Boundary-driven Lindblad dynamics of random quantum spin chains : strong disorder approach for the relaxation, the steady state and the currentReport as inadecuate




Boundary-driven Lindblad dynamics of random quantum spin chains : strong disorder approach for the relaxation, the steady state and the current - Download this document for free, or read online. Document in PDF available to download.

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

Abstract : The Lindblad dynamics of the XX quantum chain with large random fields hj the couplings Jj can be either uniform or random is considered for boundary-magnetization-drivings acting on the two end-spins. Since each boundary-reservoir tends to impose its own magnetization, we first study the relaxation spectrum in the presence of a single reservoir as a function of the system size via some boundary-strong-disorder renormalization approach. The non-equilibrium-steady-state in the presence of two reservoirs can be then analyzed from the effective renormalized Linbladians associated to the two reservoirs. The magnetization is found to follow a step profile, as found previously in other localized chains. The strong disorder approach allows to compute explicitly the location of the step of the magnetization profile and the corresponding magnetization-current for each disordered sample in terms of the random fields and couplings.





Author: Cécile Monthus -

Source: https://hal.archives-ouvertes.fr/



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