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In quantum many-body system, dimensionality plays a critical role on type of the quantum phase transition. In order to study the quantum system during dimensional crossover, we studied the Bose-Hubbard model on cubic lattice with…

Quantum Gases · Physics 2020-08-05 Tao Wang , Xue-Feng Zhang

We investigate a quasi-one dimensional system of trapped cold bosonic atoms in an optical lattice by using the density matrix renormalization group to study the Bose-Hubbard model at T=0 for experimentally realistic numbers of lattice…

Strongly Correlated Electrons · Physics 2007-05-23 C. Kollath , U. Schollwöck , J. von Delft , W. Zwerger

The search and characterization of supersolid phases remain a central topic in condensed matter physics. Inspired by the experimental discovery of local superfluid and insulating phases in two-dimensional moir\'e optical lattices [Meng et…

Quantum Gases · Physics 2026-05-12 Siyu Xie , Qiang Xu , Qianqian Shi , Wanzhou Zhang

We study stability of superflow of Bose gases in optical lattices by analyzing the Bose-Hubbard model within the Gutzwiller mean-field approximation. We calculate the excitation spectra of the homogeneous Bose-Hubbard model at unit filling…

Quantum Gases · Physics 2013-05-30 Takuya Saito , Ippei Danshita , Takeshi Ozaki , Tetsuro Nikuni

We study the zero temperature superfluid-insulator transition for a two-dimensional model of interacting, lattice bosons in the presence of quenched disorder and particle-hole symmetry. We follow the approach of a recent series of papers by…

Disordered Systems and Neural Networks · Physics 2013-05-30 Shankar Iyer , David Pekker , Gil Refael

I argue that the system of interacting bosons at zero temperature and in random external potential possesses a simple critical point which describes the proliferation of disorder-induced topological defects in the superfluid ground state,…

Superconductivity · Physics 2009-10-31 Igor F. Herbut

Finite size scalings of the momentum distribution and noise correlations are performed to study Mott insulator, Bose glass, and superfluid quantum phases in hard-core bosons (HCBs) subjected to quasi-periodic disorder. The exponents of the…

Quantum Gases · Physics 2012-07-13 Kai He , Indubala I. Satija , Charles W. Clark , Ana Maria Rey , Marcos Rigol

We present an approximation scheme to solve the Non Perturbative Renormalization Group equations and obtain the full momentum dependence of the $n$-point functions. It is based on an iterative procedure where, in a first step, an initial…

High Energy Physics - Theory · Physics 2008-11-26 J. P. Blaizot , R. Mendez-Galain , N. Wschebor

We study a system of strongly correlated bosons with off-diagonal disorder, i.e., randomness in the kinetic energy, and find a family of reentrant phase transitions that occur as a function of the on-site interaction. We model the system…

Disordered Systems and Neural Networks · Physics 2026-03-24 Anna M. Piekarska , Tadeusz K. Kopeć

We use state-of-the-art density matrix renormalization group calculations in the canonical ensemble to determine the phase diagram of the dipolar Bose-Hubbard model on a finite cylinder. We consider several observables that are accessible…

Quantum Gases · Physics 2020-01-14 Paolo Rosson , Martin Kiffner , Jordi Mur-Petit , Dieter Jaksch

We investigate the instabilities of the Mott-insulating phase of the weakly disordered Bose-Hubbard model within a renormalization group analysis of the replica field theory obtained by a strong-coupling expansion around the atomic limit.…

Disordered Systems and Neural Networks · Physics 2013-05-29 Frank Krüger , Seungmin Hong , Philip Phillips

We study the Bose-Hubbard model in the presence of on-site disorder in the canonical ensemble and conclude that the local density of the Bose glass phase behaves differently at incommensurate filling than it does at commensurate one.…

Disordered Systems and Neural Networks · Physics 2018-12-05 K. Hettiarachchilage , C. Moore , V. G. Rousseau , K. -M. Tam , M. Jarrell , J. Moreno

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

We investigate the Bose glass phase and the insulator-to-superfluid transition in the two-dimensional disordered boson Hubbard model in the Villain representation via Monte Carlo simulations. In the Bose glass phase the probability…

Superconductivity · Physics 2015-06-25 J. Kisker , H. Rieger

We introduce a new numerical method for the solution of self-consistent equations in the cluster mean-field theory. The method uses the density matrix renormalization group method to solve the associated cluster problem. We obtain an…

Quantum Gases · Physics 2014-11-10 Ryota Suzuki , Akihisa Koga

We present a comprehensive analysis of quantum fluctuation effects in the superfluid ground state of an attractively interacting Fermi system, employing the attractive Hubbard model as a prototype. The superfluid order parameter, and…

Strongly Correlated Electrons · Physics 2009-04-03 P. Strack , R. Gersch , W. Metzner

We study the one-dimensional Bose-Hubbard model using the Density-Matrix Renormalization Group (DMRG).For the cases of on-site interactions and additional nearest-neighbor interactions the phase boundaries of the Mott-insulators and charge…

Superconductivity · Physics 2009-10-31 Till D. Kuehner , Steven R. White , H. Monien

We present an unbiased numerical density-matrix renormalization group study of the one-dimensional Bose-Hubbard model supplemented by nearest-neighbor Coulomb interaction and bond dimerization. It places the emphasis on the determination of…

Quantum Gases · Physics 2019-01-30 Koudai Sugimoto , Satoshi Ejima , Florian Lange , Holger Fehske

We study various properties of an ultracold two-dimensional (2D) Bose gas that are beyond a mean-field description. We first derive the effective interaction for such a system as realized in current experiments, which requires the use of an…

Statistical Mechanics · Physics 2009-11-13 Lih-King Lim , C. Morais Smith , H. T. C. Stoof

A quantum field model that incorporates Bose-condensed systems near their phase transition into a superfluid phase and velocity fluctuations is proposed. The stochastic Navier-Stokes equation is used for a generation of the velocity…

Statistical Mechanics · Physics 2016-01-13 M. Dančo , M. Hnatič , M. V. Komarova , T. Lučivjanský , M. Yu. Nalimov