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The Bose-Hubbard model is well-defined description of a Bose solid which may be realistic for cold atoms in a periodic optical lattice. We show that contrary to accepted theories it can never have as a ground state a perfect Mott insulator…

Quantum Gases · Physics 2011-02-24 Philip W Anderson

We study the ground-state properties of ultracold bosons in an optical lattice in the regime of strong interactions. The system is described by a non-standard Bose-Hubbard model with both occupation-dependent tunneling and on-site…

Quantum Gases · Physics 2011-04-13 Omjyoti Dutta , Andre Eckardt , Philipp Hauke , Boris Malomed , Maciej Lewenstein

We investigate the ground state properties of a non-locally coupled bosonic system in a bilayer optical superlattice by considering bosons in one layer to be of softcore in nature and separately allowing two and three body hardcore…

Quantum Gases · Physics 2020-07-01 Sayan Lahiri , Suman Mondal , Manpreet Singh , Tapan Mishra

We study the phase diagram of ultracold bosons in an optical lattice near a Feshbach resonance. Depending on the boson density, the strength of the optical lattice potential and the detuning from resonance, the ground state can be a Mott…

Superconductivity · Physics 2007-05-23 K. Sengupta , N. Dupuis

In the absence of frustration, interacting bosons in the ground state exist either in the superfluid or insulating phases. Superfluidity corresponds to frictionless flow of the matter field, and in optical conductivity is revealed through a…

Disordered Systems and Neural Networks · Physics 2022-05-04 Guido Masella , Nikolay V. Prokof'ev , Guido Pupillo

With Girardeau's Fermi-Bose mapping, we find the exact ground states of hard-core bosons residing in a one dimensional periodic potential. The analysis of these ground states shows that when the number of bosons $N$ is commensurate with the…

Other Condensed Matter · Physics 2015-06-25 Yuan Lin , Biao Wu

A novel class of non-local interactions between bosons is found to favor a crystalline Bose-Einstein condensation ground state. By using both low energy effective field theory and variational wavefunction method, we compare this state not…

Quantum Gases · Physics 2011-02-11 Xiaopeng Li , W. Vincent Liu , Chungwei Lin

The Mott insulating state formed from bosons is ubiquitous in solid He-4, cold atom systems, Josephson junction networks and perhaps underdoped high-Tc superconductors. We predict that close to the quantum phase transition to the…

Strongly Correlated Electrons · Physics 2012-09-26 A. J. Beekman , J. Zaanen

The phase diagram of a single component Bose system in a lattice at zero temperature is obtained. We calculate the variational energies for the Mott insulating and superfluid phases. Below a certain critical density, which depends…

Soft Condensed Matter · Physics 2009-11-10 Zaira Nazario , David I. Santiago

We revisit the concept of superfluidity in bosonic lattice models in low dimensions. Then, by using numerical and analytical results obtained previously for equivalent spinless fermion models, we show that the gapless phase of 1D…

Strongly Correlated Electrons · Physics 2009-11-11 S. Sorella

Spinor Bose gases form a family of quantum fluids manifesting both magnetic order and superfluidity. This article reviews experimental and theoretical progress in understanding the static and dynamic properties of these fluids. The…

Quantum Gases · Physics 2012-12-11 Dan M. Stamper-Kurn , Masahito Ueda

Bosons in a periodic lattice with on-site disorder at low but non-zero temperature are considered within a mean-field theory. The criteria used for the definition of the superfluid, Mott insulator and Bose glass are analysed. Since the…

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

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 two-component (or pseudospin-1/2) bosons with pair hopping interactions in synthetic dimension, for which a feasible experimental scheme on a square optical lattice is also presented. Previous studies have shown that two-component…

Quantum Gases · Physics 2021-01-04 Zhi Lin , Chenrong Liu , Yan Chen

In a recent article [R. Bombin, F. Mazzanti and J. Boronat, Phys. Rev. A100, 063614 (2019)], it is contended that a two-dimensional system of dipolar bosons, with dipole moments aligned at particular angles with respect to the direction…

Quantum Gases · Physics 2020-10-28 Fabio Cinti , Massimo Boninsegni

Recently, correlated physics such as superconductivity and insulator at commensurate fractional electron fillings has been discovered in several different systems with Moire superlattice and narrow electron bands near charge neutrality.…

Strongly Correlated Electrons · Physics 2018-10-12 Chao-Ming Jian , Cenke Xu

Coulomb repulsion is taken into account to derive the thermodynamics of charged bosons in a random external potential. A simple analytical form of the partition function is proposed for the case of non-overlapping localised states (i.e. a…

Superconductivity · Physics 2008-02-03 A. S. Alexandrov , R. T. Giles

We demonstrate theoretically that the electronic ground state of the potassium-covered Si(111)-B surface is a Mott insulator, explicitly contradicting band theory but in good agreement with recent experiments. We determine the physical…

Materials Science · Physics 2009-10-31 C. Stephen Hellberg , Steven C. Erwin

Motivated by recent experiments on trapped ultra-cold bosonic atoms in an optical lattice potential, we consider the non-equilibrium dynamic properties of such bosonic systems for a number of experimentally relevant situations. When the…

Statistical Mechanics · Physics 2007-05-23 Anatoli Polkovnikov , Subir Sachdev , S. M. Girvin

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
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