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Ultracold atoms in optical lattices are a versatile tool to investigate fundamental properties of quantum many body systems. In particular, the high degree of control of experimental parameters has allowed the study of many interesting…

We present a direct measurement of the density profile of a two-dimensional Mott Insulator formed by ultracold atoms in an optical lattice. High resolution absorption imaging is used to probe the "wedding-cake" structure of a trapped gas as…

Quantum Gases · Physics 2009-08-21 Nathan Gemelke , Xibo Zhang , Chen-Lung Hung , Cheng Chin

We show that the dynamics of cold bosonic atoms in a two-dimensional square optical lattice produced by a bichromatic light-shift potential is described by a Bose-Hubbard model with an additional effective staggered magnetic field. In…

Quantum Gases · Physics 2009-11-13 Lih-King Lim , C. Morais Smith , Andreas Hemmerich

The interacting bosons in one-dimensional inversion-symmetric superlattices are investigated from the topological aspect. The complete phase diagram is obtained by an atomic-limit analysis and quantum Monte Carlo simulations and comprises…

Quantum Gases · Physics 2015-06-23 Tianhe Li , Huaiming Guo , Shu Chen , Shun-Qing Shen

We analyze the finite-temperature effects on the phase diagram describing the insulating properties of interacting 1D bosons in a quasi-periodic lattice. We examine thermal effects by comparing experimental results to exact diagonalization…

Motivated by recent experiments and theoretical investigations on binary mixtures, we investigate the miscible-immiscible transition at finite temperature by means of Quantum Monte Carlo. Based on the observation that the segregated phase…

Quantum Gases · Physics 2018-03-16 F. Lingua , B. Capogrosso-Sansone , F. Minardi , V. Penna

We present a non-perturbative analysis of a new experimental technique for probing ultracold bosons in an optical lattice by periodic lattice depth modulations. This is done using the time-dependent density-matrix renormalization group…

Other Condensed Matter · Physics 2007-05-23 C. Kollath , A. Iucci , T. Giamarchi , W. Hofstetter , U. Schollwoeck

Phase transitions and their associated crossovers are imprinted in the behavior of fluctuations. Motivated by recent experiments on ultracold atoms in optical lattices, we compute the thermodynamic density fluctuations $\delta N^2$ of the…

Quantum Gases · Physics 2019-05-02 C. Walsh , P. Sémon , G. Sordi , A. -M. S. Tremblay

We discuss the quantum phases of hard-core bosons on a two-dimensional square lattice interacting via repulsive dipole-dipole interactions, as realizable with polar molecules trapped in optical lattices. In the limit of small tunneling, we…

Statistical Mechanics · Physics 2015-05-13 B. Capogrosso-Sansone , C. Trefzger , M. Lewenstein , P. Zoller , G. Pupillo

Spectral properties of the two-dimensional Bose-Hubbard model, which emulates ultracold gases of atoms confined in optical lattices, are investigated by means of the variational cluster approach. The phase boundary of the quantum phase…

Quantum Gases · Physics 2010-01-13 Michael Knap , Enrico Arrigoni , Wolfgang von der Linden

A model of two-species bosons moving on the sites of a lattice is studied at nonzero temperature, focusing on magnetic order and superfluid-insulator transitions. Firstly, Landau theory is used to find the general structure of the phase…

Statistical Mechanics · Physics 2009-05-10 Stephen Powell

We study the finite and non-zero temperature phase diagram of the Extended Bose-Hubbard Model for both pure and disordered systems. Such a system can be experimentally realized by trapping ultracold Rydberg atoms in optical lattices. By…

Quantum Gases · Physics 2026-03-04 Madhumita Kabiraj , Raka Dasgupta

We describe the zero-temperature phase diagram of a model of bosons, occupying sites of a linear chain, which obey a hard-exclusion constraint: any two nearest-neighbor sites may have at most one boson. A special case of our model was…

Strongly Correlated Electrons · Physics 2007-05-23 Paul Fendley , K. Sengupta , Subir Sachdev

We use Quantum Monte Carlo simulations and exact diagonalization to explore the phase diagram of the Bose-Hubbard model with an additional superlattice potential. We first analyze the properties of superfluid and insulating phases present…

Other Condensed Matter · Physics 2017-09-11 V. G. Rousseau , D. P. Arovas , M. Rigol , F. Hébert , G. G. Batrouni , R. T. Scalettar

A grand canonical ensemble of interacting bosons is considered. The zero temperature phase diagram is evaluated from the mean-field approximation of the functional integral. Three phases are found: a superfluid, a normal fluid and a Mott…

Condensed Matter · Physics 2007-05-23 K. Ziegler

We investigate magnetic properties of Mott-insulating phases of ultracold Bose and Fermi spinor gases in optical lattices. We consider in particular the F=2 Bose gas, and the F=3/2 and F=5/2 Fermi gases. We derive effective spin…

Other Condensed Matter · Physics 2009-11-11 K. Eckert , L. Zawitkowski , M. J. Leskinen , A. Sanpera , M. Lewenstein

Motivated by the recent experiment on p-orbital band bosons in optical lattices, we study theoretically the quantum phases of Mott insulator and superfluidity in two-dimensions. The system features a novel superfluid phase with transversely…

Quantum Gases · Physics 2015-03-19 Xiaopeng Li , Erhai Zhao , W. Vincent Liu

We propose a cold-atom setup which allows for a dimensional crossover from a two-dimensional quantum spin Hall insulating phase to a three-dimensional strong topological insulator by tuning the hopping between the layers. We further show…

Quantum Gases · Physics 2015-02-18 Mathias S. Scheurer , Stephan Rachel , Peter P. Orth

We present a study of the superfluid properties of atomic Bose gases in optical lattice potentials using the Bose-Hubbard model. To do this, we use a microscopic definition of the superfluid fraction based on the response of the system to a…

Statistical Mechanics · Physics 2009-11-07 R. Roth , K. Burnett

We have studied thermodynamic properties of noninteracting gases in periodic lattice potential at arbitrary integer fillings and compared them with that of ideal homogeneous gases. Deriving explicit expressions for thermodynamic quantities…

Quantum Gases · Physics 2015-07-10 Abdulla Rakhimov , Iman N. Askerzade