Linked cluster expansions for open quantum systems on a lattice

• Main Authors: Biella, Alberto (Author), Jin, Jiasen (Author), Ciuti, Cristiano (Author), Fazio, Rosario (Author), Rossini, Davide (Author), Viyuela Garcia, Oscar (Contributor)
• Other Authors: Massachusetts Institute of Technology. Department of Physics (Contributor)
• Format: Article
• Language: English
• Published: American Physical Society, 2018-03-27T17:03:58Z.
• Subjects: Article
• Online Access: Get fulltext

We propose a generalization of the linked-cluster expansions to study driven-dissipative quantum lattice models, directly accessing the thermodynamic limit of the system. Our method leads to the evaluation of the desired extensive property onto small connected clusters of a given size and topology. We first test this approach on the isotropic spin-1/2 Hamiltonian in two dimensions, where each spin is coupled to an independent environment that induces incoherent spin flips. Then we apply it to the study of an anisotropic model displaying a dissipative phase transition from a magnetically ordered to a disordered phase. By means of a Padé analysis on the series expansions for the average magnetization, we provide a viable route to locate the phase transition and to extrapolate the critical exponent for the magnetic susceptibility.