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We study phase diagrams of one-dimensional bosons with contact interactions in the presence of a lattice. We use the worm algorithm in continuous space and focus on the incommensurate superfluid Mott-insulator transition. Our results are…

Quantum Gases · Physics 2016-09-07 Wei Xu , Maxim Olshanii , Marcos Rigol

We study the dynamical response of the half-filled one-dimensional(1d) Hubbard model for a range of interaction strengths $U$ and temperatures $T$ by a combination of numerical and analytical techniques. Using time-dependent density matrix…

Strongly Correlated Electrons · Physics 2018-02-07 Alberto Nocera , Fabian H. L. Essler , Adrian E. Feiguin

The dynamical correlated properties of one-dimensional (1D) Bose gases provide profound understanding of novel physics emergent from collective excitations, for instance, the breakdown of off-diagonal long-range order, and the establishment…

Quantum Gases · Physics 2025-03-11 Song Cheng , Yang-Yang Chen , Xi-Wen Guan , Wen-Li Yang , Hai-Qing Lin

Using the density matrix renormalization group method, we studied the ground state of the one-dimensional $S=1$ Bose-Hubbard model with local three-body interactions, which can be a superfluid or a Mott insulator state. We drew the phase…

Quantum Gases · Physics 2019-03-19 A. F. Hincapie-F , R. Franco , J. Silva-Valencia

At low energies the charge sector of one dimensional Mott insulators can be described in terms of a quantum Sine-Gordon model. Using exact results derived from integrability it is possible to determine dynamical properties like the…

Strongly Correlated Electrons · Physics 2007-05-23 Davide Controzzi , Fabian H. L. Essler , Alexei M. Tsvelik

We present results on the dynamical correlation functions of the particle-hole symmetric Holstein-Hubbard model at zero temperature, calculated using the dynamical mean field theory which is solved by the numerical renormalization group…

Strongly Correlated Electrons · Physics 2009-11-10 W. Koller , D. Meyer , A. C. Hewson

We calculate the dynamic single-particle and many-particle correlation functions at non-zero temperature in one-dimensional trapped repulsive Bose gases. The decay for increasing distance between the points of these correlation functions is…

Statistical Mechanics · Physics 2009-11-10 N. M. Bogoliubov , R. K. Bullough , C. Malyshev , J. Timonen

To analyze the ground-state phase diagram of Bose-Bose mixtures loaded into $d$-dimensional hypercubic optical lattices, we perform a strong-coupling power-series expansion in the kinetic energy term (plus a scaling analysis) for the…

Quantum Gases · Physics 2015-05-14 M. Iskin

The ground-state correlation functions of a one-dimensional homogeneous Bose system described by the Lieb-Liniger Hamiltonian are investigated by using exact quantum Monte Carlo techniques. This article is an extension of a previous study…

Other Condensed Matter · Physics 2009-11-11 G. E. Astrakharchik , S. Giorgini

Combination of the finite-temperature density-matrix renormalization-group and the maximum entropy presents a new method to calculate dynamic quantities of one-dimensional many-body systems. In the present paper, density of states, local…

Strongly Correlated Electrons · Physics 2009-10-31 Tetsuya Mutou , Naokazu Shibata , Kazuo Ueda

Exactly solved models provide rigorous understanding of many-body phenomena in strongly correlated systems. In this article, we report a breakthrough in uncovering universal many-body correlated properties of quantum integrable Lieb-Liniger…

Quantum Gases · Physics 2025-09-24 Song Cheng , Yang-Yang Chen , Xi-Wen Guan , Wen-Li Yang , Rubem Mondaini , Hai-Qing Lin

We present a large-scale combinatorial-diagrammatic computation of high-order contributions to the strong-coupling Kato-Takahashi perturbation series for the Hubbard model in high dimensions. The ground-state energy of the Mott-insulating…

Strongly Correlated Electrons · Physics 2014-12-31 Martin Paech , Walter Apel , Eva Kalinowski , Eric Jeckelmann

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

We investigate the response to superlattice modulation of a bosonic quantum gas confined to arrays of tubes emulating the one-dimensional Bose-Hubbard model. We demonstrate, using both time-dependent density matrix renormalization group and…

Quantum Gases · Physics 2018-09-19 Karla Loida , Jean-Sebastien Bernier , Roberta Citro , Edmond Orignac , Corinna Kollath

We study the expansion of a one-dimensional boson gas by suddenly increasing the length of the chain where it resides. We consider three initial ground-state configurations: the Mott insulator, the conventional superfluid clumped around…

Quantum Gases · Physics 2022-05-31 E. B. Molinero , C. E. Creffield , F. Sols

The collective excitations in the Bose-Hubbard model in a trap are studied by means of numerical diagonalization in one dimension. The strength function is calculated for monopole and dipole perturbations, and moments of the strength…

Other Condensed Matter · Physics 2009-11-10 Emil Lundh

We study the dynamics of tilted one-dimensional Bose-Hubbard model for two distinct protocols using numerical diagonalization for finite sized system ($N\le 18$). The first protocol involves periodic variation of the effective electric…

Strongly Correlated Electrons · Physics 2014-11-26 U. Divakaran , K. Sengupta

We study the superfluid-insulator transition in Bose-Hubbard models in one-, two-, and three-dimensional cubic lattices by means of a recently proposed variational wave function. In one dimension, the variational results agree with the…

Strongly Correlated Electrons · Physics 2009-11-13 Manuela Capello , Federico Becca , Michele Fabrizio , Sandro Sorella

Topological Kondo insulators are strongly correlated materials, where itinerant electrons hybridize with localized spins giving rise to a topologically non-trivial band structure. Here we use non-perturbative bosonization and…

Strongly Correlated Electrons · Physics 2015-06-03 Alejandro M. Lobos , Ariel O. Dobry , Victor Galitski

We study a simple model of interacting bosons on a d-dimensional cubic lattice whose dynamics conserves both total boson number and total boson dipole moment. This model provides a simple framework in which several remarkable consequences…

Quantum Gases · Physics 2022-09-14 Ethan Lake , Michael Hermele , T. Senthil