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We study the physics of a mobile impurity immersed in a $1d$ topological superconductor. We discuss the system's phase diagram obtained with exact diagonalization. We argue that the character of the transition from a weak to strong coupling…

Strongly Correlated Electrons · Physics 2025-05-16 A. V. Sadovnikov , M. S. Bahovadinov , A. N. Rubtsov , A. A. Markov

We consider a superconductor hosting mobile impurities, which locally change the superconducting transition temperature. The BCS interaction at the impurity is different both in magnitude and in sign from the BCS interaction in the bulk. It…

Superconductivity · Physics 2018-11-14 I. V. Sokolovskii , S. A. Ktitorov , A. Yu. Zyuzin

It is shown that a compound elastic structure, which displays a dynamic instability, may be designed as the union (or 'fusion') of two structures which are stable when separately analyzed. The compound elastic structure has two degrees of…

Classical Physics · Physics 2023-01-16 Marco Rossi , Andrea Piccolroaz , Davide Bigoni

We develop a rigorous analytical framework for a coupled stochastic fluid-rigid body system in $\mathbb{R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in…

Analysis of PDEs · Mathematics 2026-05-13 Felix Brandt , Arnab Roy

A recent experiment [Nature Physics 10, 1 (2019)] has realized a dynamical gauge system with $\mathbb{Z}_2$ gauge symmetry in a double-well potential. In this work we propose a method to generalize this model from a single double well to a…

Quantum Gases · Physics 2020-09-23 Zhiyuan Yao , Chang Liu , Pengfei Zhang , Hui Zhai

We unravel the many-body dynamics of a harmonically trapped impurity colliding with a bosonic medium confined in a double-well upon quenching the initially displaced harmonic trap to the center of the double-well. We reveal that the…

Quantum Gases · Physics 2021-04-28 Friethjof Theel , Kevin Keiler , Simeon I. Mistakidis , Peter Schmelcher

We study the effects produced by competition of two physical mechanisms of energy localization in inhomogeneous nonlinear systems. As an example, we analyze spatially localized modes supported by a nonlinear impurity in the generalized…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov , Yuri S. Kivshar , Ole Bang , Jens J. Rasmussen , Peter L. Christiansen

We investigate the quantum many-body dynamics of bosonic atoms hopping in a two-leg ladder with strong on-site contact interactions. We observe that when the atoms are prepared in a staggered pattern with pairs of atoms on every other rung,…

We study two mobile bosonic impurities immersed in a one-dimensional optical lattice and interacting with a bosonic bath. We employ the exact diagonalization method for small periodic lattices to study stationary properties and dynamics. We…

Quantum Gases · Physics 2024-08-06 Felipe Isaule , Abel Rojo-Francàs , Bruno Juliá-Díaz

Using a variational approach we investigate the delocalized to localized crossover in the ground state of an Ohmic two-impurity spin-boson model, describing two otherwise non-interacting spins coupled to a common bosonic environment. We…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Dara P. S. McCutcheon , Ahsan Nazir , Sougato Bose , Andrew J. Fisher

Quantum simulation in experiments of many-body systems may bring new phenomena which are not well studied theoretically. Motivated by a recent work of quantum simulation on a superconducting ladder circuit, we investigate the rung-pair…

Quantum Gases · Physics 2020-12-21 Shang-Shu Li , Zi-Yong Ge , Heng Fan

We study localized modes on a single magnetic impurity positioned in the bulk or at the surface of a one-dimensional chain, in the presence of a magnetic field $B$ acting at the impurity site. The strong on-site nonlinear interaction $U$…

Pattern Formation and Solitons · Physics 2009-11-13 Mario I. Molina

We theoretically investigate the correlated decoherence dynamics of two mobile impurities trapped within a gas of ultracold fermionic atoms. We use a mean-field approximation to self-consistently describe the effect of impurity-gas…

Quantum Gases · Physics 2026-01-06 Sindre Brattegard , Thomás Fogarty , Thomas Busch , Mark T. Mitchison

We study the frictional force exerted on the trapped, interacting 1D Bose gas under the influence of a moving random potential. Specifically we consider weak potentials generated by optical speckle patterns with finite correlation length.…

Quantum Gases · Physics 2017-11-30 Alexander Yu. Cherny , Jean-Sébastien Caux , Joachim Brand

We investigate localization properties in a two-coupled uniform chains with quasiperiodic modulation on interchain coupling strength. We demonstrate that this ladder is equivalent to a Aubry-Andre (AA) chain when two legs are symmetric.…

Disordered Systems and Neural Networks · Physics 2021-06-24 R. Wang , X. M. Yang , Z. Song

We numerically study the relaxation dynamics of impurity-host systems, focusing on the presence of long-lived metastable states in the non-equilibrium dynamics after an initial excitation of the impurities. In generic systems, an excited…

Mesoscale and Nanoscale Physics · Physics 2024-09-16 Michael Elbracht , Michael Potthoff

We consider the well-posedness of a model for a flow-structure interaction. This model describes the dynamics of an elastic flexible plate with clamped boundary conditions immersed in a supersonic flow. A perturbed wave equation describes…

Analysis of PDEs · Mathematics 2012-06-01 Igor Chueshov , Irena Lasiecka , Justin T. Webster

We consider the dynamics of a periodic chain of N coupled overdamped particles under the influence of noise, in the limit of large N. Each particle is subjected to a bistable local potential, to a linear coupling with its nearest…

Probability · Mathematics 2007-10-16 Nils Berglund , Bastien Fernandez , Barbara Gentz

We show that 1D lattice models exhibit superdiffusive transport in the presence of random "nodal impurities" in the absence of interaction. Here a nodal impurity is defined as a localized state, the wave function of which has zeros (nodes)…

Mesoscale and Nanoscale Physics · Physics 2024-10-04 Yu-Peng Wang , Jie Ren , Chen Fang

We study the dynamics of a two-level impurity embedded in a two-dimensional Bose-Hubbard model at zero temperature from an open quantum system perspective. Results for the decoherence across the whole phase diagram are presented, with a…

Quantum Physics · Physics 2021-01-29 Fabio Caleffi , Massimo Capone , Inés de Vega , Alessio Recati