Entanglement transitions in the quantum Ising chain: A comparison between different unravelings of the same Lindbladian

• URL: http://arxiv.org/abs/2111.11300v4
• Date: Wed, 14 Dec 2022 14:01:53 GMT
• Title: Entanglement transitions in the quantum Ising chain: A comparison between different unravelings of the same Lindbladian
• Authors: Giulia Piccitto and Angelo Russomanno and Davide Rossini
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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