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A grand-canonical system of interacting bosons is considered to study phase transitions of ultracold atoms in an optical lattice. The phase diagram is discussed in terms of a matrix-like order parameter, representing a symmetric phase (Mott…

Statistical Mechanics · Physics 2007-05-23 K. Ziegler

Interacting bosons with two "spin'' states in a lattice show novel superfluid-insulator phase transitions in the presence of spin-orbit coupling. Depending on the parameter regime, bosons in the superfluid phase can condense to either a…

Strongly Correlated Electrons · Physics 2015-12-09 Sangita De Sarkar , Rajdeep Sensarma , K. Sengupta

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

A two-dimensional lattice hard-core boson system with a small fraction of bosonic or fermionic impurity particles is studied. The impurities have the same hopping and interactions as the dominant bosons and their effects are solely due to…

Other Condensed Matter · Physics 2009-11-13 Anders. W. Sandvik

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

We study the phase diagram of two-dimensional Bose-Fermi mixtures of ultracold atoms on a triangular optical lattice, in the limit when the velocity of bosonic condensate fluctuations is much larger than the Fermi velocity. We contrast this…

Superconductivity · Physics 2007-10-30 L. Mathey , S. -W. Tsai , A. H. Castro Neto

We study superfluid to Anderson insulator transition of strongly repulsive Bose gas in a one dimensional incommensurate optical lattice. In the hard core limit, the Bose-Fermi mapping allows us to deal with the system exactly by using the…

Quantum Gases · Physics 2010-03-02 Xiaoming Cai , Shu Chen , Yupeng Wang

An effective Hamiltonian for the Bose system in the mixture of ultracold atomic clouds of bosons and fermions is obtained by integrating out the Fermi degrees of freedom. An instability of the Bose system is found in the case of attractive…

Statistical Mechanics · Physics 2007-05-23 S. -T. Chui , V. N. Ryzhov , E. E. Tareyeva

The stability of superfluid currents in a system of ultracold bosons was studied using a moving optical lattice. Superfluid currents in a very weak lattice become unstable when their momentum exceeds 0.5 recoil momentum. Superfluidity…

We use bosonization approach to investigate quantum phases in mixtures of bosonic and fermionic atoms confined in one dimensional optical lattices. The phase diagrams can be well understood in terms of polarons, which correspond to atoms…

Quantum Physics · Physics 2009-11-10 L. Mathey , D. -W. Wang , W. Hofstetter , M. D. Lukin , Eugene Demler

Two types of long range interactions, dipolar interaction and cavity-mediated interaction lead to exotic quantum phases. Both interactions have been realized and observed in optical lattice setups. Here, we study quantum phases of dipolar…

Quantum Gases · Physics 2023-04-26 Yaghmorassene Hebib , Chao Zhang , Jin Yang , Barbara Capogrosso-Sansone

Depending on the Hamiltonian parameters, two-component bosons in an optical lattice can form at least three different superfluid phases in which both components participate in the superflow: a (strongly interacting) mixture of two miscible…

Soft Condensed Matter · Physics 2009-11-10 A. Kuklov , N. Prokof'ev , B. Svistunov

We consider strongly interacting boson-boson mixtures on one-dimensional lattices and, by adopting a qualitative mean-field approach, investigate their quantum phases as the interspecies repulsion is increased. In particular, we analyze the…

Other Condensed Matter · Physics 2009-09-29 P. Buonsante , S. M. Giampaolo , F. Illuminati , V. Penna , A. Vezzani

We discuss ground state properties of a mixture of two fermion species which can bind to form a molecular boson. When the densities of the fermions are unbalanced, one or more Fermi surfaces can appear: we describe the constraints placed by…

Superconductivity · Physics 2007-05-23 Subir Sachdev , Kun Yang

We have considered one-dimensional Bose-Fermi mixture with equal densities and unequal masses using numerical density matrix renormalization group (DMRG). For the mass ratio of K-Rb mixture and attraction between bosons and fermions, we…

Strongly Correlated Electrons · Physics 2009-08-20 M. Rizzi , A. Imambekov

We study the interplay between large-spin, spin-orbit coupling, and superfluidity for bosons in a two dimensional optical lattice, focusing on the spin-1 spin-orbit coupled system recently realized at the Joint Quantum Institute [Campbell…

Quantum Gases · Physics 2016-02-10 J. H. Pixley , Stefan S. Natu , I. B. Spielman , S. Das Sarma

We present a study that investigated a quantum dipolar gas in continuous space where a potential lattice was imposed. Employing exact quantum Monte Carlo techniques, we analysed the ground state properties of the scrutinised system, varying…

Quantum Gases · Physics 2016-01-27 Fabio Cinti

We show the emergence of a strongly interacting Bose-Fermi mixture from a two-component Fermi mixture with population imbalance. By analyzing in situ density profiles of $^6$Li atoms in the BCS-BEC crossover regime we identify a critical…

Statistical Mechanics · Physics 2009-11-13 Yong-il Shin , André Schirotzek , Christian H. Schunck , Wolfgang Ketterle

The ground-state phase diagram of mixtures of spin polarized fermions and bosons in a 1D periodic lattice is discussed in the limit of large fermion hopping and half filling of the fermions. Numerical simulations performed with the density…

Other Condensed Matter · Physics 2013-05-29 Alexander Mering , Michael Fleischhauer

We study a one-dimensional system of strongly correlated bosons on a dynamical lattice. To this end, we extend the standard Bose-Hubbard Hamiltonian to include extra degrees of freedom on the bonds of the lattice. We show that this minimal…