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We analytically study the quantum phase diagrams of ultracold dipolar Bose gases in an optical square lattice at zero temperature by using the generalized effective-potential Landau theory (GEPLT). For a weak nearest-neighbor repulsion, our…

Quantum Gases · Physics 2019-04-09 Zhi Lin , Ming Yang

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 properties of the Bose-Hubbard model for a quadratic optical superlattice. To this end we generalize a recently established effective potential Landau theory for a single component to the case of multi components and find not…

Quantum Gases · Physics 2013-06-19 Tao Wang , Xue-Feng Zhang , Sebastian Eggert , Axel Pelster

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

A low-energy effective theory for interacting bosons on a one-dimensional lattice at and near integer fillings is proposed. It is found that two sets of bosonic phase fields are necessary in order to explain the complete phase diagram.…

Superconductivity · Physics 2009-11-13 Yu-Wen Lee , Yu-Li Lee , Min-Fong Yang

We explore the phase diagram of two-component bosons with Feshbach resonant pairing interactions in an optical lattice. It has been shown in previous work to exhibit a rich variety of phases and phase transitions, including a paradigmatic…

Strongly Correlated Electrons · Physics 2010-07-30 M. Hohenadler , A. O. Silver , M. J. Bhaseen , B. D. Simons

Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate theory of interacting bosons in optical lattices which…

Quantum Gases · Physics 2011-09-23 Dagim Tilahun , R. A. Duine , A. H. MacDonald

We present the global topological phase diagram of a two-dimensional electron gas placed in a quantizing magnetic field and proximitized by a superconducting vortex lattice. Our theory allows for arbitrary ratios of the pairing amplitude,…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Daniil S. Antonenko , Liang Fu , Leonid I. Glazman

We clarify some technical issues in the present generalized effective-potential Landau theory (GEPLT) that makes the GEPLT more consistent and complete. Utilizing this clarified GEPLT, we analytically study the quantum phase transitions of…

Quantum Gases · Physics 2019-07-30 Zhi Lin , Wanli Liu

We investigate spin-order of ultracold bosons in an optical lattice by means of Dynamical Mean-Field Theory. A rich phase diagram with anisotropic magnetic order is found, both for the ground state and at finite temperatures. Within the…

Other Condensed Matter · Physics 2009-12-15 A. Hubener , M. Snoek , W. Hofstetter

We use series expansion techniques for analyzing properties of the phase transition between the Mott insulating and superfluid phase for bosons on the kagome lattice, and the multicritical point in the ground-state phase diagram for…

Strongly Correlated Electrons · Physics 2013-11-01 Vipin Kerala Varma , Hartmut Monien

Strongly interacting dipolar bosons in optical lattices exhibit diverse quantum phases that are rich in physics. As the strength of the long-range boson-boson interaction increases, the system transitions across different phases: from a…

Quantum Gases · Physics 2019-04-09 Budhaditya Chatterjee , Marios C. Tsatsos , Axel U. J. Lode

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 insulating states of spin-one bosons in optical lattices in the presence of a weak magnetic field. For the states with more than one atom per lattice site we find a series of quantum phase transitions between states with fixed…

Soft Condensed Matter · Physics 2008-05-07 Adilet Imambekov , Mikhail Lukin , Eugene Demler

In this paper we develop a theoretical description of the correlations between ultra-cold bosons after free expansion from confinement in an optical lattice. We consider the system evolution during expansion and give criteria for a far…

Other Condensed Matter · Physics 2008-07-23 E. Toth , A. M. Rey , P. B. Blakie

We develop a comprehensive Ginzburg-Landau theory describing triple-Q magnetic orders on hexagonal lattices, focusing on $O(N)$ models with $N=2$ and $N=3$. Through systematic analysis of symmetry-allowed terms in the free energy, we…

Strongly Correlated Electrons · Physics 2025-12-23 Jin-Tao Jin , Yi Zhou

The phase transition of the electroweak vacuum induced by a strong magnetic field is examined, and a connection is made with the Ginzburg-Landau theory of type-II superconductivity. For solutions of the exact nonlinear field equations of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ola Tornkvist

We study semiclassical dynamics of anisotropic Heisenberg models in two and three dimensions. Such models describe lattice spin systems and hard core bosons in optical lattices. We solve numerically Landau-Lifshitz type equations on a…

Quantum Gases · Physics 2012-02-01 E. Demler , A. Maltsev , A. Prokofiev

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

Based on standard field-theoretic considerations, we develop an effective action approach for investigating quantum phase transitions in lattice Bose systems at arbitrary temperature. We begin by adding to the Hamiltonian of interest a…

Statistical Mechanics · Physics 2009-01-20 Barry Bradlyn , Francisco Ednilson A. dos Santos , Axel Pelster
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