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We investigate the phenomenon of Bose-Einstein condensation and superfluidity in a Bose gas at zero temperature with disorder. By using the Diffusion Monte-Carlo method we calculate the superfluid and the condensate fraction of the system…

Condensed Matter · Physics 2009-11-07 G. E. Astrakharchik , J. Boronat , J. Casulleras , S. Giorgini

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

A spin-wave approach of the zero temperature superfluid-insulator transition for two-dimensional hard-core bosons in a random potential $\mu=\pm$ W is developed. While at the classical level there is no intervening phase between the…

Strongly Correlated Electrons · Physics 2013-10-21 Juan Pablo Álvarez Zúñiga , Nicolas Laflorencie

We study one dimensional disordered bosons at large commensurate filling. Using a real space renormalization group approach we find a new random fixed point which controls a phase transition from a superfluid to an incompressible…

Disordered Systems and Neural Networks · Physics 2007-05-23 Ehud Altman , Yariv Kafri , Anatoli Polkovnikov , Gil Refael

The impact of a random disorder potential on the dynamical properties of Bose Einstein condensates is a very wide research field. In microcavities, these studies are even more crucial than in the condensates of cold atoms, since random…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 G. Malpuech , D. Solnyshkov

We investigate the superfluidity and the coherence in dipolar binary Bose mixtures using the hydrodynamic approach. Useful analytical formulas for the excitations spectrum, the correlation function, the static structure factor, and the…

Quantum Gases · Physics 2020-11-11 Abdelaali Boudjemaa

We present a phase diagram of Bose-Hubbard model with on-site chemical potential disorder at two dimensions within the scope of mean-field theory. The phase diagram in the disorder strength ($\Delta$) and the on-site repulsion ($U$) for…

Quantum Gases · Physics 2025-08-08 Manjari Gupta

We consider a mixture of a superfluid Fermi gas of ultracold atoms and a Bose-Einstein condensate of molecules possessing a continuous U(1) (relative phase) symmetry. We study the effects that a spatially random…

Disordered Systems and Neural Networks · Physics 2015-05-13 Armand Niederberger , Jan Wehr , Maciej Lewenstein , Krzysztof Sacha

The influence of a weak random potential on the collective modes of a trapped interacting Bose-Einstein condensate at zero temperature is calculated in the limit when the correlation length of the disorder is smaller than the healing length…

Other Condensed Matter · Physics 2010-02-05 G. M. Falco , A. Pelster , R. Graham

We derive several upper bounds for the superfluid stiffness $D_s$ for Bose and Fermi systems in terms of expectation values of local operators using linear response theory and variational methods. These give insight into the non-trivial…

Superconductivity · Physics 2009-10-31 Arun Paramekanti , Nandini Trivedi , Mohit Randeria

We discuss the effects of quenched disorder in a dilute Bose-Einstein condensate confined in a hard walls trap. Starting from the disordered Gross-Pitaevskii functional, we obtain a representation for the quenched free energy as a series of…

Statistical Mechanics · Physics 2020-01-08 R. Acosta-Diaz , C. A. D. Zarro , G. Krein , A. Saldivar , N. F. Svaiter

We propose and analyze a general mechanism of disorder-induced order in two-component Bose-Einstein condensates, analogous to corresponding effects established for XY spin models. We show that a random Raman coupling induces a relative…

We present numerical evidence from Monte Carlo simulations that the superfluid-insulator quantum phase transition of interacting bosons subject to strong disorder in one dimension is controlled by the strong-randomness critical point. At…

Disordered Systems and Neural Networks · Physics 2013-12-04 Susanne Pielawa , Ehud Altman

We study the effects of bond and site disorder in the classical $J_{1}$-$J_{2}$ Heisenberg model on a square lattice in the order-by-disorder frustrated regime $2J_{2}>\left|J_{1}\right|$. Combining symmetry arguments, numerical energy…

Strongly Correlated Electrons · Physics 2021-08-20 Michel M. J. Miranda , Igor C. Almeida , Eric C. Andrade , José A. Hoyos

We introduce a new renormalization group theory to examine the quantum phase transitions upon exiting the insulating phase of a disordered, strongly interacting boson system. For weak disorder we find a direct transition from this Mott…

Condensed Matter · Physics 2009-10-30 Ferenc Pazmandi , Gergely T. Zimanyi

We investigate the combined effects of weak disorder and a two-dimensional (2D) optical lattice on the collective excitations of a harmonically trapped Bose-Einstein condensate (BEC) at zero temperature. Accordingly, we generalize the…

Quantum Gases · Physics 2015-05-18 Ying Hu , Zhaoxin Liang , Bambi Hu

In an equilibrium three-dimensional (3D) disordered condensate, it's well established that disorder can generate an amount of normal fluid equaling to $\frac{4}{3}$ of the condensate depletion. The concept that the superfluid is more…

Quantum Gases · Physics 2014-12-01 Lei Chen , Zhaoxin Liang , Ying Hu , Zhidong Zhang

We systematically investigate the properties of the quenched disorder potential in an atomic waveguide, and study its effects to the dynamics of condensate in the strong disorder region. We show that even very small wire shape fluctuations…

Other Condensed Matter · Physics 2007-05-23 Daw-Wei Wang

We show that in the regime when strong disorder is more relevant than field quantization the superfluid--to--Bose-glass criticality of one-dimensional bosons is preceded by the prolonged logarithmically slow classical-field renormalization…

Disordered Systems and Neural Networks · Physics 2015-06-15 L. Pollet , N. V. Prokof'ev , B. V. Svistunov

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
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