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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 consider a one-dimensional system of interacting bosons in a random potential. At zero temperature, it can be either in the superfluid or in the insulating phase. We study the transition at weak disorder and moderate interaction. Using a…

The model Hamiltonian of a two-dimensional Bose liquid (proposed earlier by Kane, Kivelson, Lee and Zhang as the Hamiltonian which has Jastrow-type wavefunctions as the ground-state solution), is shown to possess nonrelativistic…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. V. Feigel'man , M. A. Skvortsov

We follow up on a recent suggestion by C. Orzel et. al., Science, 291, 2386 (2001), whereby bosons in an optical lattice would be subjected to a sudden parameter change from the Mott to the superfluid phase. We analyze the Bose Hubbard…

Soft Condensed Matter · Physics 2009-11-07 Ehud Altman , Assa Auerbach

The zero-temperature phase diagram for ultracold Bosons in a random 1D potential is obtained through a site-decoupling mean-field scheme performed over a Bose-Hubbard (BH) Hamiltonian whose hopping term is considered as a random variable.…

Statistical Mechanics · Physics 2009-11-11 P. Buonsante , F. Massel , V. Penna , A. Vezzani

We investigate the behavior of a one-dimensional Bose-Hubbard gas in both a ring and a hard-wall box, whose kinetic energy is made to oscillate with zero time-average, which suppresses first-order particle hopping. For intermediate and…

Quantum Gases · Physics 2019-10-16 G. Pieplow , C. E. Creffield , F. Sols

We investigate the properties of the superfluid phase in the three-dimensional disordered Bose-Hubbard model using Quantum Monte-Carlo simulations. The phase diagram is generated using Gaussian disorder on the on-site potential. Comparisons…

Quantum Gases · Physics 2019-01-31 Bruno R. de Abreu , Ushnish Ray , Silvio A. Vitiello , David M. Ceperley

The one-dimensional Bose gas is an unusual superfluid. In contrast to higher spatial dimensions, the existence of non-classical rotational inertia is not directly linked to the dissipationless motion of infinitesimal impurities. Recently,…

Quantum Gases · Physics 2012-11-16 Alexander Yu. Cherny , Jean-Sebastien Caux , Joachim Brand

We study the real time dynamics of the Bose Hubbard model in the presence of time-dependent hopping allowing for a finite temperature initial state. We use the Schwinger-Keldysh technique to find the real-time strong coupling action for the…

Quantum Gases · Physics 2011-09-16 Malcolm P. Kennett , Denis Dalidovich

A supersolid is a counter-intuitive state of matter that combines the frictionless flow of a superfluid with the crystal-like periodic density modulation of a solid. Since the first prediction in the 1950s, experimental efforts to realize…

We study the superfluid--Bose-glass transition in a one-dimensional lattice boson model with power-law decaying hopping amplitude $t_{i-j}\sim 1/|i-j|^\alpha$, using bosonization and the nonperturbative functional renormalization group…

Quantum Gases · Physics 2024-10-01 Nicolas Dupuis

We study the equilibrium properties of the one-dimensional disordered Bose-Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid…

Disordered Systems and Neural Networks · Physics 2016-01-27 Matthias Gerster , Matteo Rizzi , Ferdinand Tschirsich , Pietro Silvi , Rosario Fazio , Simone Montangero

We derive hydrodynamics of a prototypical one dimensional model, having variable-range hopping, which mimics passive diffusion and ballistic motion of active, or self-propelled, particles. The model has two main ingredients - the hardcore…

Statistical Mechanics · Physics 2020-05-27 Tanmoy Chakraborty , Subhadip Chakraborti , Arghya Das , Punyabrata Pradhan

In the absence of frustration, interacting bosons in the ground state exist either in the superfluid or insulating phases. Superfluidity corresponds to frictionless flow of the matter field, and in optical conductivity is revealed through a…

Disordered Systems and Neural Networks · Physics 2022-05-04 Guido Masella , Nikolay V. Prokof'ev , Guido Pupillo

Modern experimental platforms such as supercoducting-circuit arrays call for the exploration of bosonic tight-binding models in unconventional situations with no counterpart in real materials. Here we investigate one of such situations, in…

Quantum Gases · Physics 2020-09-16 Zijian Wang , Carlos Navarrete-Benlloch , Zi Cai

We consider two species of hard-core bosons with density dependent hopping in a one-dimensional optical lattice, for which we propose experimental realizations using time-periodic driving. The quantum phase diagram for half-integer filling…

Strongly Correlated Electrons · Physics 2020-03-11 Tao Wang , Shijie Hu , Sebastian Eggert , Michael Fleischhauer , Axel Pelster , Xue-Feng Zhang

Recent advance in quantum simulations of interacting photons using superconducting circuits offers opportunities for investigating the Bose-Hubbard model in various geometries with hopping coefficients and self-interactions tuned to both…

Superconductivity · Physics 2016-03-01 Xiu-Hao Deng , Chen-Yen Lai , Chih-Chun Chien

We consider a system formed by an array of Bose-Einstein condensates trapped in a harmonic potential with a superimposed periodic optical potential. Starting from the boson field Hamiltonian, appropriate to describe dilute gas of bosonic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P Buonsante , R Franzosi , V Penna

We study the entanglement entropy and entanglement spectrum of the paradigmatic Bose-Hubbard model, describing strongly correlated bosons on a lattice. The use of a controlled approximation - the slave-boson approach - allows us to study…

Strongly Correlated Electrons · Physics 2016-05-18 Irénée Frérot , Tommaso Roscilde

We show that spinor Bose gases subject to a quadratic Zeeman effect exhibit coexisting superfluidity and spin superfluidity, and study the interplay between these two distinct types of superfluidity. To illustrate that the basic principles…

Quantum Gases · Physics 2017-05-08 J. Armaitis , R. A. Duine