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We consider the correlations and superfluid properties of a Bose gas in an external potential. Using a Bogoliubov scheme, we obtain expressions for the correlation function and the superfluid density in an arbitrary external potential.…

Disordered Systems and Neural Networks · Physics 2011-08-16 Alberto Cetoli , Emil Lundh

In disordered spin systems with antiferromagnetic Heisenberg exchange, transitions into and out of a magnetic-field-induced ordered phase pass through a unique regime. Using quantum Monte Carlo simulations to study the zero-temperature…

Strongly Correlated Electrons · Physics 2009-11-11 Omid Nohadani , Stefan Wessel , Stephan Haas

Disorder, prevalent in nature, is intimately involved in such spectacular effects as the fractional quantum Hall effect and vortex pinning in type-II superconductors. Understanding the role of disorder is therefore of fundamental interest…

Atomic Physics · Physics 2009-11-13 M. White , M. Pasienski , D. McKay , S. Zhou , D. Ceperley , B. DeMarco

The dynamic response of ultracold Bose gases in one-dimensional optical lattices and superlattices is investigated based on exact numerical time evolutions in the framework of the Bose-Hubbard model. The system is excited by a temporal…

Statistical Mechanics · Physics 2007-05-23 M. Hild , F. Schmitt , R. Roth

An interesting first order type phase transition between Mott lobes has been reported in Phys. Rev. Lett. 109, 135302 (2012) for a two-dimensional Bose-Hubbard model in the presence of attractive three-body interaction. We re-visit the…

Quantum Gases · Physics 2018-08-22 Manpreet Singh , Sebastian Greschner , Tapan Mishra

Exploratory simulations of Bose-Fermi mixtures on the three-dimensional optical lattice at finite temperature are performed by adopting the lattice quantum chromodynamics technique. We analyze the bosonic superfluid transition and its…

Quantum Gases · Physics 2012-10-30 Arata Yamamoto , Tetsuo Hatsuda

We present a detailed Monte Carlo study of correlations in an interacting two-dimensional Bose gas. The data for one-particle density matrix in coordinate representation are compared to the results for the local many-particle density…

Condensed Matter · Physics 2007-05-23 Yu. Kagan , V. A. Kashurnikov , A. V. Krasavin , N. V. Prokof'ev , B. V. Svistunov

Quantum phases of ultracold bosons with repulsive interactions in lattices in the presence of quenched disorder are investigated. The disorder is assumed to be caused by the interaction of the bosons with impurity atoms having a large…

Disordered Systems and Neural Networks · Physics 2008-06-27 K. V. Krutitsky , M. Thorwart , R. Egger , R. Graham

The realization of Bose-Einstein condensation in ultracold trapped gases has led to a revival of interest in that fascinating quantum phenomenon. This experimental achievement necessitated both extremely low temperatures and sufficiently…

Quantum Gases · Physics 2021-02-22 Mihály Máté , Örs Legeza , Rolf Schilling , Mason Yousif , Christian Schilling

We analyze the effects of disorder and quasi-disorder on the ground-state properties of ultra-cold polar bosons in optical lattices. We show that the interplay between disorder and inter-site interactions leads to rich phase diagrams. A…

Quantum Gases · Physics 2013-10-02 Xiaolong Deng , Roberta Citro , Edmond Orignac , Anna Minguzzi , Luis Santos

A grand-canonical system of interacting bosons is considered to study phase transitions of ultracold atoms in an optical lattice. The phase diagram is discussed in terms of a matrix-like order parameter, representing a symmetric phase (Mott…

Statistical Mechanics · Physics 2007-05-23 K. Ziegler

We show that the Bose-glass phase of a one-dimensional disordered Bose fluid exhibits a chaotic behavior, i.e., an extreme sensitivity to external parameters. Using bosonization, the replica formalism and the nonperturbative functional…

Quantum Gases · Physics 2021-06-01 Romain Daviet , Nicolas Dupuis

We study numerically the low temperature behavior of a one-dimensional Bose gas trapped in an optical lattice. For a sufficient number of particles and weak repulsive interactions, we find a clear regime of temperatures where density…

Statistical Mechanics · Physics 2013-05-29 C. Gils , L. Pollet , A. Vernier , F. Hebert , G. G. Batrouni , M. Troyer

Using exact diagonalisation and Density Matrix Renormalisation group (DMRG) approach, we analyse the transition to a localised state of a weakly interacting quasi-1D Bose gas subjected to a quasiperiodic potential. The analysis is performed…

Mesoscale and Nanoscale Physics · Physics 2010-01-20 Xiaolong Deng , Roberta Citro , Anna Minguzzi , Edmond Orignac

We determine the phase diagram and the momentum distribution for a one-dimensional Bose gas with repulsive short range interactions in the presence of a two-color lattice potential, with incommensurate ratio among the respective wave…

Other Condensed Matter · Physics 2008-07-22 Xiaolong Deng , R. Citro , A. Minguzzi , E. Orignac

Ultracold bosonic atoms in optical lattices self-organize into a variety of structural and quantum phases when placed into a single-mode cavity and pumped by a laser. Cavity optomechanical effects induce an atom density modulation at the…

Quantum Gases · Physics 2016-09-14 Astrid E. Niederle , Giovanna Morigi , Heiko Rieger

We use quantum Monte Carlo (QMC) simulations to study the combined effects of harmonic confinement and temperature for bosons in a two dimensional optical lattice. The scale invariant, finite temperature, state diagram is presented for the…

Quantum Gases · Physics 2015-03-18 K. W. Mahmud , E. N. Duchon , Y. Kato , N. Kawashima , R. T. Scalettar , N. Trivedi

We study the phase transition of a gas of Rb atoms to quantum degeneracy in the combined potential of a harmonically confining magnetic trap and the periodic potential of an optical lattice. For high optical lattice potentials we observe a…

Condensed Matter · Physics 2009-05-28 S. Burger , F. S. Cataliotti , C. Fort , P. Maddaloni , F. Minardi , M. Inguscio

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 investigate the quantum phase diagram of Bose-Fermi mixtures of ultracold dipolar particles trapped in one-dimensional optical lattices in the thermodynamic limit. With the presence of nearest-neighbor (N.N.) interactions, a long-ranged…

Quantum Gases · Physics 2010-08-11 Bin Wang , Daw-Wei Wang , S. Das Sarma
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