phys. Rev. Lett. {\bf 85} 1146 (2000)). We use the density functional approach with sixth-degree interaction…

Statistical Mechanics · Physics 2009-10-31 R. K. Bhaduri , Sankalpa Ghosh , M. V. N. Murthy , Diptiman Sen

Grusdt et al. [New J. Phys. 19, 103035 (2017)] recently made a renormalization group study of a one-dimensional Bose polaron in cold atoms. Their study went beyond the usual Frohlich description, which includes only single-phonon processes,…

Quantum Gases · Physics 2018-10-17 Ben Kain , Hong Y. Ling

The Fr\"ohlich polaron model describes a ubiquitous class of problems concerned with understanding properties of a single mobile particle interacting with a bosonic reservoir. Originally introduced in the context of electrons interacting…

Quantum Gases · Physics 2015-10-19 Fabian Grusdt , Eugene Demler

The interaction of two spatially separated impurity atoms through phonon exchange in a Bose-Einstein condensate is studied within a Bogoliubov approach. The impurity atoms are held by deep and narrow trap potentials and experience level…

Other Condensed Matter · Physics 2009-11-10 Alexander Klein , Michael Fleischhauer

Continuous quantum phase transitions are characterized by an order parameter and correlation functions that are often challenging to access experimentally or in direct numerical simulations. The energy of an added impurity can on the other…

The occurrence of a molecular Bose-Einstein condensate is studied for an atomic system near a zero energy resonance of the binary scattering process, with a large and positive scattering length. The interaction potential is modeled by a…

Statistical Mechanics · Physics 2007-05-23 L. Pricoupenko

We consider a dilute homogeneous Bose gas with both an isotropic short-range contact interaction and an anisotropic long-range dipole-dipole interaction in a weak random potential at low temperature in three dimensions. Within the realm of…

Quantum Gases · Physics 2015-01-09 Mahmoud Ghabour , Axel Pelster

We study a dilute system of $N$ interacting bosons coupled to an impurity particle via a pair potential in the Gross--Pitaevskii regime. We derive an expansion of the ground state energy up to order one in the boson number, and show that…

Mathematical Physics · Physics 2025-08-01 Jonas Lampart , Arnaud Triay

Landau's description of the excitations in a macroscopic system in terms of quasiparticles stands out as one of the highlights in quantum physics. It provides an accurate description of otherwise prohibitively complex many-body systems, and…

Quantum Gases · Physics 2018-08-17 A. Camacho-Guardian , Georg M. Bruun

We consider the dynamics of the Bose polaron system, a dense quantum gas consisting of $N$ bosons evolving in $\mathbb{R}^3$ in the presence of an impurity particle. The system is studied in the mean-field scaling with initially high…

Mathematical Physics · Physics 2026-05-25 Jonas Lampart , Peter Pickl , Siegfried Spruck

We consider a dilute, homogeneous Bose gas at positive temperature. The system is investigated in the Gross-Pitaevskii (GP) limit, where the scattering length $a$ is so small that the interaction energy is of the same order of magnitude as…

Mathematical Physics · Physics 2020-03-17 Andreas Deuchert , Robert Seiringer
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