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We revisit here the Kibble-Zurek mechanism for superfluid bosons slowly driven across the transition towards the Mott-insulating phase. By means of a combination of the Time-Dependent Variational Principle and a Tree-Tensor Network, we…

We study the square-lattice Bose-Hubbard model with bounded random on-site energies at zero temperature. Starting from a dual representation obtained from a strong-coupling expansion around the atomic limit, we employ a real-space block…

Disordered Systems and Neural Networks · Physics 2013-12-17 Anthony Hegg , Frank Krüger , Philip W. Phillips

We investigate two-dimensional Bose system with the long range interactions in the presence of disorder. Formation of the bound states at strong impurity sites gives rise to an additional depletion of the superfluid density. We demonstrate…

Superconductivity · Physics 2009-11-10 A. V. Lopatin , V. M. Vinokur

In this paper, we study the dynamics of the Bose-Hubbard model by using time-dependent Gutzwiller methods. In particular, we vary the parameters in the Hamiltonian as a function of time, and investigate the temporal behavior of the system…

Quantum Gases · Physics 2018-04-04 Keita Shimizu , Yoshihito Kuno , Takahiro Hirano , Ikuo Ichinose

We study theoretically a BEC loaded into an optical lattice in the tight-binding regime, with a second, weak incommensurate lattice acting as a perturbation. We find, using direct diagonalization of small systems and a large scale, number…

Disordered Systems and Neural Networks · Physics 2007-05-23 Nir Bar-Gill , Rami Pugatch , Eitan Rowen , Nadav Katz , Nir Davidson

We study quantum fluctuation driven first-order phase transitions of a two-species bosonic system in a three-dimensional optical lattice. Using effective potential method we find that the superfluid-Mott insulator phase transition of one…

Quantum Gases · Physics 2015-07-09 Boyang Liu , Jiangping Hu

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 investigate the time evolution of correlations in the Bose-Hubbard model following a quench from the superfluid to the Mott insulating phase. For large values of the final interaction strength the system approaches a distinctly…

Other Condensed Matter · Physics 2007-05-23 Corinna Kollath , Andreas Laeuchli , Ehud Altman

The introduction of disorder in Bose-Hubbard model gives rise to new glassy quantum phases, namely the Bose-glass (BG) and disordered solid (DS) phases. In this work, we present the rich phase diagram of interacting bosons in disordered…

Quantum Gases · Physics 2025-05-08 Kohenjit Pebam , Laxmi Angom , Bhumika Thoudam , Momin Hrangbung , Deepak Gaur , Dilip Angom

We study the interplay of superfluidity, glassy and magnetic orders of hardcore bosons with random frustrating interactions. In the classical limit, this model reduces to a $\pm J$ Edwards-Anderson Ising model with concentration $p$ of the…

Disordered Systems and Neural Networks · Physics 2012-10-16 Derek Larson , Ying-Jer Kao

Dissipation is ubiquitous in nature and plays a crucial role in quantum systems such as causing decoherence of quantum states. Recently, much attention has been paid to an intriguing possibility of dissipation as an efficient tool for…

Quantum Gases · Physics 2017-12-29 Takafumi Tomita , Shuta Nakajima , Ippei Danshita , Yosuke Takasu , Yoshiro Takahashi

We study the nature of the zero-temperature phase transition between a d-wave superconductor and a Mott insulator in two dimensions. In this ``quantum confinement transition'', spin and charge are confined to form the electron in the Mott…

Strongly Correlated Electrons · Physics 2009-10-31 C. Lannert , Matthew P. A. Fisher , T. Senthil

In this work we systematically investigate the condensate properties, superfluid properties and quantum phase transitions in interacting Bose gases trapped in disordered optical potentials. We numerically solve the Bose-Hubbard Hamiltonian…

Disordered Systems and Neural Networks · Physics 2009-11-11 Pearl J. Y. Louis , Makoto Tsubota

In this paper, the quantum phase transition between superfluid state and Mott-insulator state is studied based on an extended Bose-Hubbard model with two- and three-body on-site interactions. By employing the mean-field approximation we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Bo-Lun Chen , Xiao-Bin Huang , Su-Peng Kou , Yunbo Zhang

The extended Bose-Hubbard model with correlated tunneling exhibits staggered superfluid and supersolid quantum phases. We study finite-temperature phase transitions of quantum phases of dipolar bosons in a two-dimensional optical lattice…

Quantum Gases · Physics 2022-12-21 Kuldeep Suthar , Kwai-Kong Ng

A key aspect of ultracold bosonic quantum gases in deep optical lattice potential wells is the realization of the strongly interacting Mott insulating phase. Many characteristics of this phase are well understood, however little is known…

Quantum Gases · Physics 2023-06-27 R. S. Souza , Axel Pelster , F. E. A. dos Santos

We employ large-scale Monte Carlo simulations to study a particle-hole symmetric site-diluted quantum rotor model in two dimensions. The ground state phase diagram of this system features two distinct quantum phase transitions between the…

Quantum Gases · Physics 2017-11-15 Martin Puschmann , Thomas Vojta

We study ground-state quantum entanglement in the one-dimensional Bose-Hubbard model in the presence of a harmonic trap. We focus on two transitions that occur upon increasing the characteristic particle density: the formation of a…

Statistical Mechanics · Physics 2019-12-20 Yicheng Zhang , Lev Vidmar , Marcos Rigol

An ultra cold atomic Bose gas in an optical lattice is shown to provide an ideal system for the controlled analysis of disordered Bose lattice gases. This goal may be easily achieved under the current experimental conditions, by introducing…

Soft Condensed Matter · Physics 2009-11-10 B. Damski , J. Zakrzewski , L. Santos , P. Zoller , M. Lewenstein

We report results of quantum Monte Carlo simulations of the Bose-Hubbard model in three dimensions. Critical parameters for the superfluid-to-Mott-insulator transition are determined with significantly higher accuracy than it has been done…

Other Condensed Matter · Physics 2007-07-12 B. Capogrosso-Sansone , N. V. Prokof'ev , B. V. Svistunov