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Phys. Rev. Lett. 104, 043001 (2010) [4 pages]

Time-Dependent Density Functional Theory for Open Quantum Systems with Unitary Propagation

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Joel Yuen-Zhou1, David G. Tempel2, César A. Rodríguez-Rosario1, and Alán Aspuru-Guzik1
1Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, 02138, Cambridge, Massachusetts, USA
2Department of Physics, Harvard University, 17 Oxford Street, 02138, Cambridge, Massachusetts, USA

Received 25 February 2009; published 25 January 2010

We extend the Runge-Gross theorem for a very general class of open quantum systems under weak assumptions about the nature of the bath and its coupling to the system. We show that for Kohn-Sham (KS) time-dependent density functional theory, it is possible to rigorously include the effects of the environment within a bath functional in the KS potential. A Markovian bath functional inspired by the theory of nonlinear Schrödinger equations is suggested, which can be readily implemented in currently existing real-time codes. Finally, calculations on a helium model system are presented.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.104.043001
DOI:
10.1103/PhysRevLett.104.043001
PACS:
31.15.ee, 02.70.-c, 03.65.Yz, 71.15.Mb