Speaker
Description
Atomic Bose-Einstein condensates (BECs) provide a versatile platform for simulating curved spacetimes via their emergent acoustic metrics. By tailoring the trapping potential, one can realize inhomogeneous density profiles that generate effective geometries conformal to a sphere or a hyperboloid. In the spherical case, phonons follow closed geodesics and refocus at antipodal points, echoing the perfect refocusing found in certain optical systems. We show exact agreement between affine geodesics and ray dynamics in the geometric-optics limit. Beyond this static setting, the framework naturally extends to time-dependent couplings, yielding effective line elements equivalent to Friedmann-Lemaître-Robertson-Walker (FLRW) cosmologies with tunable curvature. Using Gross-Pitaevskii simulations, we demonstrate the refocusing dynamics, test their robustness to perturbations, and compare with preliminary experimental data. This approach provides a concrete route to exploring analogue cosmology and wave dynamics in emergent spacetime backgrounds.
| Keyword-1 | Bose-Einstein Condensate |
|---|---|
| Keyword-2 | Analogue Spacetime |
| Keyword-3 | Quantum Dynamics |