Phase diagram of the dissipative quantum Ising model on a square lattice
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PhysRevB.98.241108.pdf
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Author(s) • • • • •
Jin, Jiasen
Biella, Alberto
Ciuti, Cristiano
Fazio, Rosario
Rossini, Davide
Viyuela Garcia, Oscar
Date Issued
December 2018
Journal
Physical Review B
Publisher
American Physical Society
Citation
Jin, Jiasen et al. "Phase diagram of the dissipative quantum Ising model on a square lattice." Physical Review B 98, 24 (December 2018): 241108 (R) © 2018 American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.98.241108