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We compute the phase diagram of the one-dimensional Bose-Hubbard model with a quasi-periodic potential by means of the density-matrix renormalization group technique. This model describes the physics of cold atoms loaded in an optical…

Strongly Correlated Electrons · Physics 2008-08-24 G. Roux , T. Barthel , I. P. McCulloch , C. Kollath , U. Schollwoeck , T. Giamarchi

We study a ultra-cold and dilute superfluid Bose-Fermi mixture confined in a strictly one-dimensional atomic waveguide by using a set of coupled nonlinear mean-field equations obtained from the Lieb-Liniger energy density for bosons and the…

Other Condensed Matter · Physics 2009-11-13 Sadhan K. Adhikari , Luca Salasnich

The quantum phase transition from the Mott insulator state to the superfluid in the Bose-Hubbard model is investigated. We research one, two and three dimensional lattices in the truncated Wigner approximation. We compute both kinetic and…

Quantum Gases · Physics 2013-03-28 Marek Tylutki , Jacek Dziarmaga , Wojciech H. Zurek

Earlier work [arXiv:1206.2407,arXiv:2206.06085] have shown the band insulator (BI) to superfluid (SF) phase transition in the half-filled bilayer attractive Hubbard model. In this paper we append the effects of random on-site disorder on…

Superconductivity · Physics 2023-09-12 Yogeshwar Prasad , Hunpyo Lee

A concise, somewhat personal, review of the problem of superfluidity and quantum criticality in regular and disordered interacting Bose systems is given, concentrating on general features and important symmetries that are exhibited in…

Disordered Systems and Neural Networks · Physics 2009-11-13 Peter B. Weichman

Ultracold gases offer an unprecedented opportunity to engineer disorder and interactions in a controlled manner. In an effort to understand the interplay between disorder, dipolar interaction and quantum degeneracy, we study two-dimensional…

Disordered Systems and Neural Networks · Physics 2018-01-24 C. Zhang , A. Safavi-Naini , B. Capogrosso-Sansone

The nature of the superfluid-to-Bose-glass (SF-BG) quantum phase transition, occurring in systems of interacting bosons immersed in a disordered environment, remains elusive. One fundamental open question is whether or not the transition…

Disordered Systems and Neural Networks · Physics 2024-08-01 Yuchen Fan , Rong Yu , Tommaso Roscilde

We study the quantum phase transition between a normal Bose superfluid to one that breaks additional Z_2 Ising symmetry. Using the recent shaken optical lattice experiment as an example, we first show that at mean-field level atomic…

Quantum Gases · Physics 2014-10-15 Wei Zheng , Boyang Liu , Jiao Miao , Cheng Chin , Hui Zhai

The superfluid - Mott insulator transition in a BEC confined in an amplitude - modulated optical lattice can be manipulated by the modulation strength. Two standing laser waves of main and sideband frequencies of an optical lattice induce a…

Condensed Matter · Physics 2007-05-23 G. M. Genkin

We examine the quench dynamics across quantum phase transitions from a Mott insulator (MI) to a superfluid (SF) phase in a two-component bosonic mixture in an optical lattice. We show that two-component Bose mixtures exhibit qualitatively…

Quantum Gases · Physics 2025-02-24 Pardeep Kaur , Kuldeep Suthar , Dilip Angom , Sandeep Gautam

We demonstrate that the transition from a superfluid to a Mott insulator in the Bose-Hubbard model can be induced by an oscillating force through an effective renormalization of the tunneling matrix element. The mechanism involves adiabatic…

Other Condensed Matter · Physics 2007-05-23 Andre Eckardt , Christoph Weiss , Martin Holthaus

We study the quantum phase transition from the superfluid to the Mott insulator state in two and three dimensional Bose-Einstein condensate (BEC) with optical lattices using Bose-Hubbard Hamiltonian within the Generalized…

Quantum Gases · Physics 2014-12-09 M. Bendacha , Abdelaali Boudjemâa

We study the impact of weak quenched disorder on the BCS-BEC crossover in the Hubbard model within a functional-integral approach. By deriving the thermodynamic potential up to second order in both the disorder potential and pairing…

Quantum Gases · Physics 2026-01-13 M. Iskin

We present a nonperturbative renormalization-group approach to the Bose-Hubbard model. By taking as initial condition of the renormalization-group flow the (local) limit of decoupled sites, we take into account both local and long-distance…

Quantum Gases · Physics 2011-12-12 A. Rancon , N. Dupuis

We present a controlled rare-weak-link theory of the superfluid-to-Bose/Mott glass transition in one-dimensional disordered systems. The transition has Kosterlitz-Thouless critical properties but may occur at an arbitrary large value of the…

Statistical Mechanics · Physics 2015-06-17 Lode Pollet , Nikolay V. Prokof'ev , Boris V. Svistunov

The emergence of a compressible insulator phase, known as the Bose glass, is characteristic of the interplay of interactions and disorder in correlated Bose fluids. While widely studied in tight-binding models, its observation remains…

Quantum Gases · Physics 2020-08-13 Hepeng Yao , Thierry Giamarchi , Laurent Sanchez-Palencia

Recent observation of diminishing superfluid phase stiffness upon increasing carrier density in cuprate high-temperature superconductors is unexpected from the quantum density-phase conjugation of superfluidity. Here, through analytic…

Superconductivity · Physics 2022-09-20 Zi-Jian Lang , Fan Yang , Wei Ku

The superfluid -- Mott insulator phase transition in a Bose-Einstein condensate of neutral atoms with doubly degenerate internal ground states in an optical lattice is theoretically investigated. The optical lattice is created by two…

Condensed Matter · Physics 2009-11-10 K. V. Krutitsky , R. Graham

The Mott insulator-to-superfluid transition exhibited by the Bose-Hubbard model on a two-dimensional square lattice occurs for any value of the chemical potential, but becomes critical at the tips of the so-called Mott lobes only. Employing…

Statistical Mechanics · Physics 2019-12-03 Sören Sanders , Martin Holthaus

We have studied the superfluid - Mott insulator transition in a BEC confined in an optical lattice and driven by an additional external electromagnetic field, which excites another internal state. It is shown that due to resonant strong…

Other Condensed Matter · Physics 2007-05-23 G. M. Genkin
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