Connected correlations, fluctuations and current of magnetization in the steady state of boundary driven XXZ spin chains
Journal of Statistical Mechanics Theory and Experiment IOP Publishing 2016:2 (2016) 023102
Integrable non-equilibrium steady state density operators for boundary driven XXZ spin chains: observables and full counting statistics
(2015)
Spectral analysis of finite-time correlation matrices near equilibrium phase transitions
EPL (Europhysics Letters) IOP Publishing 108:2 (2014) 20006
Exactly solvable counting statistics in open weakly coupled interacting spin systems.
Physical review letters 112:6 (2014) 067201
Abstract:
We study the full counting statistics for interacting quantum many-body spin systems weakly coupled to the environment. In the leading order in the system-bath coupling, we derive exact spin current statistics for a large class of parity symmetric spin-1/2 systems driven by a pair of Markovian baths with local coupling operators. Interestingly, in this class of systems the leading-order current statistics are universal and do not depend on details of the Hamiltonian. Furthermore, in the specific case of a symmetrically boundary driven anisotropic Heisenberg (XXZ) spin-1/2 chain, we explicitly derive the third-order nonlinear corrections to the current statistics.A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
New Journal of Physics IOP Publishing 14:7 (2012) 073007