Quantum entropic self-localization with ultracold fermions

Understand

We study a driven, spin-orbit coupled fermionic system in a lattice at the resonant regime where the drive frequency equals the Hubbard repulsion, for which non-trivial constrained dynamics emerge at fast timescales.

• An effective density-dependent tunneling model is derived, and examined in the sparse filling regime in 1D.
• The system exhibits entropic self-localization, where while even numbers of atoms propagate ballistically, odd numbers form localized bound states induced by an effective attraction from a higher configurational entropy.
• These phenomena occur in the strong coupling limit where interactions only impose a constraint with no explicit Hamiltonian term.