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For systems of interacting, ultracold spin-zero neutral bosonic atoms, harmonically trapped and subject to an optical lattice potential, we derive an Extended Bose Hubbard (EBH) model by developing a systematic expansion for the Hamiltonian…

Other Condensed Matter · Physics 2007-05-23 G. Mazzarella , S. M. Giampaolo , F. Illuminati

We investigate the temperature-dependent behavior emerging in the vicinity of the superfluid (SF) to Mott-insulator (MI) transition of interacting bosons in a two-dimensional optical lattice, described by the Bose-Hubbard model. The…

Quantum Gases · Physics 2022-03-03 Ulli Pohl , Sayak Ray , Johann Kroha

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 study the evolution from the weak coupling (BCS-like limit) to the strong coupling limit of tightly bound local pairs (LP's) with increasing attraction, in the presence of the Zeeman magnetic field ($h$) for $d=2$, within the…

Strongly Correlated Electrons · Physics 2015-06-17 Agnieszka Kujawa-Cichy , Roman Micnas

We study the quasi-two-dimensional Bose gas in harmonic traps at temperatures above the Kosterlitz-Thouless transition, where the gas is in the normal phase. We show that mean-field theory takes into account the dominant interaction effects…

Quantum Gases · Physics 2013-05-29 Markus Holzmann , Maguelonne Chevallier , Werner Krauth

We study the dynamical properties of a few bosons confined in an one-dimensional split hard wall trap with the interaction strength varying from the weakly to strongly repulsive regime. The system is initially prepared in one side of the…

Quantum Gases · Physics 2012-08-02 Hongli Guo , Xiangguo Yin , Shu Chen

We analyze the Bose-Hubbard model of hardcore bosons with nearest neighbor hopping and repulsive interactions on a star lattice using both quantum Monte Carlo simulation and dual vortex theory. We obtain the phase diagram of this model as a…

Strongly Correlated Electrons · Physics 2009-12-16 Sergei V. Isakov , K. Sengupta , Yong Baek Kim

We study systematically an extended Bose-Hubbard model on the triangular lattice by means of a meanfield method based on the Gutzwiller ansatz. Pair hopping terms are explicitly included and a three-body constraint is applied. The…

Quantum Gases · Physics 2015-06-12 Yancheng Wang , Wanzhou Zhang , Hui Shao , Wenan Guo

We study a linear ramp of the nearest-neighbor tunneling rate in the Bose-Hubbard model driving the system from the Mott insulator state into the superfluid phase. We employ the truncated Wigner approximation to simulate linear quenches of…

Quantum Gases · Physics 2012-10-23 Jacek Dziarmaga , Marek Tylutki , Wojciech H. Zurek

We construct the effective lowest-band Bose-Hubbard model incorporating interaction-induced on-site correlations. The model is based on ladder operators for local correlated states, which deviate from the usual Wannier creation and…

Quantum Gases · Physics 2016-11-25 U. Bissbort , F. Deuretzbacher , W. Hofstetter

Ultracold gases are a versatile platform to simulate condensed matter physics, as virtually any parameter is experimentally tunable. In particular, highly anisotropic traps allow the realization of low-dimensional systems, where the role of…

Quantum Gases · Physics 2017-12-18 Guillaume Lang

Quantum gas systems are ideal analog quantum simulation platforms for tackling some of the most challenging problems in strongly correlated quantum matter. However, they also expose the urgent need for new theoretical frameworks. Simple…

Quantum Gases · Physics 2022-12-29 K. Çeven , M. Ö. Oktel , A. Keleş

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 strong coupling limit of the extended Hubbard model in two dimensions. The model consists of hopping, on-site interaction, nearest-neighbor interaction, spin-orbit coupling and Zeeman spin splitting. While the study of this…

Strongly Correlated Electrons · Physics 2014-02-18 Aaron Farrell , T. Pereg-Barnea

In a Fermi system near or at half-filling, a specific superconducting pairing channel, if not explicitly included in the Hamiltonian, can be boosted by suppressing a competing pairing channel; this is exemplified by the enhancement of…

Strongly Correlated Electrons · Physics 2026-01-14 Shuyi Li , Cheng Peng , Yue Yu , B. Sriram Shastry , Chunjing Jia

We use state-of-the-art density matrix renormalization group calculations in the canonical ensemble to determine the phase diagram of the dipolar Bose-Hubbard model on a finite cylinder. We consider several observables that are accessible…

Quantum Gases · Physics 2020-01-14 Paolo Rosson , Martin Kiffner , Jordi Mur-Petit , Dieter Jaksch

We consider a generalized Hubbard model with on-site and nearest-neighbour repulsions U and V respectively, and nearest-neighbour hopping for spin up (down) which depends on the total occupation n_b of spin down (up) electrons on both sites…

Strongly Correlated Electrons · Physics 2009-10-31 A. A. Aligia , E. Gagliano , Liliana Arrachea , K. Hallberg

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 show that correlated pair tunneling drives a phase transition to a twisted superfluid with a complex order parameter. This unconventional superfluid phase spontaneously breaks the time-reversal symmetry and is characterized by a twisting…

Quantum Gases · Physics 2015-11-10 Ole Jürgensen , Klaus Sengstock , Dirk-Sören Lühmann

We show that the critical point of the two-dimensional Bose-Hubbard model can be easily found through studies of either on-site atom number fluctuations or the nearest-neighbor two-point correlation function (the expectation value of the…

Quantum Gases · Physics 2016-12-05 Mateusz Łącki , Bogdan Damski , Jakub Zakrzewski