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We analyze the effects of disorder and quasi-disorder on the ground-state properties of ultra-cold polar bosons in optical lattices. We show that the interplay between disorder and inter-site interactions leads to rich phase diagrams. A…

Quantum Gases · Physics 2013-10-02 Xiaolong Deng , Roberta Citro , Edmond Orignac , Anna Minguzzi , Luis Santos

We derive the equation of state of bosons in an optical lattice in the framework of the Bose-Hubbard model. Near the density-driven Mott transition, the expression of the pressure P({\mu},T) versus chemical potential and temperature is…

Quantum Gases · Physics 2012-03-07 A. Rancon , N. Dupuis

Modern experimental platforms such as supercoducting-circuit arrays call for the exploration of bosonic tight-binding models in unconventional situations with no counterpart in real materials. Here we investigate one of such situations, in…

Quantum Gases · Physics 2020-09-16 Zijian Wang , Carlos Navarrete-Benlloch , Zi Cai

Both mixtures of atomic Bose-Einstein condensates and systems with atoms trapped in optical lattices have been intensely explored theoretically, mainly due to the exceptional developments on the experimental side. We investigate the…

Quantum Gases · Physics 2018-02-28 R. H. Chaviguri , T. Comparin , M. Di Liberto , M. A. Caracanhas

We study the dynamics of Bose-Einstein condensates flowing in optical lattices on the basis of quantum field theory. For such a system, a Bose-Einstein condensate shows a unstable behavior which is called the dynamical instability. The…

Other Condensed Matter · Physics 2009-11-13 K. Kobayashi , M. Mine , M. Okumura , Y. Yamanaka

Ultracold bosonic atoms in optical lattices self-organize into a variety of structural and quantum phases when placed into a single-mode cavity and pumped by a laser. Cavity optomechanical effects induce an atom density modulation at the…

Quantum Gases · Physics 2016-09-14 Astrid E. Niederle , Giovanna Morigi , Heiko Rieger

We theoretically study how the superfluid and condensate deformation of a weakly interacting ultracold Bose gas evolve during the ramp-up of an external weak disorder potential. Both resulting deformations turn out to consist of two…

Quantum Gases · Physics 2026-01-21 Rodrigo P. A. Lima , Milan Radonjić , Axel Pelster

We study the non-equilibrium quench dynamics crossing a continuous phase transition between the charge density wave (CDW) and supersolid (SS) phases of a bosonic lattice gas with cavity-mediated interactions. When changing the hopping…

Quantum Gases · Physics 2022-09-27 Huan Wang , Xiayao He , Shuai Li , Hongrong Li , Bo Liu

We analyze the dynamical and energetic instabilities of spin currents in a system of two-component bosons in an optical lattice, with a particular focus on the Neel state. We consider both the weakly interacting superfluid and the strongly…

Quantum Gases · Physics 2015-03-19 Hoi-Yin Hui , Ryan Barnett , Rajdeep Sensarma , S. Das Sarma

Motivated by the recent experiment on the Bose-Einstein condensation of $^{52}$Cr atoms with long-range dipolar interactions (Werner J. et al., Phys. Rev. Lett., 94 (2005) 183201), we consider a system of bosons with repulsive nearest and…

Statistical Mechanics · Physics 2007-05-23 Dmitry L. Kovrizhin , G. Venketeswara Pai , Subhasis Sinha

We study ground-state phase diagrams and excitation spectra of Bose-Bose mixtures in an optical lattice by applying the Gutzwiller approximation to the two-component Bose-Hubbard model. A case of equal hoppings and equal intra-component…

Quantum Gases · Physics 2012-10-05 Takeshi Ozaki , Ippei Danshita , Tetsuro Nikuni

Stemming from the Heisenberg equations of motion, we study the time-evolution stability of the order parameters for the cold atoms on optical lattices. The requirement of this stability of the order parameters endows the phase diagram with…

Soft Condensed Matter · Physics 2007-05-23 Yue Yu

We study a gas of repulsively interacting bosons in an optical lattice and explore the physics beyond the lowest band Hubbard model. Utilizing a generalized Gutzwiller ansatz, we find how the lowest band physics is modified by the inclusion…

Other Condensed Matter · Physics 2013-05-29 J. Larson , A. Collin , J. -P. Martikainen

We consider one-dimensional, interacting spinless bosons on a tight-binding lattice described by the Bose-Hubbard model. Besides attractive on-site two-body interactions, we include a three-body repulsive term such that the competition…

Quantum Gases · Physics 2025-02-17 Daniel Pérez-Cruz , Manuel Valiente

Spectral excitations of ultracold gases of bosonic atoms trapped in one dimensional optical lattices with disorder are investigated by means of the variational cluster approach applied to the Bose-Hubbard model. In particular, qualitatively…

Quantum Gases · Physics 2010-11-25 Michael Knap , Enrico Arrigoni , Wolfgang von der Linden

We develop a projection operator formalism for studying both the zero temperature equilibrium phase diagram and the non-equilibrium dynamics of the Bose-Hubbard model. Our work, which constitutes an extension of Phys. Rev. Lett. {\bf 106},…

Strongly Correlated Electrons · Physics 2015-06-03 Anirban Dutta , C. Trefzger , K. Sengupta

We study a bosonic version of the Kondo lattice model with an on-site repulsion in the conduction band, implemented with alkali atoms in two bands of an optical lattice. Using both weak and strong-coupling perturbation theory, we find that…

Quantum Gases · Physics 2012-07-24 Michael Foss-Feig , Ana Maria Rey

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

We study the equilibrium properties of the one-dimensional disordered Bose-Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid…

Disordered Systems and Neural Networks · Physics 2016-01-27 Matthias Gerster , Matteo Rizzi , Ferdinand Tschirsich , Pietro Silvi , Rosario Fazio , Simone Montangero

We investigate a quasi-one dimensional system of trapped cold bosonic atoms in an optical lattice by using the density matrix renormalization group to study the Bose-Hubbard model at T=0 for experimentally realistic numbers of lattice…

Strongly Correlated Electrons · Physics 2007-05-23 C. Kollath , U. Schollwöck , J. von Delft , W. Zwerger