Arbitrary-length <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>X</mml:mi><mml:mi>X</mml:mi></mml:mrow></mml:math> spin chains boundary-driven by non-Markovian environments

In this work we provide a recursive method of calculating the wavefunction XX spin chain coupled at both ends to non-Markovian reservoirs with arbitrary spectral density. The is based on appropriate handling time-dependent Schrodinger's equations motion in Laplace space and leads closed form solutions transformed amplitudes, for lengths as well initial conditions, within single-excitation subspace. Results dynamical state transfer properties system various combinations parameters are also presented. particular, detailed quantitative comparisons Lorentzian Ohmic illustrated.