Dynamical mean-field driven spinor condensate physics beyond the single-mode approximation

Abstract

${}^{23}$Na spin-1 Bose-Einstein condensates are used to experimentally demonstrate that mean-field physics beyond the single-mode approximation can be relevant during the non-equilibrium dynamics. The experimentally observed spin oscillation dynamics and associated dynamical spatial structure formation confirm theoretical predictions that are derived by solving a set of coupled mean-field Gross-Pitaevskii equations [J. Jie et al., Phys. Rev. A 102, 023324 (2020)]. The experiments rely on microwave dressing of the $f=1$ hyperfine states, where $f$ denotes the total angular momentum of the ${}^{23}$Na atom. The fact that beyond single-mode approximation physics at the mean-field level, i.e., spatial mean-field dynamics that distinguishes the spatial density profiles associated with different Zeeman levels, can -- in certain parameter regimes -- have a pronounced effect on the dynamics when the spin healing length is comparable to or larger than the size of the Bose-Einstein condensate has implications for using Bose-Einstein condensates as models for quantum phase transitions and spin squeezing studies as well as for non-linear SU(1,1) interferometers.

9 pages; 8 figures, several subfigures

References in corpus (11)

• Nonlinear atom interferometer surpasses classical precision limit
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Twin matter waves for interferometry beyond the classical limit
• Deterministic entanglement generation from driving through quantum phase transitions
• Spinor Dynamics in an Antiferromagnetic Spin-1 Condensate
• Observation of Dynamical Quantum Phase Transition with Correspondence in Excited State Phase Diagram
• Quantum Phase Transitions and Continuous Observation of Spinor Dynamics in an Antiferromagnetic Condensate
• Magnetically tuned spin dynamics resonance
• Spontaneous breaking of spatial and spin symmetry in spinor condensates
• Precise measurements on a quantum phase transition in antiferromagnetic spinor Bose-Einstein condensates
• Coherent seeding of the dynamics of a spinor Bose-Einstein condensate: from quantum to classical behavior