Solvable Markovian dynamics of lattice quantum spin models
| Autor: | Mesterházy, D., Hebenstreit, F. |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 96, 010104 (2017) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.96.010104 |
| Popis: | 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. Comment: 6 pages, 2 figures; version accepted for publication in PRA |
| Databáze: | arXiv |
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