Entanglement transitions in the quantum Ising chain: A comparison between different unravelings of the same Lindbladian
arXiv:2111.11300 · doi:10.1103/PhysRevB.105.064305
Abstract
We study the dynamics of entanglement in the quantum Ising chain with dephasing dissipation in a Lindblad master equation form. We consider two unravelings which preserve the Gaussian form of the state, allowing to address large system sizes. The first unraveling gives rise to a quantum-state-diffusion dynamics, while the second one describes a specific form of quantum-jump evolution, suitably constructed to preserve Gaussianity. In the first case we find a crossover from area-law to logarithm-law entanglement scaling and draw the related phase diagram. In the second case we only find logarithm-law scaling, remarking the different entanglement behavior for different unravelings of the same Lindblad equation. Finally, we compare these outcomes with the predictions of a non-Hermitian Hamiltonian evolution, finding conflicting results.
arXiv comment15 pages, 9 figures. Mistakes in Eq. D5, Fig. 5, Fig. 6 corrected
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