Dissipative random quantum spin chain with boundary-driving and bulk-dephasing: magnetization and current statistics in the Non-Equilibrium-Steady-State - Archive ouverte HAL Access content directly
Journal Articles Journal of Statistical Mechanics: Theory and Experiment Year : 2017

## Dissipative random quantum spin chain with boundary-driving and bulk-dephasing: magnetization and current statistics in the Non-Equilibrium-Steady-State

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Cécile Monthus

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#### Abstract

The Lindblad dynamics with dephasing in the bulk and magnetization-driving at the two boundaries is studied for the quantum spin chain with random fields $h_j$ and couplings $J_j$ (that can be either uniform or random). In the regime of strong disorder in the random fields, or in the regime of strong bulk-dephasing, the effective dynamics can be mapped onto a classical Simple Symmetric Exclusion Process with quenched disorder in the diffusion coefficient associated to each bond. The properties of the corresponding Non-Equilibrium-Steady-State in each disordered sample between the two reservoirs are studied in detail by extending the methods that have been previously developed for the same model without disorder. Explicit results are given for the magnetization profile, for the two-point correlations, for the mean current and for the current fluctuations, in terms of the random fields and couplings defining the disordered sample.

#### Domains

Physics [physics]

### Dates and versions

cea-01472966 , version 1 (21-02-2017)

### Identifiers

• HAL Id : cea-01472966 , version 1
• ARXIV :
• DOI :

### Cite

Cécile Monthus. Dissipative random quantum spin chain with boundary-driving and bulk-dephasing: magnetization and current statistics in the Non-Equilibrium-Steady-State. Journal of Statistical Mechanics: Theory and Experiment, 2017, 2017, pp.043302. ⟨10.1088/1742-5468/aa64f4⟩. ⟨cea-01472966⟩

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