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Cold atom developments suggest the prospect of measuring scaling properties and long-range fluctuations of continuous phase transitions at zero-temperature. We discuss the conditions for characterizing the phase separation of Bose-Einstein…

Statistical Mechanics · Physics 2012-02-16 D. H. Santamore , Eddy Timmermans

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

Quantum phases and phase transitions of weakly- to strongly-interacting bosonic atoms in deep to shallow optical lattices are described by a {\it single multi-orbital mean-field approach in real space}. For weakly-interacting bosons in 1D,…

Other Condensed Matter · Physics 2009-11-10 Ofir E. Alon , Alexej I. Streltsov , Lorenz S. Cederbaum

In this paper, the quantum phase transition between superfluid state and Mott-insulator state is studied based on an extended Bose-Hubbard model with two- and three-body on-site interactions. By employing the mean-field approximation we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Bo-Lun Chen , Xiao-Bin Huang , Su-Peng Kou , Yunbo Zhang

A spin-orbit-coupled Bose-Einstein-condensed cloud of atoms confined in an annular trapping potential shows a variety of phases that we investigate in the present study. Starting with the non-interacting problem, the homogeneous phase that…

Quantum Gases · Physics 2016-02-17 E. Ö. Karabulut , F. Malet , A. L. Fetter , G. M. Kavoulakis , S. M. Reimann

Recent experiments have realized ultra-cold gases in twisted-bilayer optical lattices. We show that interacting bosons in these lattices present a highly non-trivial ground-state physics resulting from the interplay between inter- and…

Quantum Gases · Physics 2025-07-17 Ganesh C. Paul , Patrik Recher , Luis Santos

Using numerical techniques, we study the miscible-immiscible quantum phase transition in a linearly coupled binary Bose-Hubbard model Hamiltonian that can describe low-energy properties of a two-component Bose-Einstein condensate in optical…

Quantum Gases · Physics 2015-06-19 Fei Zhan , Jacopo Sabbatini , Matthew J. Davis , Ian P. McCulloch

Phases of matter are conventionally characterized by order parameters describing the type and degree of order in a system. For example, crystals consist of spatially ordered arrays of atoms, an order that is lost as the crystal melts. Like-…

Quantum Gases · Physics 2023-07-20 D. L. Campbell , R. M. Price , A. Putra , A. Valdés-Curiel , D. Trypogeorgos , I. B. Spielman

Spinor Bose condensates loaded in optical lattices have a rich phase diagram characterized by different magnetic order. Here we apply the Density Matrix Renormalization Group to accurately determine the phase diagram for spin-1 bosons…

Other Condensed Matter · Physics 2007-05-23 Matteo Rizzi , Davide Rossini , Gabriele De Chiara , Simone Montangero , Rosario Fazio

We consider the ground-state phase diagram of a one-dimensional spin-1/2 XXZ chain with spatially modulated Dzyaloshinskii-Moriya interaction in the presence of applied along with the $\hat{z}$ axis alternating magnetic field. The model is…

Strongly Correlated Electrons · Physics 2021-08-04 G. I. Japaridze , H. Cheraghi , S. Mahdavifar

Three hyperfine states of Bose-condensed sodium atoms, recently optically trapped, can be described as a spin-1 Bose gas. We study the behaviour of this system in a magnetic field, and construct the phase diagram, where the temperature of…

Statistical Mechanics · Physics 2009-10-31 M. V. Simkin , E. G. D. Cohen

We investigate vortex states in Bose-Einstein condensates under the combined action of the spin-orbit coupling (SOC), gradient magnetic field, and harmonic-oscillator trapping potential. The linear version of the system is solved exactly.…

Quantum Gases · Physics 2024-02-06 Huan-Bo Luo , Lu Li , Boris A. Malomed , Yongyao Li , Bin Liu

Cold atoms confined in periodic potentials are remarkably versatile quantum systems for implementing simple models prevalent in condensed matter theory. In the current experiment, we realize the 2D Bose-Hubbard model by loading a…

Other Condensed Matter · Physics 2012-12-24 I. B. Spielman , W. D. Phillips , J. V. Porto

We investigate magnetism and quantum phase transitions in a one-dimensional system of integrable spin-1 bosons with strongly repulsive density-density interaction and antiferromagnetic spin exchange interaction via the thermodynamic Bethe…

Quantum Gases · Physics 2009-12-22 J. Y. Lee , X. W. Guan , M. T. Batchelor , C. Lee

We theoretically address magnetic ordering at zero and finite temperature in both homogeneous and trapped Bose-Bose mixtures in optical lattices. By using Bosonic Dynamical Mean-Field Theory, we obtain the phase diagram of the homogeneous…

Quantum Gases · Physics 2013-05-29 Yongqiang Li , M. Reza Bakhtiari , Liang He , Walter Hofstetter

The recent experimental realization of spin-orbit (SO) coupling for spin-1 ultracold atoms opens an interesting avenue for exploring SO-coupling-related physics in large-spin systems, which is generally unattainable in electronic materials.…

Quantum Gases · Physics 2016-02-11 Kuei Sun , Chunlei Qu , Yong Xu , Yongping Zhang , Chuanwei Zhang

We demonstrate that atoms in magnetically insensitive hyperfine states (m=0) can be trapped efficiently by a Bose-Einstein Condensate of the same atomic species occupying a different hyperfine state. The latter is trapped magnetically.…

Other Condensed Matter · Physics 2008-11-17 Stephan Middelkamp , Igor Lesanovsky , Peter Schmelcher

Theoretical study is presented for a spinor Bose-Einstein condensate, whose two components are coupled by copropagating Raman beams with different orbital angular momenta. The investigation is focused on the behavior of the ground state of…

Quantum Gases · Physics 2021-01-04 Y. Duan , Y. M. Bidasyuk , A. Surzhykov

Ring-exchange interactions have been proposed as a possible mechanism for a Bose-liquid phase at zero temperature, a phase that is compressible with no superfluidity. Using the Stochastic Green Function algorithm (SGF), we study the effect…

Strongly Correlated Electrons · Physics 2016-10-31 V. G. Rousseau , K. Hettiarachchilage , K. -M. Tam , M. Jarrell , J. Moreno

Bose-Einstein condensates of dilute atomic gases, characterized by a macroscopic population of the quantum mechanical ground state, are a new, weakly interacting quantum fluid. In most experiments condensates in a single weak field seeking…

Statistical Mechanics · Physics 2015-06-25 J. Stenger , S. Inouye , D. M. Stamper-Kurn , H. -J. Miesner , A. P. Chikkatur , W. Ketterle