Dr. Giulia Gualdi
Institute for Theoretical Physics, Kassel University
Conference room Querzoli - LENS - via Nello Carrara 1 - Sesto Fiorentino (Florence)
Published on-line at 04:02:25 PM on Monday, February 20th, 2012
Approximating open quantum systems in a controlled and efficient way: a microscopic approach to decoherence
Dynamics of an open quantum system can be calculated efficiently and with predefined error.
We demonstrate that the dynamics of an open quantum system can be calculated efficiently and with predefined error, provided that a basis exists in which the system-environment interactions are local and hence obey the Lieb-Robinson bound. We show that this assumption can generally be made. Defining a dynamical renormalization group transformation, an effective Hamiltonian for the full system plus environment is obtained that comprises only those environmental degrees of freedom that are within the effective light cone of the system. The reduced system dynamics can therefore be simulated with a computational effort that scales at most polynomially in the system-bath interaction time and the size of the effective light cone. Our results hold for generic environments consisting of either discrete or continuous degrees of freedom.[video=720 540]20120224_gualdi[/video]
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