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The phases of a Bose-Einstein condensate (BEC) with light-induced spin-orbit coupling (SOC) are studied within the mean-field approximation. The mixed BEC phase, in which the system condenses in a superposition of two plane wave states, is…

Quantum Gases · Physics 2015-06-16 Qin-Qin Lü , Daniel E. Sheehy

We consider the inner limit system describing the phase separation in two-component Bose-Einstein condensates linearized around the one-dimensional solution in an infinite strip with zero and periodic boundary conditions, and obtain optimal…

Analysis of PDEs · Mathematics 2025-06-30 Christos Sourdis

The synchronization of coherent states of light has long been an important subject of basic research and technology. Recently, a new concept for analog computers has emerged where this synchronization process can be exploited to solve…

Quantum Gases · Physics 2021-10-06 Chris Toebes , Mario Vretenar , Jan Klaers

We study the condensate phase dynamics in a low-temperature equilibrium gas of weakly interacting bosons, harmonically trapped and isolated from the environment. We find that at long times, much longer than the collision time between…

Quantum Gases · Physics 2019-04-22 Yvan Castin , Alice Sinatra

We propose methods to create fractional vortices in the cyclic state of an F = 2 spinor Bose-Einstein condensate by manipulating its internal spin structure using pulsed microwave and laser fields. The stability of such vortices is studied…

Quantum Gases · Physics 2015-05-14 J. A. M. Huhtamäki , T. P. Simula , M. Kobayashi , K. Machida

We investigate the superradiant phase transition in a two-component Bose-Einstein condensate with distinct atomic detunings, confined in an optical cavity and driven by a transverse pump laser. By combining perturbation theory and numerical…

Quantum Gases · Physics 2026-01-13 Jia-Ying Lin , Wei Qin , Renyuan Liao

The condensation of the spinless ideal charged Bose gas in the presence of a magnetic field is revisited. The conventional approach is extended to include the macroscopic occupation of excited kinetic states lying in the lowest Landau…

Quantum Gases · Physics 2012-09-06 R. L. Delgado , P. Bargueño , F. Sols

Considering an effectively attractive quasi-one-dimensional Bose-Einstein condensate of atoms confined in a toroidal trap, we find that the system undergoes a phase transition from a uniform to a localized state, as the magnitude of the…

Condensed Matter · Physics 2009-11-07 G. M. Kavoulakis

We resolve the real-time dynamics of a purely dissipative $s = 1/2$ quantum spin or, equivalently, hard-core boson model on a hypercubic $d$-dimensional lattice. The considered quantum dissipative process drives the system to a totally…

Quantum Gases · Physics 2016-08-08 Stephan Caspar , Florian Hebenstreit , David Mesterházy , Uwe-Jens Wiese

We investigate the ground-state phases and spin-scissors dynamics of binary Bose-Einstein condensates confined in a twisted two-dimensional harmonic trap. The ground state hosts three distinct phases-phase-separated, polarized, and…

Quantum Gases · Physics 2025-09-16 Huaxin He , Fengtao Pang , Xianchao Zhang , Yongping Zhang , Chunlei Qu

We derive the dynamic and thermodynamic stability conditions for dilute multicomponent Bose-Einstein condensates (BECs). These stability conditions, generalized for $n$-component BECs, are found to be equivalent and are shown to be…

Other Condensed Matter · Physics 2009-11-11 David C. Roberts , Masahito Ueda

We study the dynamics of small vortex clusters with few (2--4) co-rotating vortices in Bose-Einstein condensates by means of experiments, numerical computations, and theoretical analysis. All of these approaches corroborate the…

We briefly review the theory of Bose-Einstein condensation in the two-dimensional trapped Bose gas and, in particular the relationship to the theory of the homogeneous two-dimensional gas and the Berezinskii-Kosterlitz-Thouless phase. We…

Statistical Mechanics · Physics 2009-11-11 D. A. W. Hutchinson , P. B. Blakie

We study the uniform solutions to the one-dimensional spinor Bose-Einstein condensates on a ring. These states explicitly display the associated motion of the super-current and the spin rotation, which give rise to fractional winding…

Quantum Gases · Physics 2015-06-15 Yong-Kai Liu , Shi-Jie Yang

We discuss the properties of two Bose-Einstein condensates in different spin states, represented quantum mechanically by a double Fock state. Individual measurements of the spins of the particles are performed in transverse directions…

Quantum Physics · Physics 2008-02-18 Franck Laloë , William J. Mullin

The temperature dependence of the frequencies of a Bose-Einstein condensate obtained in experiment has not been fully understood theoretically. In this paper we present a simplified version of a two-gas model. A numerically-found ground…

Condensed Matter · Physics 2009-10-31 R. Bach , M. Brewczyk , K. Rzazewski

Using parametric conversion induced by a Shapiro-type resonance, we produce and characterize a two-mode squeezed vacuum state in a sodium spin 1 Bose-Einstein condensate. Spin-changing collisions generate correlated pairs of atoms in the…

Quantum Gases · Physics 2020-07-27 An Qu , Bertrand Evrard , Jean Dalibard , Fabrice Gerbier

We investigate spin dynamics of a two-component Bose-Einstein condensates with weak Josephson coupling. Analytical expressions of atom-number squeezing and bipartite entanglement are presented for atom-atom repulsive interactions. For…

Quantum Gases · Physics 2010-02-26 G. R. Jin , X. W. Wang , D. Li , Y. W. Lu

We experimentally investigate the dynamical instability of a Bose Einstein condensate in an optical ring resonator for various cavity detuning and pump powers. The resulting phase diagram is asymmetric with respect to the cavity detuning…

Atomic Physics · Physics 2013-11-12 D. Schmidt , H. Tomczyk , S. Slama , C. Zimmermann

Ground-state phase diagram of two-component Bose gases with Rashba spin-orbit coupling is determined via a variational approach. A phase in which the fully polarized condensate occupies zero momentum is identified. This zero-momentum phase…

Quantum Gases · Physics 2013-05-24 Zeng-Qiang Yu