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arXiv · 1409.8307

Variational principle for steady states of dissipative quantum many-body systems

Hendrik Weimer
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Abstract

We present a novel generic framework to approximate the non-equilibrium steady states of dissipative quantum many-body systems. It is based on the variational minimization of a suitable norm of the quantum master equation describing the dynamics. We show how to apply this approach to different classes of variational quantum states and demonstrate its successful application to a dissipative extension of the Ising model, which is of importance to ongoing experiments on ultracold Rydberg atoms. Finally, we identify several advantages of the variational approach over previously employed mean-field-like methods.

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Hendrik Weimer. 2015-02-19. Variational principle for steady states of dissipative quantum many-body systems. https://doi.org/10.1103/physrevlett.114.040402

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