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Systems of interest in physics are usually composed by a very large number of interacting particles. At equilibrium, these systems are described by stationary states of the many-body Hamiltonian (at zero temperature, by the ground state).…

Mathematical Physics · Physics 2012-10-08 Benjamin Schlein

Recent experiments have demonstrated single-site resolved observation of cold atoms in optical lattices. Thus, in the future it may be possible to take repeated snapshots of an interacting quantum many-body system during the course of its…

Quantum Gases · Physics 2012-01-13 Stefan Kessler , Andreas Holzner , Ian P. McCulloch , Jan von Delft , Florian Marquardt

We study the influence of particle interaction on a quantum walk on a bipartite one-dimensional lattice with decay from every second site. The corresponding non-interacting (linear) system has been shown to have a topological transition…

Quantum Physics · Physics 2012-09-04 K. Rapedius , H. J. Korsch

We study many-body localization in a one dimensional optical lattice filled with bosons. The interaction between bosons is assumed to be random, which can be realized for atoms close to a microchip exposed to a spatially fluctuating…

Quantum Gases · Physics 2017-12-21 Piotr Sierant , Dominique Delande , Jakub Zakrzewski

We present a theoretical study based upon quantum Monte Carlo methods of the Bose polaron in one-dimensional systems with contact interactions. In this instance of the problem of a single impurity immersed in a quantum bath, the medium is a…

Quantum Gases · Physics 2017-03-01 Luca Parisi , Stefano Giorgini

By using numerical simulations, we investigate the dynamics of a quantum system of interacting bosons. We find an increase of properly defined mixing properties when the number of particles increases at constant density or the interaction…

Condensed Matter · Physics 2009-10-28 Giovanni Jona-Lasinio , Carlo Presilla

The quench dynamics of a strongly interacting bosons on quartic and sextic trap are studied by solving the time dependent many-boson Schrodinger equation numerically exactly. The dynamics is addressed by the key measures of one-body density…

Quantum Gases · Physics 2023-12-22 Pankaj Kumar Debnath , Barnali Chakrabarti , Mantile Leslie Lekala

The role of shape resonances and many-body effects on universal quantum sticking of ultra cold atoms onto solid surfaces is examined analytically and computationally using an exactly solvable representation of the Dyson equation. We derive…

chem-ph · Physics 2009-10-22 Eric R. Bittner , John C. Light

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 evaluate the degree of quantum correlation between two fermions (bosons) subject to continuous time quantum walks in a one-dimensional ring lattice with periodic boundary conditions. In our approach, no particle-particle interaction is…

Quantum Physics · Physics 2012-04-17 Claudia Benedetti , Fabrizio Buscemi , Paolo Bordone

We present a unified picture of the interaction effects in dilute atomic quantum gases. We consider fermionic as well as bosonic gases and, in particular, discuss for both forms of statistics the fundamental differences between a gas with…

Condensed Matter · Physics 2007-05-23 H. T. C. Stoof , M. Bijlsma , M. Houbiers

This thesis deals with the study of dynamical properties of out-of-equilibrium quantum systems. We introduce in particular a general class of Spin-Boson models, which describe for example light-matter interaction or dissipative phenomena.…

Mesoscale and Nanoscale Physics · Physics 2018-04-17 Loïc Henriet

In present work, we study an numerical approach to one dimensional finite volume three-body interaction, the method is demonstrated by considering a toy model of three spinless particles interacting with pair-wise $\delta$-function…

High Energy Physics - Lattice · Physics 2018-01-31 Peng Guo , Vladimir Gasparian

We construct a quantum Monte Carlo algorithm for interacting fermions using the two-body density as the fundamental quantity. The central idea is mapping the interacting fermionic system onto an auxiliary system of interacting bosons. The…

Statistical Mechanics · Physics 2008-07-30 Balazs Hetenyi , L. Brualla , S. Fantoni

In an ideal quantum measurement, the wave function of a quantum system collapses to an eigenstate of the measured observable, and the corresponding eigenvalue determines the measurement outcome. If the observable commutes with the system…

Quantum Physics · Physics 2020-02-13 Dayou Yang , Andrey Grankin , Lukas M. Sieberer , Denis V. Vasilyev , Peter Zoller

Many-body effects in confined quantum systems pose a challenging problem due to the simultaneous presence of particle-particle interactions and spatial inhomogeneity. Here we investigate universal properties of strongly confined particles…

Materials Science · Physics 2009-11-13 K. Capelle , M. Borgh , K. Karkkainen , S. M. Reimann

Simulating quantum many-body systems on a classical computer generally requires a computational cost that grows exponential with the number of particles. This computational complexity has been the main obstacle to understanding various…

Quantum Physics · Physics 2019-07-12 Jirawat Tangpanitanon , Dimitris G. Angelakis

We present a semiclassical treatment of one-dimensional many-body quantum systems in equilibrium, where quantum corrections to the classical field approximation are systematically included by a renormalization of the classical field…

Statistical Mechanics · Physics 2020-06-25 Alvise Bastianello , Maksims Arzamasovs , Dimitri M. Gangardt

Improving the understanding of strongly correlated quantum many body systems such as gases of interacting atoms or electrons is one of the most important challenges in modern condensed matter physics, materials research and chemistry.…

Quantum Physics · Physics 2015-12-18 C. Eichler , J. Mlynek , J. Butscher , P. Kurpiers , K. Hammerer , T. J. Osborne , A. Wallraff

Recent experimental breakthroughs in trapping, cooling and controlling ultracold gases of polar molecules, magnetic and Rydberg atoms have paved the way toward the investigation of highly tunable quantum systems, where anisotropic,…

Quantum Gases · Physics 2015-02-11 M. A. Baranov , M. Dalmonte , G. Pupillo , P. Zoller
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