Convergence radius of perturbative Lindblad-driven nonequilibrium steady states
We address the problem of analyzing the radius of convergence of perturbative expansion of nonequilibrium steady states of Lindblad-driven spin chains. A simple formal approach is developed for systematically computing the perturbative expansion of small driven systems. We consider the paradigmatic model of an open XXZ spin-1/2 chain with boundary-supported ultralocal Lindblad dissipators and treat two different perturbative cases: (i) expansion in the system-bath coupling parameter and (ii) expansion in the driving (bias) parameter. In the first case (i) we find that the radius of convergence quickly shrinks with increasing the system size, while in the second case (ii) we find that the convergence radius is always larger than 1, and in particular it approaches 1 from above as we change the anisotropy from an easy-plane (XY) to an easy-axis (Ising) regime.
American Physical Society
2017
2017-07-27 14:48:24
1033
quantum mechanics, open systems, spin chains
kvantna mehanika, odprti sistemi, spinske verige
r2
American Physical Society
Humberto C. F.
Lemos
70
Tomaž
Prosen
70
UDK
4
530.145
ISSN pri članku
9
2470-0045
DOI
15
10.1103/PhysRevE.95.042137
COBISS_ID
3
3114852
OceCobissID
13
2048366611
RAZ_Lemos_Humberto_C._F._i2017.pdf
168364
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2018-06-13 13:42:35
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Izvorni URL
2017-07-27 14:52:39