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We develop a variational wave function for the ground state of a one-dimensional bosonic lattice gas. The variational theory is initally developed for the quantum rotor model and later on extended to the Bose-Hubbard model. This theory is…

Condensed Matter · Physics 2009-11-10 J. J. Garcia-Ripoll , J. I. Cirac , P. Zoller , C. Kollath , U. Schollwoeck , J. von Delft

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

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

We analyze the ground-state entanglement entropy of the extended Bose-Hubbard model with infinite-range interactions. This model describes the low-energy dynamics of ultracold bosons tightly bound to an optical lattice and dispersively…

Quantum Gases · Physics 2022-10-18 Shraddha Sharma , Simon B. Jaeger , Rebecca Kraus , Tommaso Roscilde , Giovanna Morigi

We study the dynamics of the many-body state of ultracold bosons trapped in a bistable optical lattice in an optomechanical resonator controlled by a time-dependent input field. We focus on the dynamics of the many-body system following…

Quantum Physics · Physics 2011-04-29 K. Zhang , W. Chen , P. Meystre

In the fermionic Hubbard model, doubly occupied states have an exponentially large lifetime for strong repulsive interactions U. We show that this property can be used to prepare a metastable s-wave superfluid state for fermionic atoms in…

Other Condensed Matter · Physics 2008-12-29 Achim Rosch , David Rasch , Benedikt Binz , Matthias Vojta

We report the observation of many-body interaction effects for a homonuclear bosonic mixture in a three-dimensional optical lattice with variable state dependence along one axis. Near the superfluid-to-Mott insulator transition for one…

Quantum Gases · Physics 2010-07-28 Bryce Gadway , Daniel Pertot , René Reimann , Dominik Schneble

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 consider two interacting bosons in a dimerized Su-Schrieffer-Heeger (SSH) lattice. We identify a rich variety of two-body states. In particular, for open boundary conditions and moderate interactions, edge bound states (EBS) are present…

Mesoscale and Nanoscale Physics · Physics 2017-01-10 M. Di Liberto , A. Recati , I. Carusotto , C. Menotti

We present a canonical mapping transforming physical boson operators into quadratic products of cluster composite bosons that preserves matrix elements of operators when a physical constraint is enforced. We map the 2D lattice Bose-Hubbard…

Quantum Gases · Physics 2015-06-15 Daniel Huerga , Jorge Dukelsky , Gustavo E. Scuseria

Many-body localization for a system of bosons trapped in a one dimensional lattice is discussed. Two models that may be realized for cold atoms in optical lattices are considered. The model with a random on-site potential is compared with…

Disordered Systems and Neural Networks · Physics 2018-04-24 Piotr Sierant , Jakub Zakrzewski

We investigate the thermal physics of a Bose-Hubbard model with Rashba spin-orbit coupling starting from a strong coupling mean-field ground state. The essential role of the spin-orbit coupling $\left(\gamma\right)$ is to promote…

Strongly Correlated Electrons · Physics 2019-05-22 Arijit Dutta , Abhishek Joshi , K. Sengupta , Pinaki Majumdar

We use the density-matrix renormalization group method to investigate ground-state and dynamic properties of the one-dimensional Bose-Hubbard model, the effective model of ultracold bosonic atoms in an optical lattice. For fixed maximum…

Strongly Correlated Electrons · Physics 2015-05-27 S. Ejima , H. Fehske , F. Gebhard

We study two-component fermions in optical lattices with spatially alternating on-site interactions using dynamical mean-field theory. Calculating the quasi-particle weight, double occupancy, and order parameters for each sublattice, we…

Strongly Correlated Electrons · Physics 2013-01-16 Akihisa Koga , Takamitsu Saitou , Atsushi Yamamoto

I consider non-relativistic bosons interacting via pairwise potentials with infinite scattering length and supporting no two-body bound states. To lowest order in effective field theory, these conditions lead to non-interacting bosons,…

Quantum Gases · Physics 2019-07-16 Manuel Valiente

Using an efficient cluster approach, we study the physics of two-dimensional lattice bosons in a strong magnetic field in the regime where the tunneling is much weaker than the on-site interaction strength. We study both dilute, hard core…

Quantum Gases · Physics 2016-06-15 Stefan S. Natu , Erich J. Mueller , S. Das Sarma

We study a bosonic version of the Kondo lattice model with an on-site repulsion in the conduction band, implemented with alkali atoms in two bands of an optical lattice. Using both weak and strong-coupling perturbation theory, we find that…

Quantum Gases · Physics 2012-07-24 Michael Foss-Feig , Ana Maria Rey

We investigate the mean-field phase diagram of the Bose-Hubbard model with infinite-range interactions in two dimensions. This model describes ultracold bosonic atoms confined by a two-dimensional optical lattice and dispersively coupled to…

Quantum Gases · Physics 2019-05-08 Lukas Himbert , Cecilia Cormick , Rebecca Kraus , Shraddha Sharma , Giovanna Morigi

We demonstrate the existence of quantum droplets in two-component one-dimensional Bose-Hubbard chains. The droplets exist for any strength of repulsive intra-species interactions provided they are balanced by comparable attractive…

Quantum Gases · Physics 2020-04-15 Ivan Morera , Grigori E. Astrakharchik , Artur Polls , Bruno Juliá-Díaz

We present a phase diagram for a dilute two-dimensional Bose-gas on a lattice. For one sort of boson we consider a realistic case of the van der Waals interaction between particles with a strong hard-core repulsion $U$ and a van der Waals…

Strongly Correlated Electrons · Physics 2009-11-07 M. Yu. Kagan , D. V. Efremov
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