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The Hubbard model constitutes one of the most celebrated theoretical frameworks of condensed-matter physics. It describes strongly correlated phases of interacting quantum particles confined in lattice potentials. For bosons, the Hubbard…

Strongly Correlated Electrons · Physics 2022-10-12 C. Lagoin , U. Bhattacharya , T. Grass , R. Chhajlany , T. Salamon , K. Baldwin , L. Pfeiffer , M. Lewenstein , M. Holzmann , F. Dubin

We study, within a framework of the classical fields approximation, the density correlations of a weakly interacting expanding Bose gas for the whole range of temperatures across the Bose-Einstein condensation threshold. We focus on…

Quantum Gases · Physics 2015-10-09 Krzysztof Gawryluk , Mariusz Gajda , Miroslaw Brewczyk

The Hubbard model provides a simple framework in which one can study how certain aspects of the electronic structure of strongly interacting systems can be tuned to optimize the superconducting pairing correlations and how these changes…

Superconductivity · Physics 2022-03-02 Thomas A. Maier , Elbio Dagotto

We investigate, both experimentally and theoretically, possible routes towards Anderson-like localization of Bose-Einstein condensates in disordered potentials. The dependence of this quantum interference effect on the nonlinear…

Disordered Systems and Neural Networks · Physics 2009-11-11 T. Schulte , S. Drenkelforth , J. Kruse , W. Ertmer , J. Arlt , K. Sacha , J. Zakrzewski , M. Lewenstein

We use quantum Monte Carlo simulations to study the phase diagram of hard-core bosons with short-ranged {\it attractive} interactions, in the presence of uniform diagonal disorder. It is shown that moderate disorder stabilizes a glassy…

Disordered Systems and Neural Networks · Physics 2013-05-29 Long Dang , Massimo Boninsegni , Lode Pollet

Motivated by the recent progress in realizing and controlling extended Bose-Hubbard systems using excitonic or atomic devices, the present Letter theoretically investigates the case of a two-band Bose-Hubbard chain with nearest-neighbor…

Motivated by the recent rapid development of the field of quantum gases in optical lattices, we present a comprehensive study of the spectrum of ultracold atoms in a one-dimensional optical lattice subjected to a periodic lattice…

Quantum Gases · Physics 2011-10-11 Jia-Wei Huo , Fu-Chun Zhang , Weiqiang Chen , M. Troyer , U. Schollwöck

Understanding the microscopic mechanism of coexisting long-range orders (such as lattice supersolidity) in strongly correlated systems is a subject of immense interest. We study the possible manifestations of long-range orders, including…

Strongly Correlated Electrons · Physics 2017-09-13 Amrita Ghosh , Sudhakar Yarlagadda

We consider weakly interacting bosons in a 1D quasiperiodic potential (Aubry-Azbel-Harper model) in the regime where all single-particle states are localized. We show that the interparticle interaction may lead to the many-body…

Disordered Systems and Neural Networks · Physics 2015-06-18 V. P. Michal , B. L. Altshuler , G. V. Shlyapnikov

We investigate properties of an ultracold, two-component bosonic gas in a square optical lattice at unit filling. In addition to density-density interactions, the atoms are subject to coherent light-matter interactions that couple different…

Quantum Gases · Physics 2018-01-03 Ulrike Bornheimer , Ivana Vasić , Walter Hofstetter

We analyze the decay of ultracold atoms from an optical lattice with loss form a single lattice site. If the initial state is dynamically stable a suitable amount of dissipation can stabilize a Bose-Einstein condensate, such that it remains…

Quantum Gases · Physics 2013-07-08 Georgios Kordas , Sandro Wimberger , Dirk Witthaut

We study the spectral statistics of interacting spinless fermions in a two-dimensional disordered lattice. Within a full quantum treatment for small few-particle-systems, we compute the low-energy many-body states numerically. While at weak…

Strongly Correlated Electrons · Physics 2009-11-10 Gabriel Vasseur , Dietmar Weinmann

Motivated by experiments on the layered compounds $\kappa$-(BEDT-TTF)$_2$X, Cs$_2$CuCl$_4$, and very recently Na$_x$CoO$_2 \cdot y$H$_2$O, we present a weak-coupling functional renormalization-group analysis of the Hubbard model on the…

Superconductivity · Physics 2007-05-23 Shan-Wen Tsai , J. B. Marston

The extended Bose-Hubbard model captures the essential properties of a wide variety of physical systems including ultracold atoms and molecules in optical lattices, Josephson junction arrays, and certain narrow band superconductors. It…

Other Condensed Matter · Physics 2017-10-25 Fei Lin , T. A. Maier , V. W. Scarola

We study a one-dimensional disordered Bose fluid using bosonization, the replica method and a nonperturbative functional renormalization-group approach. We find that the Bose-glass phase is described by a fully attractive strong-disorder…

Quantum Gases · Physics 2020-05-14 Nicolas Dupuis , Romain Daviet

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

With the objective of simulating the physical behavior of electrons in a dynamic background, we investigate a cold atomic Bose-Fermi mixture confined in an optical lattice potential solely affecting the bosons. The bosons, residing in the…

Quantum Gases · Physics 2024-02-19 Axel Gagge , Th. K. Mavrogordatos , Jonas Larson

We investigate the quantum phases of monodispersed bosonic gases confined to a triangular lattice and interacting via a class of soft-shoulder potentials. The latter correspond to soft-core potentials with an additional hard-core onsite…

Quantum Gases · Physics 2016-04-06 Adriano Angelone , Fabio Mezzacapo , Guido Pupillo

Zero temperature properties of a dilute weakly interacting $d$-dimensional Bose gas in a random potential are studied. We calculate geometrical and energetic characteristics of the localized state of a gas confined in a large box or in a…

Quantum Physics · Physics 2015-05-13 G. M. Falco , T. Nattermann , V. L. Pokrovsky

One of the most intriguing phenomena in physics is the localization of waves in disordered media. This phenomenon was originally predicted by Anderson, fifty years ago, in the context of transport of electrons in crystals. Anderson…

Disordered Systems and Neural Networks · Physics 2015-02-26 G. Roati , C. D'Errico , L. Fallani , M. Fattori , C. Fort , M. Zaccanti , G. Modugno , M. Modugno , M. Inguscio