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Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate theory of interacting bosons in optical lattices which…

Quantum Gases · Physics 2011-09-23 Dagim Tilahun , R. A. Duine , A. H. MacDonald

Understanding the stability of strongly correlated phases of matter when coupled to environmental degrees of freedom is crucial for identifying the conditions under which these states may be observed. Here, we focus on the paradigmatic…

Strongly Correlated Electrons · Physics 2023-11-15 Afonso L. S. Ribeiro , Paul McClarty , Pedro Ribeiro , Manuel Weber

We investigate the electronic phases of an effective Hubbard model on the body-centered-cubic lattice, motivated by alkali-doped fulleride molecular solids. The model incorporates renormalized on-site interactions and an effective inverted…

Strongly Correlated Electrons · Physics 2026-05-08 Theja N. De Silva

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 derive the phase diagram of the one-dimensional three-state Potts model with an additional mean-field interaction in the canonical ensemble. The free energy is obtained by mapping the model onto the spin-$1$ Blume-Emery-Griffiths model…

Statistical Mechanics · Physics 2026-02-24 Alessandro Campa , Vahan Hovhannisyan , Stefano Ruffo , Andrea Trombettoni

We study hard-core bosons on the checkerboard lattice with nearest neighbour unfrustrated hopping $t$ and `tetrahedral' plaquette charging energy $U$. Analytical arguments and Quantum Monte Carlo simulations lead us to the conclusion that…

Strongly Correlated Electrons · Physics 2009-11-13 Arnab Sen , Kedar Damle , T. Senthil

We present a joint experimental and theoretical analysis to assess the adiabatic experimental preparation of ultracold bosons in optical lattices aimed at simulating the three-dimensional Bose-Hubbard model. Thermometry of lattice gases is…

Quantum Gases · Physics 2021-02-03 Cécile Carcy , Gaétan Hercé , Antoine Tenart , Tommaso Roscilde , David Clément

We review our theoretical analysis of repulsively interacting three-component fermionic atoms in optical lattices. We discuss quantum phase transitions at around half filling with a balanced population by focusing on Mott transitions,…

Quantum Gases · Physics 2013-05-10 Kensuke Inaba , Sei-ichiro Suga

We theoretically address magnetic ordering at zero and finite temperature in both homogeneous and trapped Bose-Bose mixtures in optical lattices. By using Bosonic Dynamical Mean-Field Theory, we obtain the phase diagram of the homogeneous…

Quantum Gases · Physics 2013-05-29 Yongqiang Li , M. Reza Bakhtiari , Liang He , Walter Hofstetter

We present a theoretical analysis of the phase diagram of two--component bosons on an optical lattice. A new formalism is developed which treats the effective spin interactions in the Mott and superfluid phases on the same footing. Using…

Soft Condensed Matter · Physics 2009-11-10 Ehud Altman , Walter Hofstetter , Eugene Demler , Mikhail D. Lukin

Characterizing quantum many-body phase structure is a major goal for quantum simulation. Here, we employ an unsupervised learning approach based on diffusion maps to learn phase transitions in bosonic lattice systems described by…

Computational Physics · Physics 2026-05-04 Bihui Zhu

We study the ground-state properties of mixtures of strongly interacting bosonic atoms in an optical lattice. Applying a mean-field approximation to the Hubbard model for Bose-Bose mixtures, we calculate the densities and superfluid order…

Other Condensed Matter · Physics 2010-10-22 Takeshi Ozaki , Tetsuro Nikuni

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

We introduce a new technique to probe the properties of an interacting cold atomic gas that can be viewed as a dynamical compressibility measurement. We apply this technique to the study of the superfluid to Mott insulator quantum phase…

Other Condensed Matter · Physics 2009-11-13 H. Lignier , A. Zenesini , D. Ciampini , O. Morsch , E. Arimondo , S. Montangero , G. Pupillo , R. Fazio

We study the system of multi-body interacting bosons on a two dimensional optical lattice and analyze the formation of bound bosonic pairs in the context of the Bose-Hubbard model. Assuming a repulsive two-body interaction we obtain the…

Quantum Gases · Physics 2020-08-19 Suman Mondal , Augustine Kshetrimayum , Tapan Mishra

We studied the superfluid-to-Mott insulator transition for bosonic hard spheres loaded in asymmetric three-dimensional optical lattices by means of diffusion Monte Carlo calculations. The onset of the transition was monitored through the…

Quantum Gases · Physics 2015-06-18 F. De Soto , C. Carbonell-Coronado , M. C. Gordillo

Motivated by recent experiments on toroidal Bose-Einstein condensates in all-optical traps with tunable weak links, we study the one-dimensional Bose-Hubbard model on a ring-shaped lattice with a small region of weak hopping integrals using…

We analyze theoretically a spinor Bose gas loaded into a three-dimensional cubic optical lattice. In order to account for different superfluid phases of spin-1 bosons in the presence of an external magnetic field, we work out a…

Quantum Gases · Physics 2013-10-03 Mohamed Mobarak , Axel Pelster

We examine finite-temperature phase transitions in the two-orbital Hubbard model with different bandwidths by means of the dynamical mean-field theory combined with the continuous-time quantum Monte Carlo method. It is found that there…

Strongly Correlated Electrons · Physics 2015-10-28 Aaram J. Kim , MooYoung Choi , Gun Sang Jeon

We investigate the thermal physics of a Bose-Hubbard model with Rashba spin-orbit coupling starting from a strong coupling mean-field ground state. The essential role of the spin-orbit coupling $\left(\gamma\right)$ is to promote…

Strongly Correlated Electrons · Physics 2019-05-22 Arijit Dutta , Abhishek Joshi , K. Sengupta , Pinaki Majumdar