Damping bases on symmetric subspace for individual dissipation of N TLA

Presenting Author: William Álvarez, National Autonomous University of Mexico
Contributing Author(s): Pablo Barberis Blostein

Open quantum systems are often modelled with the Lindblad master equation. For N TLA, the state operator lives in a vector space of dimension 4^N, meaning that have analytic solutions quickly become intractable. If Lindblad equation is symmetric under particle relabeling, the evolution of the state take place on the symmetric subspace that grows polynomially with N. We obtain an algebraic solution of master equation of N TLA coupled to independent radiation baths for arbitrary initial state belonging to symmetric subspace. To do so, we find the eigenvalues and eigenstates of the Liouville operator and then we expand the initial condition into this eigenstates. Futhermore, we introduce the independent-time perturbative method to find analytic solutions for collective spontaneous emission processes.

(Session 5 : Thursday from 5:00pm - 7:00 pm)


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