Quantum Entropic Self-Localization with Ultracold Fermions

Abstract

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. We show how the constrained dynamics lead to quantum few-body scars and map to an Anderson impurity model with an additional intriguing feature of non-reciprocal scattering. Connections to many-body scars and localization are also discussed.

Systematically Constructing Mesoscopic Quantum States Relevant to Periodic Orbits in Integrable Billiards from Directionally Resolved Level Distributions

“…Quantum scars have not only been confirmed from the accumulation of spin-orbit-coupled atomic gases for specific energies [42] but also generated in the 2D harmonic oscillators with local impurities [43][44][45]. Furthermore, quantum many-body scars have been hypothesized to cause weak ergodicity breaking and the unexpectedly slow thermalization of cold atoms [46][47][48][49][50][51][52][53][54][55]. The similar phenomenon dynamical scar has also been experimentally found in a driven fraction system [56].…”

Quantum Computation Toolbox for Decoherence‐Free Qubits Using Multi‐Band Alkali Atoms

“…[ 67 ] As a more ambitious goal, we can also explore the fully resonant regime where for some γ for which nontrivial constrained dynamics can arise on fast timescales. [ 68 ] Our protocols offer a powerful toolbox for quantum computation and simulation, which is accessible with current state‐of‐the‐art optical lattice experiments, and offers powerful tunability and versatility.…”

Resonant dynamics of strongly interacting SU($n$) fermionic atoms in a synthetic flux ladder

“…3(a). This interactionenabled tunneling process may occur freely, and two adjacent ↑ atoms can propagate via a leap-frog like process [52]. An analogous process of two neighbouring ↓ atoms forming a doublon cannot occur since the associated cost is +Ω + U = 0.…”