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We study two many-body systems of bosons interacting via an infinite three-body contact repulsion in a lattice: a pairs quasi-condensate induced by correlated hopping and the discrete version of the Pfaffian wavefunction. We propose to…

Quantum Gases · Physics 2010-11-01 Leonardo Mazza , Matteo Rizzi , Maciej Lewenstein , J. Ignacio Cirac

This article reviews recent progress in understanding the physics of many-body localisation (MBL) in disordered and interacting quantum many-body systems, from the perspective of ergodicity breaking on the associated Fock space. This…

Disordered Systems and Neural Networks · Physics 2024-12-09 Sthitadhi Roy , David E. Logan

While many studies point towards the existence of many-body localization (MBL) in one dimension, the fate of higher-dimensional strongly disordered systems is a topic of current debate. The latest experiments as well as several recent…

Disordered Systems and Neural Networks · Physics 2024-05-13 Joey Li , Amos Chan , Thorsten B. Wahl

We investigate the many-body dynamics of an effectively attractive one-dimensional Bose system confined in a toroidal trap. The mean-field theory predicts that a bright-soliton state will be formed when increasing the interparticle…

Other Condensed Matter · Physics 2009-11-11 Weibin Li , Xiaotao Xie , Zhiming Zhan , Xiaoxue Yang

The presence of flat bands is a source of localization in lattice systems. While flat bands are often unstable with respect to interactions between the particles, they can persist in certain cases. We consider a diamond ladder with…

Statistical Mechanics · Physics 2023-07-19 Mirko Daumann , Robin Steinigeweg , Thomas Dahm

We investigate the localization properties of a spin chain with an antiferromagnetic nearest-neighbour coupling, subject to an external quasiperiodic on-site magnetic field. The quasiperiodic modulation interpolates between two paradigmatic…

Disordered Systems and Neural Networks · Physics 2021-09-22 Antonio Štrkalj , Elmer V. H. Doggen , Igor V. Gornyi , Oded Zilberberg

We construct a solvable spin chain model of many-body localization (MBL) with a tunable mobility edge. This simple model not only demonstrates analytically the existence of mobility edges in interacting one-dimensional (1D) disordered…

Statistical Mechanics · Physics 2015-07-07 Yichen Huang

What happens in an isolated quantum system when both disorder and interactions are present? Over the recent years, the picture of a non-thermalizing phase of matter, the many-localized phase, has emerged as a stable solution. We present a…

Strongly Correlated Electrons · Physics 2018-05-22 Fabien Alet , Nicolas Laflorencie

We analyze the dynamics of an initially trapped cloud of interacting quantum particles on a lattice under a linear (Stark) potential. We reveal a dichotomy: initially trapped interacting systems possess features typical of both…

Quantum Gases · Physics 2020-03-25 Pedro Ribeiro , Achilleas Lazarides , Masudul Haque

We consider some aspects of a standard model employed in studies of many-body localization: interacting spinless fermions with quenched disorder, for non-zero filling fraction, here on $d$-dimensional lattices. The model may be recast as an…

Strongly Correlated Electrons · Physics 2019-01-10 Staszek Welsh , David E. Logan

We investigate the ground state properties of a lattice trapped bosonic system coupled to a Lieb-Liniger type gas. Our main goal is the description and in depth exploration and analysis of the two-species many-body quantum system including…

Quantum Gases · Physics 2018-04-04 Kevin Keiler , Sven Krönke , Peter Schmelcher

We study the many-body effects on coherent atom-molecule oscillations by means of an effective quantum field theory that describes Feshbach-resonant interactions in Bose gases in terms of an atom-molecule hamiltonian. We determine…

Statistical Mechanics · Physics 2014-10-13 R. A. Duine , H. T. C. Stoof

The question of whether interactions can break dynamical localization in quantum kicked rotor systems has been the subject of a long--standing debate. Here, we introduce an extended mapping from the kicked Lieb--Liniger model to a…

Quantum Gases · Physics 2026-03-24 Ang Yang , Zekai Chen , Yanliang Guo , Manuele Landini , Hanns-Christoph Nägerl , Lei Ying

Recently, the topics of many-body localization (MBL) and one-dimensional strongly interacting few-body systems have received a lot of interest. These two topics have been largely developed separately. However, the generality of the latter…

We calculate the radio-frequency spectrum of a trapped cloud of cold bosonic atoms in an optical lattice. Using random phase and local density approximations we produce both trap averaged and spatially resolved spectra, identifying simple…

Quantum Gases · Physics 2010-03-11 Kaden R. A. Hazzard , Erich J. Mueller

We study on-site occupation number fluctuations in a system of interacting bosons in an optical lattice. The ground-state distribution is obtained analytically in the limiting cases of strong and weak interaction, and by means of exact…

Statistical Mechanics · Physics 2009-11-11 Barbara Capogrosso-Sansone , Evgeny Kozik , Nikolay Prokof'ev , Boris Svistunov

We study the fluctuation properties of a one-dimensional many-body quantum system composed of interacting bosons, and investigate the regimes where quantum noise or, respectively, thermal excitations are dominant. For the latter we develop…

Quantum Gases · Physics 2010-07-16 H. -P. Stimming , N. J. Mauser , J. Schmiedmayer , I. E. Mazets

We investigate the behavior of ultracold bosons in optical lattices with a disorder potential generated via a secondary species frozen in random configurations. The statistics of disorder is associated with the physical state in which the…

Strongly Correlated Electrons · Physics 2009-11-13 Birger Horstmann , Juan Ignacio Cirac , Tommaso Roscilde

At the quantum many-body level, atom-light interfaces generally remain challenging to solve for or understand in a non-perturbative fashion. Here, we consider a waveguide quantum electrodynamics model, where two-level atoms interact with…

Quantum Physics · Physics 2021-09-15 Nikos Fayard , Loïc Henriet , Ana Asenjo-Garcia , Darrick Chang

The many-body wave-function of an interacting one-dimensional electron system is probed, focusing on the low-density, strong interaction regime. The properties of the wave-function are determined using tunneling between two long, clean,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Steinberg , O. M. Auslaender , A. Yacoby , J. Qian , G. A. Fiete , Y. Tserkovnyak , B. I. Halperin , K. W. Baldwin , L. N. Pfeiffer , K. W. West
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