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We have studied superfluid-Mott insulating transition of spin-1 bosons interacting antiferromagnetically in an optical lattice. We have obtained the zero-temperature phase diagram by a mean-field approximation and have found that the…

Soft Condensed Matter · Physics 2013-05-29 Shunji Tsuchiya , Susumu Kurihara , Takashi Kimura

The ground state of the quantum rotor model in two dimensions with random phase frustration is investigated. Extensive Monte Carlo simulations are performed on the corresponding (2+1)-dimensional classical model under the entropic sampling…

Superconductivity · Physics 2009-11-13 Lei-Han Tang , Qing-Hu Chen

We study the weakly disordered Bose-Hubbard model on a cubic lattice through a one-loop renormalization group analysis of the corresponding effective field theory which is explicitly derived by combining a strong-coupling expansion with a…

Quantum Gases · Physics 2015-05-13 Frank Krüger , Jiansheng Wu , Philip Phillips

The amplitude (Higgs) mode near the two-dimensional superfluid-Mott glass quantum phase transition is studied. We map the Bose-Hubbard Hamiltonian of disordered interacting bosons onto an equivalent classical XY model in (2+1) dimensions…

Disordered Systems and Neural Networks · Physics 2021-07-19 Jack Crewse , Thomas Vojta

We show that the nature of quantum phases around the superconductor-insulator transition (SIT) is controlled by charge-vortex topological interactions and does not depend on the details of material parameters and disorder. We find three…

Superconductivity · Physics 2018-10-17 M. Cristina Diamantini , Luca Gammaitoni , Carlo A. Trugenberger , Valerii M. Vinokur

The emergence of a compressible insulator phase, known as the Bose glass, is characteristic of the interplay of interactions and disorder in correlated Bose fluids. While widely studied in tight-binding models, its observation remains…

Quantum Gases · Physics 2020-08-13 Hepeng Yao , Thierry Giamarchi , Laurent Sanchez-Palencia

The influence of different types of disorder (both uncorrelated and correlated) on the superfluid properties of a weakly interacting or dilute Bose gas, as well as on the corresponding quantities for flux line liquids in high-temperature…

Superconductivity · Physics 2009-10-28 Uwe C. Täuber , David R. Nelson

We address computational issues relevant to the study of disordered quantum mechanical systems at very low temperatures. As an example we consider the disordered Bose- Hubbard model in three dimensions directly at the Bose-glass to…

Strongly Correlated Electrons · Physics 2007-05-23 Peter Hitchcock , Erik S. Sorensen

While insensitive to weak non magnetic disorder, an s-wave superconductor can be driven insulating by strong disorder. Using a scheme that captures the correct ground state, and fully retains thermal amplitude and phase fluctuations, we…

Superconductivity · Physics 2015-06-18 Sabyasachi Tarat , Pinaki Majumdar

A chain of Josephson junctions implements one of the simplest many-body models undergoing a superconductor-insulator (SI) quantum phase transition between states with zero and infinite resistance. Apart from zero resistance, the…

We present a nonperturbative renormalization-group approach to the Bose-Hubbard model. By taking as initial condition of the renormalization-group flow the (local) limit of decoupled sites, we take into account both local and long-distance…

Quantum Gases · Physics 2011-12-12 A. Rancon , N. Dupuis

We use the finite-size density-matrix-renormalization-group (FSDMRG) method to obtain the phase diagram of the one-dimensional ($d = 1$) extended Bose-Hubbard model for density $\rho = 1$ in the $U-V$ plane, where $U$ and $V$ are,…

Superconductivity · Physics 2009-11-10 Ramesh V. Pai , Rahul Pandit

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

Low temperature properties of harmonically confined two-dimensional assemblies of dipolar bosons are systematically investigated by Monte Carlo simulations. Calculations carried out for different numbers of particles and strengths of the…

Statistical Mechanics · Physics 2013-05-29 Piyush Jain , Fabio Cinti , Massimo Boninsegni

Quantum physics in one spatial dimension is remarkably rich, yet even with strong interactions and disorder, surprisingly tractable. This is due to the fact that the low-energy physics of nearly all one-dimensional systems can be cast in…

Superconductivity · Physics 2017-10-25 Karin Cedergren , Roger Ackroyd , Sergey Kafanov , Nicolas Vogt , Alexander Shnirman , Timothy Duty

The properties of systems with Bose-Einstein condensate in external time-independent random potentials are investigated in the frame of a self-consistent stochastic mean-field approximation. General considerations are presented, which are…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov , R. Graham

We experimentally studied the effect of positional disorder on a Josephson junction array with $f = n$, ${1/2} + n$, or ${2/5} + n$ flux quanta per unit cell for integral $n$. This system provides an experimental realization of a…

Superconductivity · Physics 2007-05-23 Young-Je Yun , In-Cheol Baek , Mu-Yong Choi

We study a disordered weakly-coupled superconductor around the Anderson transition by solving numerically the Bogoliubov-de Gennes (BdG) equations in a three dimensional lattice of size up to $20\times20\times20$ in the presence of a random…

Superconductivity · Physics 2020-11-18 Bo Fan , Antonio M. García-García

We analyze effects of a random magnetic potential in a microfabricated waveguide for ultra-cold atoms. We find that the shape and position fluctuations of a current carrying wire induce strongly disordered potential that is quasiperiodic…

Soft Condensed Matter · Physics 2009-11-10 Daw-Wei Wang , Mikhail D. Lukin , Eugene Demler

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