Mesterhazy, David; Hebenstreit, Florian (2017). Solvable Markovian dynamics of lattice quantum spin models. Physical review. A - atomic, molecular, and optical physics, 96(1) American Physical Society 10.1103/PhysRevA.96.010104
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We address the real-time dynamics of lattice quantum spin models coupled to single or multiple Markovian dissipative reservoirs using the method of closed hierarchies of correlation functions. This approach allows us to solve a number of quantum spin models exactly in arbitrary dimensions, which is illustrated explicitly with two examples of driven-dissipative systems. We investigate their respective nonequilibrium steady states as well as the full real-time evolution on unprecedented system sizes. Characteristic time scales are derived analytically, which allows us to understand the nontrivial finite-size scaling of the dissipative gap. The corresponding scaling exponents are confirmed by solving numerically for the full real-time evolution of two-point correlation functions.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) 08 Faculty of Science > Institute of Theoretical Physics |
UniBE Contributor: |
Mesterhazy, David, Hebenstreit, Florian |
Subjects: |
500 Science > 530 Physics |
ISSN: |
1050-2947 |
Publisher: |
American Physical Society |
Language: |
English |
Submitter: |
Esther Fiechter |
Date Deposited: |
03 Nov 2017 08:17 |
Last Modified: |
05 Dec 2022 15:07 |
Publisher DOI: |
10.1103/PhysRevA.96.010104 |
ArXiv ID: |
1705.00617 |
BORIS DOI: |
10.7892/boris.106415 |
URI: |
https://boris.unibe.ch/id/eprint/106415 |
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