Phase diagram of the dissipative quantum Ising model on a square lattice
Year: 2018
Authors: Jin J.S., Biella A., Viyuela O., Ciuti C., Fazio R., Rossini D.
Autors Affiliation: Dalian Univ Technol, Sch Phys, Dalian 116024, Peoples R China; Univ Paris Diderot, Lab Mat & Phenomenes Quant, CNRS, UMR7162, F-75013 Paris, France; MIT, Dept Phys, Cambridge, MA 02139 USA; Harvard Univ, Dept Phys, Cambridge, MA 02318 USA; Abdus Salaam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy; NEST, Scuola Normale Super, I-56126 Pisa, Italy; Ist Nanosci CNR, I-56126 Pisa, Italy; Univ Pisa, Dipartimento Fis, Largo Pontecorvo 3, I-56127 Pisa, Italy; INFN, Largo Pontecorvo 3, I-56127 Pisa, Italy.
Abstract: The competition between interactions and dissipative processes in a quantum many-body system can drive phase transitions of different order. Exploiting a combination of cluster methods and quantum trajectories, we show how the systematic inclusion of (classical and quantum) nonlocal correlations at increasing distances is crucial to determine the structure of the phase diagram, as well as the nature of the transitions in strongly interacting spin systems. In practice, we focus on the paradigmatic dissipative quantum Ising model: In contrast to the nondissipative case, its phase diagram is still a matter of debate in the literature. When dissipation acts along the interaction direction, we predict important quantitative modifications of the position of the first-order transition boundary. In the case of incoherent relaxation in the field direction, our approach confirms the presence of a second-order transition, while does not support the possible existence of multicritical points. Potentially, these results can be tested in up-to-date quantum simulators of Rydberg atoms.
Journal/Review: PHYSICAL REVIEW B
Volume: 98 (24) Pages from: 241108-1 to: 241108-5
More Information: We thank A. Keesling, M. Lukin, F. Minganti, E. Vicari, and F. Vicentini for fruitful discussions. We are grateful to J. Keeling for a critical reading of the manuscript. 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 CORPHO No. 616233). O.V. thanks Fundacion Ramon Areces and RCC Harvard. J. J. acknowledges support from the National Natural Science Foundation of China via Grants No. 11605022, No. 11775040, and No. 11747317.KeyWords: DynamicsDOI: 10.1103/PhysRevB.98.241108Citations: 42data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-17References taken from IsiWeb of Knowledge: (subscribers only)