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Spin-orbit coupling related new physics and quantum magnetism are two branches of great interest both in condensed matter physics and in cold atomic physics. With the introduction of a Rashba-like SOC into a Bose-Einstein condensate (BEC)…

Quantum Gases · Physics 2014-11-13 Zhongbo Yan , Shaolong Wan

Controlling matter to simultaneously support multiple coupled properties is of fundamental and technological importance. For example, the simultaneous presence of magnetic and ferroelectric orders in multiferroic materials leads to enhanced…

Quantum Gases · Physics 2019-01-18 Andrea Morales , Philip Zupancic , Julian Léonard , Tilman Esslinger , Tobias Donner

The remarkable recent experiments on ensembles of magnetically trapped ultracold alkali atoms have demonstrated the transition to a highly ordered phase, that has been attributed to the process of quantum-mechanical condensation, predicted…

Statistical Mechanics · Physics 2007-05-23 E. Del Giudice , G. Preparata

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

Large spin systems can exhibit unconventional types of magnetic ordering different from the ferromagnetic or N\'eel-like antiferromagnetic order commonly found in spin 1/2 systems. Spin-nematic phases, for instance, do not break…

We present a new scenario for the breakdown of ferromagnetic order in a two-dimensional quantum magnet with competing ferromagnetic and antiferromagnetic interactions. In this, dynamical effects lead to the formation of two-magnon bound…

Strongly Correlated Electrons · Physics 2009-11-11 Nic Shannon , Tsutomu Momoi , Philippe Sindzingre

Instabilities resulting in Bose-Einstein condensation and/or modulation of "displacements" in a system of quantum particles described by a two-state Bose-Hubbard model (with an allowance for the interaction between particle displacements on…

Quantum Gases · Physics 2018-06-27 I. V. Stasyuk , O. V. Velychko

We present an exact quantum mechanical analysis of collinear four-wave mixing in a multicomponent Bose-Einstein condensate consisting of sodium atoms in the F=1 ground state. Technically, this is achieved by taking advantage of the…

Condensed Matter · Physics 2009-10-31 Elena V. Goldstein , Pierre Meystre

We prove two equilibrium properties of a system of interacting atoms in three or higher dimensional continuous space. (i) If the particles interact via pair potentials of a nonnegative Fourier transform, their self-organization into…

Mathematical Physics · Physics 2023-05-31 Andras Suto

We study the effect of the synthetic spin-orbit coupling in a two-component Bose-Hubbard model in one dimension by employing the density-matrix renormalization group method. A ferromagnetic long-range order emerges in both Mott insulator…

Strongly Correlated Electrons · Physics 2014-04-21 Jize Zhao , Shijie Hu , Jun Chang , Ping Zhang , Xiaoqun Wang

Decoherence with recurrences appear in the dynamics of the one-body density matrix of an $F = 1$ spinor Bose-Einstein condensate, initially prepared in coherent states, in the presence of an external uniform magnetic field and within the…

Quantum Gases · Physics 2020-12-21 J. C. Sandoval-Santana , R. Zamora-Zamora , R. Paredes , V. Romero-Rochín

The magnetization of a two-dimensional ferromagnetic Heisenberg model, which represents a quantum Hall system at filling factor nu=1, is calculated employing a large N Schwinger boson approach. Corrections of order 1/N to the mean field…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Carsten Timm , S. M. Girvin , Patrik Henelius

We study a spin-one Heisenberg model with exchange interaction, J, uniaxial single-ion exchange anisotropy, D, and Zeeman coupling to a magnetic field, B, parallel to the symmetry axis. We com- pute the (D/J,B/J) quantum phase diagram for…

Strongly Correlated Electrons · Physics 2012-12-04 Keola Wierschem , Yasuyuki Kato , Yusuke Nishida , Cristian D. Batista , Pinaki Sengupta

We discuss the quantum phases and their diffusion dynamics in a spinor-1 atomic Bose-Einstein condensate. For ferromagnetic interactions, we obtain the exact ground state distribution of the phases associated with the total atom number…

Condensed Matter · Physics 2009-11-10 S. Yi , Ö. E. Müstecaplıoğlu , L. You

We consider the general spin-1 SU(2) invariant Heisenberg model with a two-body interaction. A random loop model is introduced and relations to quantum spin systems is proved. Using this relation it is shown that for dimensions 3 and above…

Mathematical Physics · Physics 2016-09-15 Benjamin Lees

We analyze a system of coupled Bose-Einstein condensates in the domain of a unitary ball in $\mathbb{R}^3$. The coupling is due to atom-to-atom interactions that occur between different gas components. The multi-component Bose-Einstein…

Analysis of PDEs · Mathematics 2025-08-12 Carlos García-Azpeitia , Anna Gołȩbiewska , Wieslaw Krawcewicz , Jingzhou Liu

We consider a Bose-Einstein condensate driven by periodic delta-kicks. In contrast to first-order descriptions, which predict rapid, unbounded growth of the noncondensate in resonant parameter regimes, the consistent treatment of condensate…

Quantum Gases · Physics 2012-01-24 T. P. Billam , S. A. Gardiner

We apply density functional theory band structure calculations and quantum Monte Carlo simulations to investigate the Bose-Einstein condensation in the spin-1/2 quantum magnet Pb2V3O9. In contrast to previous conjectures on the…

Strongly Correlated Electrons · Physics 2011-02-21 Alexander A. Tsirlin , Helge Rosner

We use the Gross-Pitaevskii equation to determine the spatial structure of the condensate density of interacting bosons whose energy dispersion epsilon_k has two degenerate minima at finite wave-vectors q. We show that in general the…

Quantum Gases · Physics 2011-01-14 Johannes Hick , Francesca Sauli , Andreas Kreisel , Peter Kopietz

A phenomenological model is proposed to describe the behavior of spinor Bose-Einstein condensates. In the absence of hyperfine spin-spin interactions, Bose-Einstein condensation leads to a spontaneous magnetization at the same transition…

Condensed Matter · Physics 2009-11-07 Qiang Gu
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