Observation of pattern stabilization in a driven superfluid
arXiv:2309.03792 · doi:10.1103/PhysRevX.15.011026
Abstract
The formation of patterns in driven systems has been studied extensively, and their emergence can be connected to a fine balance of instabilities and stabilization mechanisms. While the early phase of pattern formation can be understood on the basis of linear stability analyses, the long-time dynamics can only be described by accounting for the interactions between the excitations generated by the drive. Here, we observe the stabilization of square patterns in an interaction-driven, two-dimensional Bose-Einstein condensate. These patterns emerge due to inherent high-order processes that become relevant in the regime of large phonon occupations. Theoretically, this can be understood as the emergence of a stable fixed point of coupled nonlinear amplitude equations, which include phonon-phonon interactions. We experimentally probe the predicted flows towards such a stable fixed-point, as well as repulsion from a saddle fixed-point, using the experimental control unique to quantum gases.
Version as accepted in PRX
References in corpus (18)
- An acoustic analog to the dynamical Casimir effect in a Bose-Einstein condensate
- Pattern Forming Dynamical Instabilities of Bose-Einstein Condensates: A Short Review
- Observation of a space-time crystal in a superfluid quantum gas
- Quantum field simulator for dynamics in curved spacetime
- Observation of the Presuperfluid Regime in a Two-Dimensional Bose Gas
- Faraday waves in Bose-Einstein condensates
- Density correlations and dynamical Casimir emission of Bogoliubov phonons in modulated atomic Bose-Einstein condensates
- Parametric Excitation of a Bose-Einstein Condensate: From Faraday Waves to Granulation
- Pattern formation in a driven Bose-Einstein Condensate
- Matter wave Fourier optics with a strongly interacting two-dimensional Fermi gas
- Spontaneous Formation of Star-Shaped Surface Patterns in a Driven Bose-Einstein Condensate
- Quantum entanglement due to modulated Dynamical Casimir Effect
- Pinpointing Feshbach Resonances and Testing Efimov Universalities in K
- Faraday waves in elongated superfluid fermionic clouds
- High signal to noise absorption imaging of alkali atoms at moderate magnetic fields
- On the long-term stability of space-time crystals
- Stable-fixed-point description of square-pattern formation in driven two-dimensional Bose-Einstein condensates
- Emergence of a tunable crystalline order in a Floquet-Bloch system from a parametric instability
Cited by in corpus (7)
- Observation of supersolid-like sound modes in a driven quantum gas
- Collapse of a quantum vortex in an attractive two-dimensional Bose gas
- Hydrodynamic attractor in periodically driven ultracold quantum gases
- Faraday patterns, spin textures, spin-spin correlations and competing instabilities in a driven spin-1 antiferromagnetic Bose-Einstein condensate
- Steady-states and response functions of the periodically driven O(N) scalar field theory
- Magnon Nesting in Driven Two-Dimensional Quantum Magnets
- Parametric pair production of collective excitations in a Bose-Einstein condensate