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We prove the absence of a direct quantum phase transition between a superfluid and a Mott insulator in a bosonic system with generic, bounded disorder. We also prove compressibility of the system on the superfluid--insulator critical line…

Statistical Mechanics · Physics 2015-05-13 L. Pollet , N. V. Prokof'ev , B. V. Svistunov , M. Troyer

We study the zero-temperature phase transition of a two-dimensional disordered boson Hubbard model. The phase diagram of this model is constructed in terms of the disorder strength and the chemical potential. Via quantum Monte Carlo…

Disordered Systems and Neural Networks · Physics 2009-11-07 Ji-Woo Lee , Min-Chul Cha , Doochul Kim

We investigate the superfluid-insulator transition of one-dimensional interacting Bosons in both deep and shallow periodic potentials. We compare a theoretical analysis based on Monte-Carlo simulations in continuum space and Luttinger…

Motivated by recent experiments [Y.J. Lin {\it et al.}, Nature {\bf 471}, 83 (2011)], we study Mott phases and superfluid-insulator (SI) transitions of two-species ultracold bosonic atoms in a two-dimensional square optical lattice with…

Strongly Correlated Electrons · Physics 2013-10-29 Saptarshi Mandal , Kush Saha , K. Sengupta

Analytic expression for the memory function and the optical conductivity of the two-dimensional Bose gas with logarithmic interaction at T = 0 in presence of point-like impurities is obtained within the mode-coupling approximation.…

Strongly Correlated Electrons · Physics 2009-11-11 E. V. Zenkov

Recent experiments on strongly-interacting bosons in optical lattices have revealed the co-existence of spatially-separated Mott-insulating and number-fluctuating phases. The description of this inhomogeneous situation is the topic of this…

Other Condensed Matter · Physics 2008-08-15 R. A. Barankov , C. Lannert , S. Vishveshwara

We use quantum Monte Carlo simulations to study the phase diagram of hard-core bosons with short-ranged {\it attractive} interactions, in the presence of uniform diagonal disorder. It is shown that moderate disorder stabilizes a glassy…

Disordered Systems and Neural Networks · Physics 2013-05-29 Long Dang , Massimo Boninsegni , Lode Pollet

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

We employ ultracold atoms with controllable disorder and interaction to study the paradigmatic problem of disordered bosons in the full disorder-interaction plane. Combining measurements of coherence, transport and excitation spectra, we…

The superfluid-Mott insulator transition of spin-2 boson atoms with repulsive interaction in an optical lattice in a magnetic field is presented. By using the mean field theory, Mott ground states and phase diagrams of superfluid-Mott…

Soft Condensed Matter · Physics 2009-11-10 Shuo Jin , Jing-Min Hou , Bing-Hao Xie , Li-Jun Tian , Mo-Lin Ge

We study Mott insulator - superfluid transition in a two-band boson Hubbard model, which can be mapped onto a spin-1/2 XY model with spins coupled to an additional Ising degree of freedom. By using a modified mean field theory that include…

Statistical Mechanics · Physics 2009-11-13 Huai-Bin Zhuang , Michael Ma , Xi Dai , Fu-Chun Zhang

We study the Bose-Hubbard model using the finite size density matrix renormalization group method. We obtain for the first time a complete phase diagram for a system in the presence of a harmonic trap and compare it with that of the…

Other Condensed Matter · Physics 2009-11-13 S. Ramanan , Tapan Mishra , Meetu Sethi Luthra , Ramesh V. Pai , B. P. Das

A two-dimensional system of atoms in an anisotropic optical lattice is studied theoretically. If the system is finite in one direction, it is shown to exhibit a transition between a two-dimensional superfluid and a one-dimensional Mott…

Other Condensed Matter · Physics 2009-11-13 Sara Bergkvist , Robert Saers , Emil Lundh , Anders Rosengren , Magnus Rehn , Anders Kastberg

By means of Monte Carlo techniques, we study the role of disorder on a system of hard-core bosons in a two-leg ladder with both intra-chain ($t$) and inter-chain ($t^\prime$) hoppings. We find that the phase diagram as a function of the…

Strongly Correlated Electrons · Physics 2015-05-27 Juan Carrasquilla , Federico Becca , Michele Fabrizio

The superfluid to insulator quantum phase transition of a three-dimensional particle-hole symmetric system of disordered bosons is studied. To this end, a site-diluted quantum rotor Hamiltonian is mapped onto a classical (3+1)-dimensional…

Quantum Gases · Physics 2018-10-25 Jack Crewse , Cameron Lerch , Thomas Vojta

We investigate the zero-temperature superfluid to insulator transitions in a diluted two-dimensional quantum rotor model with particle-hole symmetry. We map the Hamiltonian onto a classical $(2+1)$-dimensional XY model with columnar…

Quantum Gases · Physics 2016-10-04 Thomas Vojta , Jack Crewse , Martin Puschmann , Daniel Arovas , Yury Kiselev

We study a one-dimensional disordered quantum fluid with linearly confining interactions (disordered Schwinger model) using bosonization and the nonperturbative functional renormalization group. We find that the long-range interactions make…

Quantum Gases · Physics 2020-08-26 Nicolas Dupuis

We review the superfluid to Mott-insulator transition of cold atoms in optical lattices. The experimental signatures of the transition are discussed and the RPA theory of the Bose-Hubbard model briefly described. We point out that the…

Other Condensed Matter · Physics 2009-03-02 N. Dupuis , K. Sengupta

We study the Mott insulator-superfluid transition of ultracold bosonic atoms in a two-dimensional square optical lattice in the presence of a synthetic magnetic field with p/q (p and q being co-prime integers) flux quanta passing through…

Strongly Correlated Electrons · Physics 2015-05-18 S. Sinha , K. Sengupta

We study the superfluid-insulator transitions of bosons on the Kagome lattice at incommensurate filling factors f=1/2 and 2/3 using a duality analysis. We find that at f=1/2 the bosons will always be in a superfluid phase and demonstrate…

Strongly Correlated Electrons · Physics 2007-05-23 K. Sengupta , S. V. Isakov , Yong Baek Kim