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arxiv 1905.12094 v2 pith:O76FQNLZ submitted 2019-05-28 quant-ph cond-mat.dis-nncond-mat.quant-gascond-mat.stat-mech

Quantum entropic self-localization with ultracold fermions

classification quant-ph cond-mat.dis-nncond-mat.quant-gascond-mat.stat-mech
keywords constraineddynamicseffectiveentropicmodelnumbersquantumregime
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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