Linked cluster expansions for open quantum systems on a lattice

Year: 2018

Authors: Biella A., Jin J.S., Viyuela O., Ciuti C., Fazio R., Rossini D.

Autors Affiliation: Univ Paris Diderot, Sorbonne Paris Cite, CNRS, Lab Mat & Phenomenes Quant,UMR7162, F-75013 Paris, France; Dalian Univ Technol, Sch Phys, Dalian 116024, Peoples R China; MIT, Dept Phys, Cambridge, MA 02139 USA; Harvard University0, Dept Phys, Cambridge, MA 02318 USA; Abdus Salaam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy; CNR, NEST, Scuola Normale Super, I-56126 Pisa, Italy; CNR, Ist Nanosci, I-56126 Pisa, Italy; Univ Pisa, Dipartimento Fis, Largo Pontecorvo 3, I-56127 Pisa, Italy; Ist Nazl Fis Nucl, Largo Pontecorvo 3, I-56127 Pisa, Italy.

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 Pade 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.

Journal/Review: PHYSICAL REVIEW B

Volume: 97 (3)      Pages from: 35103-1  to: 35103-9

More Information: We thank M. Ce, L. Mazza, and R. Rota for fruitful discussions. We acknowledge the CINECA award under the ISCRA initiative for the availability of high performance computing resources and support. A.B. and C.C. acknowledge support from ERC (via Consolidator Grant CO RPHO No. 616233). R.F acknowledges support by EU-QUIC, CRF, Singapore Ministry of Education, CPR-QSYNC, SNS-Fondi interni 2014, and the Oxford Martin School. J.J. acknowledges support from the National Natural Science Foundation of China Grant No. 11605022, Natural Science Foundation of Liaoning Province Grant No. 2015020110, and the Xinghai Scholar Cultivation Plan and the Fundamental Research Funds for the Central Universities. O.V. thanks Fundacion Rafael del Pino, Fundacion Ramon Areces and RCC Harvard.
KeyWords: Driven
DOI: 10.1103/PhysRevB.97.035103

Citations: 39
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