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Recently, two independent experiments reported the observation of long-lived polarons in a Bose-Einstein condensate, providing an excellent setting to study the generic scenario of a mobile impurity interacting with a quantum reservoir.…

Quantum Gases · Physics 2019-06-19 L. A. Peña Ardila , N. B. Jörgensen , T. Pohl , S. Giorgini , G. M. Bruun , J. J. Arlt

We discuss the interaction of a quantum impurity with a one-dimensional degenerate Bose gas forming a Bose-polaron. In three spatial dimensions the quasiparticle is typically well described by the extended Fr\"ohlich model, in full analogy…

Quantum Gases · Physics 2021-04-20 Jonas Jager , Ryan Barnett , Martin Will , Michael Fleischhauer

We use a class of variational wave functions to study the properties of an impurity in a Bose-Einstein condensate, i.e. the "Bose polaron". The impurity interacts with the condensate through a contact interaction, which can be tuned by a…

Quantum Gases · Physics 2014-07-18 Weiran Li , S. Das Sarma

We study the problem of an impurity in fully polarized (spin-up) low density neutron matter with the help of an accurate quantum Monte Carlo method in conjunction with a realistic nucleon-nucleon interaction derived from chiral effective…

Nuclear Theory · Physics 2015-11-18 Alessandro Roggero , Abhishek Mukherjee , Francesco Pederiva

We present a detailed description of the recently proposed numerical renormalization group method for models of quantum impurities coupled to a bosonic bath. Specifically, the method is applied to the spin-boson model, both in the Ohmic and…

Strongly Correlated Electrons · Physics 2009-11-10 Ralf Bulla , Hyun-Jung Lee , Ning-Hua Tong , Matthias Vojta

We give a detailed account of a stationary impurity in an ideal Bose-Einstein condensate, which we call the ideal Bose polaron, at both zero and non-zero temperatures and arbitrary strength of the impurity-boson coupling. The time evolution…

Quantum Gases · Physics 2021-03-24 Moritz Drescher , Manfred Salmhofer , Tilman Enss

We investigate the one-dimensional polaron problem and calculate the ground state energy and the effective mass. We use a real-time renormalization group method and compare our results with first and second order perturbation theory, with…

Statistical Mechanics · Physics 2009-10-31 Markus Keil , Herbert Schoeller

We introduce a novel minimally-disturbing method for sub-nK thermometry in a Bose-Einstein condensate (BEC). Our technique is based on the Bose-polaron model; namely, an impurity embedded in the BEC acts as the thermometer. We propose to…

We provide a detailed presentation of the functional renormalisation group (FRG) approach for weakly-interacting Bose-Bose mixtures, including a complete discussion on the RG equations. To test this approach, we examine thermodynamic…

Quantum Gases · Physics 2022-01-21 Felipe Isaule , Ivan Morera

We give a self-contained introduction to the physics of ultracold atoms using functional integral techniques. Based on a consideration of the relevant length scales, we derive the universal effective low energy Hamiltonian describing…

Quantum Gases · Physics 2012-09-26 Igor Boettcher , Jan M. Pawlowski , Sebastian Diehl

An impurity immersed in a Bose-Einstein condensate is no longer accurately described by the Fr\"ohlich Hamiltonian as the coupling between the impurity and the boson bath gets stronger. We study the dominant effects of the two-phonon terms…

Quantum Gases · Physics 2019-10-28 Timour Ichmoukhamedov , Jacques Tempere

We study the transport of ultracold impurity atoms immersed in a Bose-Einstein condensate (BEC) and trapped in a tight optical lattice. Within the strong-coupling regime, we derive an extended Hubbard model describing the dynamics of the…

Quantum Physics · Physics 2008-03-11 M. Bruderer , A. Klein , S. R. Clark , D. Jaksch

We discuss the cooling dynamics of heavy impurity atoms in a Bose-Einstein condensate (BEC) by emission of Cherenkov phonons from scattering with the condensate. In a weakly interacting, low-temperature condensate the superfluidity of the…

Quantum Gases · Physics 2018-02-21 Tobias Lausch , Artur Widera , Michael Fleischhauer

We address the Bose polaron problem of a mobile impurity interacting strongly with a host Bose-Einstein condensate (BEC) through a Feshbach resonance. On the repulsive side at strong couplings, theoretical approaches predict two distinct…

Quantum Gases · Physics 2026-01-01 Nader Mostaan , Nathan Goldman , Fabian Grusdt

In this paper we study an impurity in Bose-Einstein-Condensate system at $T=0K$ and suppose the contact forms for boson-boson and boson-impurity interactions. Using Bogoliubov theory and a further approximation corresponding to only think…

Statistical Mechanics · Physics 2011-05-19 Beibing Huang , Shaolong Wan

We investigate the zero-temperature properties of a mobile impurity immersed in a bath of bosonic particles confined to a square lattice. We analyze the regimes of attractive and repulsive coupling between the impurity and the bath…

Quantum Gases · Physics 2025-12-18 Tom Hartweg , Tanul Gupta , Guido Pupillo

We describe the generalization of Wilson's Numerical Renormalization Group method to quantum impurity models with a bosonic bath, providing a general non-perturbative approach to bosonic impurity models which can access exponentially small…

Statistical Mechanics · Physics 2007-05-23 Ralf Bulla , Ning-Hua Tong , Matthias Vojta

Bose polarons, quasi-particles composed of mobile impurities surrounded by cold Bose gas, can experience strong interactions mediated by the many-body environment and form bipolaron bound states. Here we present a detailed study of heavy…

Quantum Gases · Physics 2021-09-02 Martin Will , Gregory E. Astrakharchik , Michael Fleischhauer

We consider the problem of unitary Bose polarons, i.e., impurities interacting via a potential with infinite scattering length with a bath of weakly interacting bosons. We provide an analytic expression for the energy of a heavy impurity…

The renormalization group method has been adapted to the analysis of the long-time behavior of non-linear partial differential equation and has demonstrated its power in the study of critical phenomena of gravitational collapse. In the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Osamu Iguchi , Akio Hosoya , Tatsuhiko Koike