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Linked cluster expansions for open quantum systems on a lattice

Author(s)
Biella, Alberto; Jin, Jiasen; Ciuti, Cristiano; Fazio, Rosario; Rossini, Davide; Viyuela Garcia, Oscar; ... Show more Show less
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Abstract
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.
Date issued
2018-01
URI
http://hdl.handle.net/1721.1/114399
Department
Massachusetts Institute of Technology. Department of Physics
Journal
Physical Review B
Publisher
American Physical Society
Citation
Biella, Alberto et al. "Linked cluster expansions for open quantum systems on a lattice." Physical Review B 97, 3 (January 2018): 035103 © 2018 American Physical Society
Version: Final published version
ISSN
2469-9950
2469-9969

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