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Exact solution of the boundary-dissipated transverse field Ising model: Structure of the Liouvillian spectrum and dynamical duality

Exact solution of the boundary-dissipated transverse field Ising model: Structure of the Liouvillian spectrum and dynamical duality

We study the boundary-dissipated transverse field Ising model described by a Lindblad master equation and exactly solve its Liouvillian spectrum in the whole parameter space. By mapping the Liouvillian into a Su-Schrieffer-Heeger model with imaginary boundary potentials under a parity constraint, we solve the rapidity spectrum analytically and thus construct …