Coherent transfer by adiabatic passage in two-dimensional lattices

TL;DR

This paper extends the well-known CTAP technique from linear chains to two-dimensional lattice geometries using exactly solvable models, enabling robust quantum particle transport in more complex structures.

Contribution

It introduces two exactly-solvable 2D lattice models that implement adiabatic passage, expanding CTAP applications beyond linear chains.

Findings

Successful extension of CTAP to 2D lattices

Models ensure adiabatic passage in Fock space

Potential for robust quantum transport in complex geometries

Abstract

Coherent tunneling by adiabatic passage (CTAP) is a well-established technique for robust spatial transport of quantum particles in linear chains. Here we introduce two exactly-solvable models where the CTAP protocol can be extended to two-dimensional lattice geometries. Such bi-dimensional lattice models are synthesized from time-dependent second-quantization Hamiltonians, in which the bosonic field operators evolve adiabatically like in an ordinary three-level CTAP scheme thus ensuring adiabatic passage in Fock space.