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We extend the idea of quantum phase transitions of light in the photonic Bose-Hubbard model with interactions to two atomic species by a self-consistent mean field theory. The excitation of two-level atoms interacting with coherent photon…

Quantum Physics · Physics 2015-05-18 Soi-Chan Lei , Tai-Kai Ng , Ray-Kuang Lee

We investigate the behavior of a two dimensional array of Bose-Einstein condensate tubes described by means of a Bose-Hubbard Hamiltonian. Using a Wannier function expansion for the wavefunction in each tube, we compute the Bose-Hubbard…

Quantum Gases · Physics 2010-07-05 A. Cetoli , E. Lundh

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…

In this paper, we analyze the quantum phases of multiple component Bose-Hubbard model in optical superlattices, using a mean-field method, the decoupling approximation. We find that the phase diagrams exhibit complected patterns and regions…

Quantum Gases · Physics 2013-05-29 Bo-Lun Chen , Su-Peng Kou , Yunbo Zhang , Shu Chen

We consider a boundary between a Mott insulator and a superfluid region of a Bose-Hubbard model at unit filling. Initially both regions are decoupled and cooled to their respective ground states. We show that, after switching on a small…

Strongly Correlated Electrons · Physics 2008-02-20 Michael J. Hartmann , Martin B. Plenio

In this paper we analyze the various phases exhibited by a system of ultracold bosons in a periodic optical superlattice using the mean field decoupling approximation. We investigate for a wide range of commensurate and incommensurate…

Quantum Gases · Physics 2012-03-08 Arya Dhar , Manpreet Singh , Ramesh V. Pai , B. P. Das

In the absence of a confining potential, the boson Hubbard model in its ground state is known to exhibit a superfluid to Mott insulator quantum phase transition at commensurate fillings and strong on-site repulsion. In this paper, we use…

Superconductivity · Physics 2008-11-03 G. G. Batrouni , V. Rousseau , R. T. Scalettar , M. Rigol , A. Muramatsu , P. J. H. Denteneer , M. Troyer

We study the quantum phase transition of the 1D weakly interacting Bose gas in the presence of disorder. We characterize the phase transition as a function of disorder and interaction strengths, by inspecting the long-range behavior of the…

Quantum Gases · Physics 2010-07-08 L. Fontanesi , M. Wouters , V. Savona

Trapping ultra-cold atoms in optical lattices provides a unique environment for investigating quantum phase transitions between strongly correlated superfluid and Mott insulator phases. One of the major complications in the analysis of…

Quantum Gases · Physics 2015-10-16 T. A. Zaleski , T. K. Kopec

We show that in a commensurate bosonic ladder, a quantum phase transition occurs between a Mott insulator and a superfluid when interchain hopping increases. We analyse the properties of such a transition as well as the physical properties…

Strongly Correlated Electrons · Physics 2009-11-07 P. Donohue , T. Giamarchi

Cold atom optical lattices typically simulate zero-range Hubbard models. We discuss the theoretical possibility of using excited states of optical lattices to generate extended range Hubbard models. We find that bosons confined to higher…

Other Condensed Matter · Physics 2009-11-11 V. W. Scarola , S. Das Sarma

We formulate the Collective Quantum Field Theory for three-dimensional bosonic optical lattices and evaluate its consequences in a mean-field approximation to two collective fields, proposed by Fred Cooper et al. and in a lowest-order…

Quantum Gases · Physics 2014-01-22 H. Kleinert , Z. Narzikulov , Abdulla Rakhimov

We probe the transition between superfluid and Bose glass phases using quantum quenches of disorder in an ultracold atomic lattice gas that realizes the disordered Bose-Hubbard model. Measurements of excitations generated by the quench…

Quantum Gases · Physics 2016-07-20 C. Meldgin , U. Ray , P. Russ , D. Ceperley , B. DeMarco

Rotational states for trapped bosons in an optical lattice are studied in the framework of the Hubbard model. Critical frequencies are calculated and the main parameter regimes are identified. Transitions are observed from edge superfluids…

Other Condensed Matter · Physics 2009-11-13 Emil Lundh

The competition between short-range and cavity-mediated infinite-range interactions in a cavity-boson system leads to the existence of a superfluid phase and a Mott-insulator phase within the self-organized regime. In this work, we…

We investigate the superfluid-insulator transition of one-dimensional interacting Bosons in both deep and shallow periodic potentials. We compare a theoretical analysis based on Monte-Carlo simulations in continuum space and Luttinger…

We employ a field-theoretical approach to analyze the Bose-Hubbard model on a lattice, with a focus on the low-energy properties across the Mott insulator (MI) to superfluid (SF) transition. Prior approaches approximated the partition…

Quantum Gases · Physics 2025-05-08 Idan S. Wallerstein , Eytan Grosfeld

Within the Schwinger-Keldysh formalism we derive a Ginzburg-Landau theory for the Bose-Hubbard model which describes the real-time dynamics of the complex order parameter field. Analyzing the excitations in the vicinity of the quantum phase…

Quantum Gases · Physics 2011-07-28 T. D. Grass , F. E. A. dos Santos , A. Pelster

We report the Bragg spectroscopy of interacting one-dimensional Bose gases loaded in optical lattices across the superfluid to Mott-insulator phase transition. Elementary excitations are created with a non-zero momentum and the response of…

Other Condensed Matter · Physics 2009-04-14 D. Clément , N. Fabbri , L. Fallani , C. Fort , M. Inguscio

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
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