Pattern formation in a driven Bose–Einstein condensate

Zhang, Zhendong; Yao, Kai-Xuan; Feng, Lei; Hu, Jiazhong; Chin, Cheng

doi:10.1038/s41567-020-0839-3

Cited by 59 publications

(49 citation statements)

References 34 publications

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“…Structural phase transitions received recent attention in the context of dipolar supersolids [31], and driven Bose-Einstein condensates [55]. To our knowledge, there is no experimental confirmation of a stripe-like inversion symmetric supersolid phase, as current experiments address only quasi-1D configurations [56,57].…”

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confidence: 93%

Multiple Self-Organized Phases and Spatial Solitons in Cold Atoms Mediated by Optical Feedback

et al. 2021

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We study the transverse self-structuring of a cloud of cold atoms with effective atomic interactions mediated by a coherent driving beam retro-reflected by means of a single mirror. The resulting self-structuring due to optomechanical forces is much richer than that of an effective-Kerr medium, displaying hexagonal, stripe and honeycomb phases depending on the interaction strength parametrized by the linear susceptibility. Phase domains are described by real Ginzburg-Landau amplitude equations. In the stripe phase the system recovers inversion symmetry. Moreover, the subcritical character of the honeycomb phase allows for light-density feedback solitons functioning as self-sustained dark atomic traps with motion controlled by phase gradients in the driving beam.

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confidence: 93%

Multiple Self-Organized Phases and Spatial Solitons in Cold Atoms Mediated by Optical Feedback

et al. 2021

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“…(101) in Ref. [105]. Another novel realization of the pattern formation was proposed for a driven dissipative Bose-Hubbard lattice, that can be implemented in superconducting circuit arrays [106].…”

Section: Discussionmentioning

confidence: 99%

Past and present trends in the development of the pattern-formation theory: domain walls and quasicrystals

Malomed¹

2021

Preprint

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A condensed review is presented for two basic topics in the theory of pattern formation in nonlinear dissipative media: (i) domain walls (DWs, alias grain boundaries), which appear as transient layers between different states occupying semi-infinite regions, and (ii) two-and three-dimensional (2D and 3D) quasiperiodic (QP) patterns, which are built as superposition of plane-wave modes with incommensurate spatial periodicities. These topics are selected for the present article, dedicated to the 70th birthday of Professor M. I. Tribelsky, due to the impact made on them by papers published by Prof. Tribelsky and his coauthors. Although some findings revealed in those works may now seem as "old" ones, they keep their significance as fundamentally important results in the the theory of nonlinear DW and QP patterns. Adding to the findings revealed in the original works by M. I. Tribelsky et al., the present article also reports several new analytical results, obtained as exact solutions to systems of coupled real Ginzburg-Landau (GL) equations. These are: a new solution for symmetric DWs in the bimodal system including linear mixing between its components; a solution for a strongly asymmetric DWs in the case when the diffusion (second-derivative) term is present only in one GL equation; a solution for a system of three real GL equations, for the symmetric DW with a trapped bright soliton in the third component; and an exact solution for DWs between counter-propagating waves governed by the GL equations with group-velocity terms. The significance to the "old" and new results collected in this review is enhanced by the fact that the systems of coupled equations for two-and multicomponent order parameters, addressed in the article, apply equally well to modeling thermal convection, multimode light propagation in nonlinear optics, and binary Bose-Einstein condensates.

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“…These instabilities exist even for a condensate initially at rest; in contrast, parametric instabilities originate from the time-dependent nature of the drive. We note that instabilities are not necessarily detrimental but can result in interesting phenomena, such as parametric amplification, four-wave mixing [44][45][46][47], and pattern formation [48][49][50][51].…”

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confidence: 93%

Parametric Instabilities of Interacting Bosons in Periodically Driven 1D Optical Lattices

et al. 2020

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Periodically driven quantum systems are currently explored in view of realizing novel many-body phases of matter. This approach is particularly promising in gases of ultracold atoms, where sophisticated shaking protocols can be realized and interparticle interactions are well controlled. The combination of interactions and time-periodic driving, however, often leads to uncontrollable heating and instabilities, potentially preventing practical applications of Floquet engineering in large many-body quantum systems. In this work, we experimentally identify the existence of parametric instabilities in weakly interacting Bose-Einstein condensates in strongly driven optical lattices through momentum-resolved measurements, in line with theoretical predictions. Parametric instabilities can trigger the destruction of weakly interacting Bose-Einstein condensates through the rapid growth of collective excitations, in particular in systems with weak harmonic confinement transverse to the lattice axis. Understanding the onset of parametric instabilities in driven quantum matter is crucial for determining optimal conditions for the engineering of modulation-induced many-body systems.

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Pattern formation in a driven Bose–Einstein condensate

Cited by 59 publications

References 34 publications

Multiple Self-Organized Phases and Spatial Solitons in Cold Atoms Mediated by Optical Feedback

Multiple Self-Organized Phases and Spatial Solitons in Cold Atoms Mediated by Optical Feedback

Past and present trends in the development of the pattern-formation theory: domain walls and quasicrystals

Parametric Instabilities of Interacting Bosons in Periodically Driven 1D Optical Lattices

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