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We provide a framework for turning a numerical simulation of a gap soliton in the one-dimensional Gross-Pitaevskii equation into a rigorous mathematical proof of its existence. These nonlinear localized solutions play a central role in the…

Dynamical Systems · Mathematics 2026-02-25 Miguel Ayala , Carlos García-Azpeitia , Jean-Philippe Lessard

Motivated by the physics of mobile triplets in frustrated quantum magnets, the properties of a two dimensional model of bosons with correlated-hopping are investigated. A mean-field analysis reveals the presence of a pairing phase without…

Strongly Correlated Electrons · Physics 2009-11-11 Rachel Bendjama , Brijesh Kumar , Frederic Mila

Spinor Bose Einstein condensates (BEC) can be realized nowadays using different atomic species of several spin values, offering unprecedented opportunities to scrutinize the underlying physics of its spin phase domains and of its quantum…

Quantum Gases · Physics 2024-02-08 E. Serrano-Ensástiga , F. Mireles

Spin-orbit coupled ultra-cold atoms provide an intriguing new avenue for the study of rich spin dynamics in superfluids. In this Letter, we observe Zitterbewegung, the simultaneous velocity (thus position) and spin oscillations, of neutral…

Quantum Gases · Physics 2013-08-29 Chunlei Qu , Chris Hamner , Ming Gong , Chuanwei Zhang , Peter Engels

Using the rigorous path integral formalism of Feynman and Kac we prove London's eighty years old conjecture that during the superfluid transition in liquid helium Bose-Einstein condensation (BEC) takes place. The result is obtained by…

Mathematical Physics · Physics 2017-12-06 Andras Suto

We study the single-particle dispersion of a spin-orbit coupled (SOC) Bose-Einstein condensate (BEC) under the periodical modulation of the Raman coupling. This modulation introduces a further coupling of the SOC dressed eigenlevels, thus…

At low-temperatures a gas of bosons will undergo a phase transition into a quantum state of matter known as a Bose-Einstein condensate (BEC), in which a large fraction of the particles will occupy the ground state simultaneously. Here we…

An overview on the physics of spinor and dipolar Bose-Einstein condensates (BECs) is given. Mean-field ground states, Bogoliubov spectra, and many-body ground and excited states of spinor BECs are discussed. Properties of spin-polarized…

Quantum Gases · Physics 2012-08-17 Yuki Kawaguchi , Masahito Ueda

Bose-Einstein condensation (BEC) is a powerful tool for a wide range of research activities, a large fraction of which are related to quantum simulations. Various problems may benefit from different atomic species, but cooling down novel…

Atomic and Molecular Clusters · Physics 2020-07-22 E. T. Davletov , V. V. Tsyganok , V. A. Khlebnikov , D. A. Pershin , D. V. Shaykin , A. V. Akimov

We present a novel experimental approach to Bose-Einstein condensation by increasing the particle number of the system at almost constant temperature. In particular the emergence of a new condensate is observed in multi-component F=1 spinor…

Soft Condensed Matter · Physics 2009-11-10 M. Erhard , H. Schmaljohann , J. Kronjäger , K. Bongs , K. Sengstock

We discuss several possible experimental signatures of the Bose-Einstein condensation (BEC) transition for an ultracold Bose gas in an inhomogeneous optical lattice. Based on the commonly used time-of-flight imaging technique, we show that…

Superconductivity · Physics 2008-05-21 G. -D. Lin , Wei Zhang , L. -M. Duan

A self-consistent model of the superfluid (SF) state of a Bose liquid with strong interaction between bosons is considered, in which at T=0, along with a weak single-particle Bose-Einstein condensate (BEC), there exists an intensive pair…

Soft Condensed Matter · Physics 2007-05-23 E. A. Pashitskii , S. V. Mashkevich , S. I. Vilchynskyy

We investigate and model the behaviour of split spin-squeezed Bose-Einstein condensates (BECs) system. In such a system, a spin-polarized BEC is first squeezed using a $ (S^z)^2 $ interaction, then are split into two separate clouds. After…

Quantum Physics · Physics 2019-10-02 Yumang Jing , Matteo Fadel , Valentin Ivannikov , Tim Byrnes

We consider the spin-orbit coupled Bose gas with repulsive mean-field interparticle interactions. We analyze the phase diagram of the system varying the temperature $T>0$, the chemical potentials, as well as interparticle and spin-orbit…

Quantum Gases · Physics 2025-02-05 Pawel Jakubczyk , Marek Napiórkowski

We have produced a Bose-Einstein condensate (BEC) on an atom chip using only superconducting wires in a cryogenic environment. We observe the onset of condensation for 10^4 atoms at a temperature of 100 nK. This result opens the way for…

Atomic Physics · Physics 2009-11-13 C. Roux , A. Emmert , A. Lupascu , T. Nirrengarten , G. Nogues , M. Brune , J. -M. Raimond , S. Haroche

Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomenon which we are able to analyze rigorously. The system is a…

Statistical Mechanics · Physics 2009-11-10 Michael Aizenman , Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

Computer simulations of many-body quantum dynamics of indistinguishable particles is a challenging task for computational physics. In this paper we demonstrate that the method of coupled coherent states (CCS) developed previously for…

Quantum Physics · Physics 2019-07-17 James A. Green , Dmitrii V. Shalashilin

Recently, stripe phases in spin-orbit coupled Bose-Einstein condensates (BECs) have attracted much attention since they are identified as supersolid phases. In this paper, we exploit experimentally reachable parameters and show…

Quantum Gases · Physics 2020-05-26 N. -C. Chiu , Y. Kawaguchi , S. -K. Yip , Y. -J. Lin

The Bose-Einstein condensation of atoms can be conveniently formulated as a problem in thermal quantum field theory. There are many properties of the equilibrium system and its collective excitations that can be studied experimentally. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eric Braaten

We study a two-component Bose gas with a symmetric spin-orbit coupling, and find that two atoms can form a bound state with any intra- or inter-species scattering length. Consequently, in the dilute limit, the Bardeen-Cooper-Shrieffer (BCS)…

Quantum Gases · Physics 2017-10-02 Dekun Luo , Lan Yin
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