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We propose a system of four quantum dots designed to study the competition between three types of interactions: Heisenberg, Kondo and Ising. We find a rich phase diagram containing two sharp features: a quantum phase transition (QPT)…

Mesoscale and Nanoscale Physics · Physics 2011-09-02 Dong E. Liu , Shailesh Chandrasekharan , Harold U. Baranger

We study the ground-state properties of one-dimensional mixtures of bosonic and fermionic atoms resonantly coupled to fermionic Feshbach molecules. When the particle densities of fermionic atoms and Feshbach molecules differ, the system…

Quantum Gases · Physics 2013-10-18 Shimul Akhanjee , Masahisa Tsuchiizu , Akira Furusaki

One of the most remarkable results of quantum mechanics is the fact that many-body quantum systems may exhibit phase transitions even at zero temperature. Quantum fluctuations, deeply rooted in Heisenberg's uncertainty principle, and not…

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 study the ground-state properties of ultracold bosonic atoms in a state-dependent graphene-like honeycomb optical lattice, where the degeneracy between the two triangular sublattices A and B can be lifted. We discuss the various…

We study the quantum phase transition in optical lattices using ordinary Bose Hubbard Hamiltonian within two loop approximation in variational perturbation theory. We have shown that this approximation can reproduce superfluid Mott…

Quantum Gases · Physics 2012-06-05 H. Kleinert , Z. Narzikulov , Abdulla Rakhimov

We classify phases of a bosonic lattice model based on the computational complexity of classically simulating the system. We show that the system transitions from being classically simulable to classically hard to simulate as it evolves in…

The quantum phase transition between paramagnetic and antiferromagnetic phases of the Kondo lattice model with Ising anisotropy in the intersite exchange is studied within the framework of extended dynamical mean-field theory.…

Strongly Correlated Electrons · Physics 2007-12-03 Matthew T. Glossop , Kevin Ingersent

We extend the idea of quantum phase transitions of light in atom-photon system with Dicke-Bose-Hubbard model for arbitrary number of two-level atoms. The formulations of eigenenergies, effective Rabi frequencies, and critical chemical…

Quantum Physics · Physics 2009-11-13 Soi-Chan Lei , Ray-Kuang Lee

We study a quantum Bose-Fermi mixture near a broad Feshbach resonance at zero temperature. Within a quantum field theoretical model a two-step Gaussian approximation allows to capture the main features of the quantum phase diagram. We show…

Quantum Gases · Physics 2011-11-15 Denis Ludwig , Stefan Floerchinger , Sergej Moroz , Christof Wetterich

In this paper, we investigate systematically the Mott-insulator-Superfluid quantum phase transitions for ultracold scalar bosons in triangular, hexagonal, as well as Kagom\'e optical lattices. With the help of field-theoretical effective…

Statistical Mechanics · Physics 2012-06-01 Zhi Lin , Jun Zhang , Ying Jiang

We consider an ensemble of three-level particles in lambda-configuration interacting with two bosonic modes. The Hamiltonian has the form of a generalized Dicke-model. We show that in the thermodynamic limit this model supports a…

Quantum Physics · Physics 2012-12-24 Mathias Hayn , Clive Emary , Tobias Brandes

We study the phase transitions in a one dimensional Bose-Einstein condensate on a ring whose atomic scattering length is modulated periodically along the ring. By using a modified Bogoliubov method to treat such a nonlinear lattice in the…

Quantum Gases · Physics 2015-06-05 Zheng-Wei Zhou , Shao-Liang Zhang , Xiang-Fa Zhou , Guang-Can Guo , Xingxiang Zhou , Han Pu

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

Obtaining quantitative ground-state behavior for geometrically-frustrated quantum magnets with long-range interactions is challenging for numerical methods. Here, we demonstrate that the ground states of these systems on two-dimensional…

Strongly Correlated Electrons · Physics 2019-04-04 S. N. Saadatmand , S. D. Bartlett , I. P. McCulloch

We have obtained the quantum phase diagram of one dimensional extended Bose-Hubbard model using the density-matrix renormalization group and Abelian bosonization methods for different commensurabilities. We describe the nature of different…

Superconductivity · Physics 2008-03-04 Manoranjan Kumar , Sujit Sarkar , S. Ramasesha

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

We investigate the quantum phases of bosons in a two-chain-coupled ladder. This bosonic ladder is generally in a biased configuration, meaning that the two chains of the ladder can have dramatically different on-site interactions and…

Quantum Gases · Physics 2025-03-04 Jingtao Fan , Xiaofan Zhou , Suotang Jia

We study dynamics of a two-component Bose-Einstein condensate where the two components are coupled via an optical lattice. In particular, we focus on the dynamics as one drives the system through a critical point of a first order phase…

Quantum Gases · Physics 2015-05-14 Anssi Collin , Jani-Petri Martikainen , Jonas Larson

Hexagonal optical lattices, emulating graphene and hexagonal boron nitride (h-BN) structures, provide a versatile platform for exploring strongly correlated quantum matter. Using continuous-space exact diagonalization and quantum Monte…

Quantum Gases · Physics 2026-05-08 Danilo Nascimento Guimaraes , Laurent Sanchez-Palencia