Solvable Markovian dynamics of lattice quantum spin models

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 and 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:

03 Nov 2017 08:17

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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