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We show that multi-orbital and density-induced tunneling have a significant impact on the phase diagram of bosonic atoms in optical lattices. Off-site interactions lead to density-induced hopping, the so-called bond-charge interactions,…

Quantum Gases · Physics 2012-03-27 D. -S. Lühmann , O. Jürgensen , K. Sengstock

We study the phase diagram of the one-dimensional boson gas trapped inside an optical lattice with contact and dipolar interaction taking into account next-nearest terms for both tunneling and interaction. Using the density matrix…

Quantum Gases · Physics 2018-06-06 Krzysztof Biedroń , Mateusz Łącki , Jakub Zakrzewski

We study the ground-state properties of ultracold bosons in an optical lattice in the regime of strong interactions. The system is described by a non-standard Bose-Hubbard model with both occupation-dependent tunneling and on-site…

Quantum Gases · Physics 2011-04-13 Omjyoti Dutta , Andre Eckardt , Philipp Hauke , Boris Malomed , Maciej Lewenstein

Motivated by a recent experiment that realizes nearest-neighbor dipolar couplings in an optical lattice [C. Lagoin, $\textit{et al.}$, Nature $\textbf{609}$, 485 (2022)], we study a one-dimensional version of the two-component extended…

Quantum Gases · Physics 2025-06-05 Saisai He , Yang Liu , Bin Xi , Hong-Gang Luo , Qiang Luo , Jize Zhao

We show that off-site processes and multi-orbital physics have a crucial impact on the phase diagram of quantum gas mixtures in optical lattices. In particular, we discuss Bose-Fermi mixtures where the intra- and interspecies interactions…

Quantum Gases · Physics 2014-09-11 Ole Jürgensen , Klaus Sengstock , Dirk-Sören Lühmann

Bosonic lattice systems with non-trivial interactions represent an intriguing platform to study exotic phases of matter. Here, we study the effects of extended correlated hopping processes in a system of bosons trapped in a lattice…

The Hubbard model underlies our understanding of strongly correlated materials. While its standard form only comprises interaction between particles at the same lattice site, its extension to encompass long-range interaction, which…

Quantum Gases · Physics 2016-04-22 S. Baier , M. J. Mark , D. Petter , K. Aikawa , L. Chomaz , Zi Cai , M. Baranov , P. Zoller , F. Ferlaino

The effect of the next-nearest-neighbor (nnn) tunneling on the hard-core extended Bose-Hubbard model on square lattices is investigated. By means of the cluster mean-field theory, the ground-state phase diagrams are determined. When a…

Quantum Gases · Physics 2017-11-08 Yung-Chung Chen , Min-Fong Yang

The extended Bose-Hubbard model with pure three-body local interactions is studied using the Density Matrix Renormalization Group approach. The shapes of the first two insulating lobes are discussed, and the values of the critical tunneling…

Quantum Gases · Physics 2019-09-19 Tomasz Sowiński

In this article the extended Bose-Hubbard model describing ultra-cold atoms confined in a shallow, one-dimensional optical lattice is introduced and studied by the exact diagonalization approach. All parameters of the model are related to…

Quantum Gases · Physics 2015-03-20 Tomasz Sowiński

Recent experiments with ultracold atoms in an optical lattice have realized cavity-mediated long-range interaction and observed the emergence of a supersolid phase and a density wave phase in addition to Mott insulator and superfluid…

Disordered Systems and Neural Networks · Physics 2020-11-03 Chao Zhang , Heiko Rieger

We study the extended Bose--Hubbard model describing an ultracold gas of dipolar molecules in an optical lattice, taking into account all on-site and nearest-neighbor interactions, including occupation-dependent tunneling and pair tunneling…

Quantum Gases · Physics 2013-04-10 Tomasz Sowiński , Omjyoti Dutta , Philipp Hauke , Luca Tagliacozzo , Maciej Lewenstein

We study the dynamics of phase transitions in the one dimensional Bose-Hubbard model. To drive the system from Mott insulator to superfluid phase, we change the tunneling frequency at a finite rate. We investigate the build up of…

Other Condensed Matter · Physics 2009-11-11 Fernando M. Cucchietti , Bogdan Damski , Jacek Dziarmaga , Wojciech H. Zurek

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 establish the full groundstate phase diagram of disordered Bose-Hubbard model in two-dimensions at unity filling factor via quantum Monte Carlo simulations. Similarly to the three-dimensional case we observe extended superfluid regions…

Other Condensed Matter · Physics 2015-05-28 Şebnem Güneş Söyler , Mikhail Kiselev , Nikolay V. Prokof'ev , Boris V. Svistunov

We develop a strong-coupling perturbation theory for the extended Bose-Hubbard model with on-site and nearest-neighbor boson-boson repulsions on ($d > 1$)-dimensional hypercubic lattices. Analytical expressions for the ground-state phase…

Strongly Correlated Electrons · Physics 2015-05-13 M. Iskin , J. K. Freericks

We study the quantum ground state of ultracold bosons in a two-dimensional square lattice. The bosons interact via the repulsive dipolar interactions and s-wave scattering. The dynamics is described by the extended Bose-Hubbard model…

We investigate the ground-state phase diagram of the soft-core Bose-Hubbard model with the nearest-neighbor repulsion on a square lattice by using an unbiased quantum Monte Carlo method. In contrast to the previous study[P. Sengupta {\it…

Quantum Gases · Physics 2012-08-29 Takahiro Ohgoe , Takafumi Suzuki , Naoki Kawashima

In one-dimensional systems a twisted superfluid phase is found which is induced by a spontaneous breaking of the time-reversal symmetry. Using the density-matrix renormalization group allows us to show that the excitation energy gap closes…

Quantum Gases · Physics 2016-07-22 Dirk-Sören Lühmann

We study a system with competing short- and global-range interactions in the framework of the Bose-Hubbard model. Using a mean-field approximation we obtain the phase diagram of the system and observe four different phases: a superfluid, a…

Quantum Gases · Physics 2016-10-04 N. Dogra , F. Brennecke , S. D. Huber , T. Donner
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