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The Bose-Hubbard model effectively describes bosons on a lattice with on-site interactions and nearest-neighbour hopping, serving as a foundational framework for understanding strong particle interactions and the superfluid to Mott…

Mathematical Physics · Physics 2025-03-19 Shahnaz Farhat , Denis Périce , Sören Petrat

We determine the quantum ground state of dipolar bosons in a quasi-one-dimensional optical lattice and interacting via $s$-wave scattering. The Hamiltonian is an extended Bose-Hubbard model which includes hopping terms due to the…

Quantum Gases · Physics 2020-05-14 Rebecca Kraus , Krzysztof Biedroń , Jakub Zakrzewski , Giovanna Morigi

We study by means of first principle Quantum Monte Carlo simulations the ground state phase diagram of a system of dipolar bosons with aligned dipole moments, and with the inclusion of a two-body repulsive potential of varying range. The…

Quantum Gases · Physics 2020-01-28 Youssef Kora , Massimo Boninsegni

We investigate the ground state phase diagram of hard-core boson system with repulsive two-body and attractive three-body interactions in one-dimensional optic lattice. When these two interactions are comparable and increasing the hopping…

Statistical Mechanics · Physics 2015-07-23 Chen Cheng , Bin-Bin Mao , Fu-Zhou Chen , Hong-Gang Luo

We consider a periodic lattice loaded with pairs of bosonic atoms tightly bound to each other via strong attractive on-site interaction that exceeds the inter-site tunneling rate. An ensemble of such lattice-dimers is accurately described…

Statistical Mechanics · Physics 2013-05-29 Bernd Schmidt , Michael Bortz , Sebastian Eggert , Michael Fleischhauer , David Petrosyan

We combine model mapping, exact spectral bounds, and a quantum Monte Carlo method to study the ground state phases of a mixture of ultracold bosons and spin-polarized fermions in a one-dimensional optical lattice. The exact boundary of the…

Strongly Correlated Electrons · Physics 2007-05-23 Pinaki Sengupta , Leonid P. Pryadko

We study various properties of bosons in two dimensions interacting only via onsite hardcore repulsion. In particular, we use the lattice spin-wave approximation to calculate the ground state energy, the density, the condensate density and…

Superconductivity · Physics 2007-05-23 K. Bernardet , G. G. Batrouni , J. -L. Meunier , G. Schmid , M. Troyer , A. Dorneich

In this paper, we study phase structure of a system of hard-core bosons with a nearest-neighbor (NN) repulsive interaction in a stacked triangular lattice. Hamiltonian of the system contains two parameters one of which is the hopping…

Quantum Physics · Physics 2015-06-04 H. Ozawa , I. Ichinose

Quantum phases of ultracold bosons with repulsive interactions in lattices in the presence of quenched disorder are investigated. The disorder is assumed to be caused by the interaction of the bosons with impurity atoms having a large…

Disordered Systems and Neural Networks · Physics 2008-06-27 K. V. Krutitsky , M. Thorwart , R. Egger , R. Graham

We consider a minimal model to investigate the quantum phases of hardcore, polarized dipolar atoms confined in multilayer optical lattices. The model is a variant of the extended Bose-Hubbard model, which incorporates intralayer repulsion…

Strongly interacting dipolar bosons in optical lattices exhibit diverse quantum phases that are rich in physics. As the strength of the long-range boson-boson interaction increases, the system transitions across different phases: from a…

Quantum Gases · Physics 2019-04-09 Budhaditya Chatterjee , Marios C. Tsatsos , Axel U. J. Lode

The concept of topological phases is a powerful framework to characterize ground states of quantum many-body systems that goes beyond the paradigm of symmetry breaking. While a few topological phases appear in condensed matter systems, a…

The ground-state phase properties of a two-dimensional Bose system with dipole-dipole interactions is studied by means of quantum Monte Carlo techniques. Limitations of mean-field theory in a two-dimensional geometry are discussed. A…

Other Condensed Matter · Physics 2017-08-23 G. E. Astrakharchik , J. Boronat , J. Casulleras , I. L. Kurbakov , Yu. E. Lozovik

We study the equilibrium and non-equilibrium properties of strongly interacting bosons on a lattice in presence of a random bounded disorder potential. Using a Gutzwiller projected variational technique, we study the equilibrium phase…

Quantum Gases · Physics 2015-06-11 Chien-Hung Lin , Rajdeep Sensarma , K. Sengupta , S. Das Sarma

The two dimensional square lattice hard-core boson Hubbard model with near neighbor interactions has a `checkerboard' charge density wave insulating phase at half-filling and sufficiently large intersite repulsion. When doped, rather than…

Strongly Correlated Electrons · Physics 2013-06-05 T. Ying , G. G. Batrouni , V. G. Rousseau , M. Jarrell , J. Moreno , X. D. Sun , R. T. Scalettar

We consider strongly interacting boson-boson mixtures on one-dimensional lattices and, by adopting a qualitative mean-field approach, investigate their quantum phases as the interspecies repulsion is increased. In particular, we analyze the…

Other Condensed Matter · Physics 2009-09-29 P. Buonsante , S. M. Giampaolo , F. Illuminati , V. Penna , A. Vezzani

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 numerically simulate strongly correlated ultracold bosons coupled to a high-finesse cavity field, pumped by a laser beam in the transverse direction. Assuming a weak classical optical lattice added in the cavity direction, we model this…

Quantum Gases · Physics 2013-05-23 Y. -Q. Li , L. He , W. Hofstetter

Non-standard Bose-Hubbard models can exhibit rich ground state phase diagrams, even when considering the one-dimensional limit. Using a self-consistent Gutzwiller diagonalisation approach, we study the mean-field ground state properties of…

Quantum Gases · Physics 2019-10-30 Dean Johnstone , Niclas Westerberg , Callum W. Duncan , Patrik Öhberg

We consider bosonic atoms loaded into optical lattices with cavity-mediated infinite-range interactions. Competing short- and global-range interactions cultivates a rich phase diagram. With a systematic field-theoretical perspective, we…

Quantum Gases · Physics 2018-01-24 Renyuan Liao , Huang-Jie Chen , Dong-Chen Zheng , Zhi-Gao Huang