Linked cluster expansions for open quantum systems on a lattice
Name
PhysRevB.97.035103.pdf
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431.83 KB
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Author(s)
Biella, Alberto
Jin, Jiasen
Ciuti, Cristiano
Fazio, Rosario
Rossini, Davide
Viyuela Garcia, Oscar
Date Issued
January 2018
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.97.035103
