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The ground state phase diagram of fermion mixtures in optical lattices is analyzed as a function of interaction strength, fermion filling factor and tunneling parameters. In addition to standard superfluid, phase-separated or coexisting…

Superconductivity · Physics 2009-11-11 M. Iskin , C. A. R. Sa de Melo

We study the Mott transition of a mixed Bose-Fermi system of ultracold atoms in an optical lattice, where the number of (spinless) fermions and bosons adds up to one atom per lattice, n_F+n_B=1. For weak interactions, a Fermi surface…

Quantum Gases · Physics 2013-05-30 Ehud Altman , Eugene Demler , Achim Rosch

We analyze an interacting Bose-Fermi mixture in a 1D disordered potential using a combination of renormalization group and variational methods. We obtain the complete phase diagram in the incommensurate case as a function of bosonic and…

Quantum Gases · Physics 2010-09-28 François Crépin , Gergely Zaránd , Pascal Simon

We present a review of properties of ultracold atomic Fermi-Bose mixtures in inhomogeneous and random optical lattices. In the strong interacting limit and at very low temperatures, fermions form, together with bosons or bosonic holes, {\it…

Disordered Systems and Neural Networks · Physics 2009-11-11 V. Ahufinger , L. Sanchez-Palencia , A. Kantian , A. Sanpera , M. Lewenstein

We numerically investigate mixtures of two interacting bosonic species with unequal parameters in one-dimensional optical lattices. In large parameter regions full phase segregation is seen to minimize the energy of the system, but the true…

Strongly Correlated Electrons · Physics 2010-03-23 Tommaso Roscilde , J. Ignacio Cirac

We report our findings on quantum phase transitions in cold bosonic atoms in a one dimensional optical lattice using the finite size density matrix renormalization group method in the framework of the extended Bose-Hubbard model. We…

Quantum Gases · Physics 2015-05-13 Tapan Mishra , Ramesh V. Pai , S. Ramanan , Meetu Sethi Luthra , B. P. Das

We establish the phase diagram of the disordered three-dimensional Bose-Hubbard model at unity filling, which has been controversial for many years. The theorem of inclusions, proven in Ref. [1], states that the Bose glass phase always…

Disordered Systems and Neural Networks · Physics 2010-09-10 V. Gurarie , L. Pollet , N. V. Prokof'ev , B. V. Svistunov , M. Troyer

We propose a scheme to dynamically create a supersolid state in an optical lattice, using an attractive mixture of mass-imbalanced bosons. Starting from a "molecular" quantum crystal, supersolidity is induced dynamically as an…

Quantum Gases · Physics 2009-07-22 Tassilo Keilmann , J. Ignacio Cirac , Tommaso Roscilde

Ring-exchange interactions have been proposed as a possible mechanism for a Bose-liquid phase at zero temperature, a phase that is compressible with no superfluidity. Using the Stochastic Green Function algorithm (SGF), we study the effect…

Strongly Correlated Electrons · Physics 2016-10-31 V. G. Rousseau , K. Hettiarachchilage , K. -M. Tam , M. Jarrell , J. Moreno

An ultracold gas of coupled two-component atoms in an optical field is studied. Due to the internal two-level structure of the atoms, three competing energy terms exist; atomic kinetic, atomic internal, and atom-atom interaction energies. A…

Other Condensed Matter · Physics 2009-09-11 Jonas Larson , Jani-Petri Martikainen

A one-dimensional (1D) Bose system with dipole-dipole repulsion is studied at zero temperature by means of a Quantum Monte Carlo method. It is shown that in the limit of small linear density the bosonic system of dipole moments acquires…

Strongly Correlated Electrons · Physics 2009-11-11 A. S. Arkhipov , G. E. Astrakharchik , A. V. Belikov , Yu. E. Lozovik

We investigate the superfluid--Mott-insulator quantum phase transition of spin-1 bosons in an optical lattice created by pairs of counterpropagating linearly polarized laser beams, driving an $F_g=1$ to $F_e=1$ internal atomic transition.…

Other Condensed Matter · Physics 2007-05-23 K. V. Krutitsky , M. Timmer , R. Graham

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 derive the hydrodynamic equations for the supersolid and superhexatic phases of a neutral two-dimensional Bose fluid. We find, assuming that the normal part of the fluid is clamped to an underlying substrate, that both phases can sustain…

Condensed Matter · Physics 2009-10-28 H. T. C. Stoof , K. Mullen , M. Wallin , S. M. Girvin

We study the ground-state physics of a single-component Haldane model on a hexagonal two-leg ladder geometry with a particular focus on strongly interacting bosonic particles. We concentrate our analysis on the regime of less than one…

Quantum Gases · Physics 2018-03-28 S. Greschner , F. Heidrich-Meisner

We present a mathematically rigorous analysis of the superfluid properties of a Bose-Einstein condensate in the many-body ground state of a one-dimensional model of interacting bosons in a random potential.

Quantum Gases · Physics 2017-06-29 Martin Könenberg , Thomas Moser , Robert Seiringer , Jakob Yngvason

Advances in pure optical trapping techniques now allow the creation of degenerate Bose gases with internal degrees of freedom. Systems such as ${}^{87}$Rb, $^{39}$K or ${}^{23}$Na in the $F=1$ hyperfine state offer an ideal platform for…

We study the thermodynamic properties of a 2D array of coupled one-dimensional Bose gases. The system is realized with ultracold bosonic atoms loaded in the potential tubes of a two-dimensional optical lattice. For negligible coupling…

The emergence of a compressible insulator phase, known as the Bose glass, is characteristic of the interplay of interactions and disorder in correlated Bose fluids. While widely studied in tight-binding models, its observation remains…

Quantum Gases · Physics 2020-08-13 Hepeng Yao , Thierry Giamarchi , Laurent Sanchez-Palencia

We consider quantized vortices in two-component Bose-Einstein condensates and three-component Fermi gases with attractive interactions. In these systems, the vortex core can be either empty (normal in the fermion case) or filled with…

Quantum Gases · Physics 2010-04-01 G. Catelani , E. A. Yuzbashyan