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Insights into complex phenomena in quantum matter can be gained from simulation experiments with ultracold atoms, especially in cases where theoretical characterization is challenging. However these experiments are mostly limited to…

We study the superfluid response, the energetic and structural properties of a one-dimensional ultracold Bose gas in an optical lattice of arbitrary strength. We use the Bose-Fermi mapping in the limit of infinitely large repulsive…

Both mixtures of atomic Bose-Einstein condensates and systems with atoms trapped in optical lattices have been intensely explored theoretically, mainly due to the exceptional developments on the experimental side. We investigate the…

Quantum Gases · Physics 2018-02-28 R. H. Chaviguri , T. Comparin , M. Di Liberto , M. A. Caracanhas

Recently it has been suggested that fermions whose hopping amplitude is quenched to extremely low values provide a convenient source of local disorder for lattice bosonic systems realized in current experiment on ultracold atoms. Here we…

Disordered Systems and Neural Networks · Physics 2009-01-30 P. Buonsante , F. Massel , V. Penna , A. Vezzani

Recent experiments have realized ultra-cold gases in twisted-bilayer optical lattices. We show that interacting bosons in these lattices present a highly non-trivial ground-state physics resulting from the interplay between inter- and…

Quantum Gases · Physics 2025-07-17 Ganesh C. Paul , Patrik Recher , Luis Santos

We study the low-energy two-body scattering in optical lattices with all higher-band effects included in an effective potential, using a renormalization group approach. As the potential depth reaches a certain value, a resonance of low…

Quantum Gases · Physics 2010-04-22 Xiaoling Cui , Yupeng Wang , Fei Zhou

We investigate the dynamics of two bosons trapped in an infinite one-dimensional optical lattice potential within the framework of the Bose-Hubbard model and derive an exact expression for the wavefunction at finite time. As initial…

We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimates are then applied to various types of interactions,…

Mathematical Physics · Physics 2015-04-14 Douglas Lundholm , Fabian Portmann , Jan Philip Solovej

A condensate in an optical lattice, prepared in the ground state of the superfluid regime, is stimulated first by suddenly increasing the optical lattice amplitude and then, after a waiting time, by abruptly decreasing this amplitude to its…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Roberto Franzosi

We analyze the spin dynamics of an out-of-equilibrium large spin dipolar atomic Bose gas in an optical lattice. We observe a smooth crossover from a complex oscillatory behavior to an exponential behavior throughout the Mott to superfluid…

We study the ground state properties of spin-1 bosons in a two-dimensional optical lattice, by applying a variational Monte Carlo method to the S=1 Bose-Hubbard model on a square lattice at unit filling. A doublon-holon binding factor…

Quantum Gases · Physics 2012-06-08 Yuta Toga , Hiroki Tsuchiura , Makoto Yamashita , Kensuke Inaba , Hisatoshi Yokoyama

Motivated by the recent experiment [Takafumi Tomita \emph{et al.}, Sci. Adv. {\bf 3}, (2017)], we study the dynamics of interacting bosons in a two-dimensional optical lattice with local dissipation. Together with the Gutzwiller mean-field…

Quantum Gases · Physics 2019-11-04 Arko Roy , Kush Saha

The rapid development of artificial gauge fields in ultracold gases suggests that atomic realization of fractional quantum Hall physics will become experimentally practical in the near future. While it is known that bosons on lattices can…

Strongly Correlated Electrons · Physics 2014-09-11 Jonas A. Kjäll , Joel E. Moore

In a solid material strong interactions between the electrons can lead to surprising properties. A prime example is the Mott insulator, where the suppression of conductivity is a result of interactions and not the consequence of a filled…

Other Condensed Matter · Physics 2010-01-21 Robert Jördens , Niels Strohmaier , Kenneth Günter , Henning Moritz , Tilman Esslinger

We study, by means of the time-dependent Gutzwiller approximation, the out of equilibrium dynamics of a half-filled Hubbard-Holstein model of correlated electrons interacting with local phonons. Inspired by pump-probe experiments, where…

Strongly Correlated Electrons · Physics 2015-06-04 Patrice Andre' , Marco Schiro' , Michele Fabrizio

Non-standard Bose-Hubbard models can exhibit rich ground state phase diagrams, even when considering the one-dimensional limit. Using a self-consistent Gutzwiller diagonalisation approach, we study the mean-field ground state properties of…

Quantum Gases · Physics 2019-10-30 Dean Johnstone , Niclas Westerberg , Callum W. Duncan , Patrik Öhberg

Motivated by recent optical lattice experiments [J.-y. Choi et al., Science 352, 1547 (2016)], we study the dynamics of strongly interacting bosons in the presence of disorder in two dimensions. We show that Gutzwiller mean-field theory…

Quantum Gases · Physics 2017-08-18 Mi Yan , Hoi-Yin Hui , Marcos Rigol , Vito W. Scarola

We show that ultracold atoms can be controlled in multi-band optical lattices through spatially periodic Raman pulses for investigation of a class of strongly correlated physics related to the Kondo problem. The underlying dynamics of this…

Soft Condensed Matter · Physics 2009-11-10 L. -M. Duan

Extended Bose Hubbard models with nearest neighbour interaction describe minimally the effect of long range interaction on ultra cold atoms in deep optical lattices. Rotation of such optical lattices subject such neutral cold atoms to the…

Quantum Gases · Physics 2010-12-30 Rashi Sachdeva , Sonika Johri , Sankalpa Ghosh

We show anisotropy of the dipole interaction between magnetic atoms or polar molecules can stabilize new quantum phases in an optical lattice. Using a well controlled numerical method based on the tensor network algorithm, we calculate…

Quantum Gases · Physics 2013-05-29 Y. -H. Chan , Y. -J. Han , L. -M. Duan
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