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Thursday, January 09, 2014
10:00 AM - 11:00 AM
CNLS Conference Room (TA-3, Bldg 1690)

Seminar

Lindblad master equations: symmetries, conserved quantities, and applications to quantum computing

Victor V. Albert
Yale University

Open quantum systems with multiple steady states can be used for storage and manipulation of quantum information. Recent developments in quantum engineering highlight the need to better understand the dependence of the steady-state behavior of such systems on initial conditions. This work analyzes the structure and response to perturbations of the steady-state subspace of time-independent Lindblad master equations. We discuss the role of symmetries and conserved quantities in such systems and show that the effect of the environment in the infinite-time limit can be tracked exactly for arbitrary initial state and without knowledge of dynamics at intermediate time (arXiv:1310.1523). Applying this approach, we analyze driven single-mode two-photon absorption in the context of quantum information. We analytically determine the steady state for such a system and calculate that dephasing is exponentially suppressed to first order (arXiv:1312.2017).

Host: Kirill Velizhanin