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We investigate the phase diagram of a dimerized Bose-Hubbard model, using density matrix renormalization group technique. We find a new phase, which is the coexistence of superfluid and bond-wave phases, due to the effect of dimerization.…

Quantum Gases · Physics 2009-11-13 Anasuya Kundu , Swapan K Pat

We study two models realized by two-component Fermi gases loaded in optical lattices. We clarify that multi-band effects inevitably caused by the optical lattices generate a rich structure, when the systems crossover from the region of…

Quantum Gases · Physics 2015-05-14 Ryota Watanabe , Masatoshi Imada

We analyze quantum phase transitions in a system of optical lattice bosons coupled to an array of atomic quantum dots, or pseudospins-1/2. The system parallels the Bose-Hubbard model with a single difference of the direct tunneling between…

Quantum Gases · Physics 2018-12-07 Damian Wozniak , Florian Magnus Dobler , Anna Posazhennikova

We investigate the zero-temperature phase diagram of interacting Bose gases in the presence of a simple cubic optical lattice, going beyond the regime where the mapping to the single-band Bose-Hubbard model is reliable. Our computational…

Quantum Gases · Physics 2013-05-30 S. Pilati , M. Troyer

We perform a numeric study (Worm algorithm Monte Carlo simulations) of ultracold two-component bosons in two-dimensional optical lattices. We study how the Mott insulator to superfluid transition is affected by the presence of a second…

Quantum Gases · Physics 2015-03-17 M. Guglielmino , V. Penna , B. Capogrosso-Sansone

We study the quantum phase transition in optical lattices using ordinary Bose Hubbard Hamiltonian within two loop approximation in variational perturbation theory. We have shown that this approximation can reproduce superfluid Mott…

Quantum Gases · Physics 2012-06-05 H. Kleinert , Z. Narzikulov , Abdulla Rakhimov

A two-dimensional system of atoms in an anisotropic optical lattice is studied theoretically. If the system is finite in one direction, it is shown to exhibit a transition between a two-dimensional superfluid and a one-dimensional Mott…

Other Condensed Matter · Physics 2009-11-13 Sara Bergkvist , Robert Saers , Emil Lundh , Anders Rosengren , Magnus Rehn , Anders Kastberg

We investigate the behavior of a two dimensional array of Bose-Einstein condensate tubes described by means of a Bose-Hubbard Hamiltonian. Using a Wannier function expansion for the wavefunction in each tube, we compute the Bose-Hubbard…

Quantum Gases · Physics 2010-07-05 A. Cetoli , E. Lundh

The dynamic response of ultracold Bose gases in one-dimensional optical lattices and superlattices is investigated based on exact numerical time evolutions in the framework of the Bose-Hubbard model. The system is excited by a temporal…

Statistical Mechanics · Physics 2007-05-23 M. Hild , F. Schmitt , R. Roth

Ultra-cold atoms in optical lattices realize simple, fundamental models in condensed matter physics. Our 87Rb Bose-Einstein condensate is confined in a harmonic trapping potential to which we add an optical lattice potential. Here we…

Quantum Gases · Physics 2010-09-15 K. Jimenez-Garcia , R. L. Compton , Y. -J. Lin , W. D. Phillips , J. V. Porto , I. B. Spielman

Regular arrays of electromagnetic resonators, in turn coupled coherently to individual quantum two-level systems, exhibit a quantum phase transition of polaritons from a superfluid phase to a Mott-insulating phase. The critical behavior of…

Other Condensed Matter · Physics 2009-08-18 Jens Koch , Karyn Le Hur

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 revisit here the Kibble-Zurek mechanism for superfluid bosons slowly driven across the transition towards the Mott-insulating phase. By means of a combination of the Time-Dependent Variational Principle and a Tree-Tensor Network, we…

The superfluid-Mott insulator transition of spin-2 boson atoms with repulsive interaction in an optical lattice in a magnetic field is presented. By using the mean field theory, Mott ground states and phase diagrams of superfluid-Mott…

Soft Condensed Matter · Physics 2009-11-10 Shuo Jin , Jing-Min Hou , Bing-Hao Xie , Li-Jun Tian , Mo-Lin Ge

We study quenches across the Bose-Hubbard Mott-insulator-to-superfluid quantum phase transition using an ultra-cold atomic gas trapped in an optical lattice. Quenching from the Mott insulator to superfluid phase is accomplished by…

Quantum Gases · Physics 2013-05-29 D. Chen , M. White , C. Borries , B. DeMarco

The phase transition from a superfluid to a Mott insulator has been observed in a $^{23}$Na Bose-Einstein condensate. A dye laser detuned $\approx 5$nm red of the Na $3^2$S$ \to 3^2$P$_{1/2}$ transition was used to form the three…

Other Condensed Matter · Physics 2009-11-11 K. Xu , Y. Liu , J. R. Abo-Shaeer , T. Mukaiyama , J. K. Chin , D. E. Miller , W. Ketterle , Kevin M. Jones , Eite Tiesinga

The Bose-Hubbard model of a two-fold degenerate Bose gas is studied in an optical lattice with one particle per site and virtual tunneling to empty and doubly-occupied sites. An effective Hamiltonian for this system is derived within a…

Statistical Mechanics · Physics 2009-11-10 K. Ziegler

We employ a field-theoretical approach to analyze the Bose-Hubbard model on a lattice, with a focus on the low-energy properties across the Mott insulator (MI) to superfluid (SF) transition. Prior approaches approximated the partition…

Quantum Gases · Physics 2025-05-08 Idan S. Wallerstein , Eytan Grosfeld

By means of diffusion Monte Carlo calculations, we investigated the quantum phase transition between a superfluid and a Mott insulator for a system of hard-sphere bosons in a quasi one-dimensional optical lattice. For this continuous…

Quantum Gases · Physics 2014-03-05 C. Carbonell-Coronado , F. De Soto , M. C. Gordillo

We have studied superfluid-Mott insulating transition of spin-1 bosons interacting antiferromagnetically in an optical lattice. We have obtained the zero-temperature phase diagram by a mean-field approximation and have found that the…

Soft Condensed Matter · Physics 2013-05-29 Shunji Tsuchiya , Susumu Kurihara , Takashi Kimura