Steady-state entanglement scaling in open quantum systems: A comparison between several master equations
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arXiv
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| Format: | Preprint |
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2024
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| author | D'Abbruzzo, Antonio Rossini, Davide Giovannetti, Vittorio Alba, Vincenzo |
| author_facet | D'Abbruzzo, Antonio Rossini, Davide Giovannetti, Vittorio Alba, Vincenzo |
| contents | We investigate the scaling of the fermionic logarithmic negativity (FLN) between complementary intervals in the steady state of a driven-dissipative tight-binding critical chain, coupled to two thermal reservoirs at its edges. We compare the predictions of three different master equations, namely a nonlocal Lindblad equation, the Redfield equation, and the recently proposed universal Lindblad equation (ULE). Within the nonlocal Lindblad equation approach, the FLN grows logarithmically with the subsystem size $\ell$, for any value of the system-bath coupling and of the bath parameters. This is consistent with the logarithmic scaling of the mutual information analytically demonstrated in [Phys. Rev. B 106, 235149 (2022)]. In the ultraweak-coupling regime, the Redfield equation and the ULE exhibit the same logarithmic increase; such behavior holds even when moving to moderately weak coupling and intermediate values of $\ell$. However, when venturing beyond this regime, the FLN crosses over to superlogarithmic scaling for both equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06326 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Steady-state entanglement scaling in open quantum systems: A comparison between several master equations D'Abbruzzo, Antonio Rossini, Davide Giovannetti, Vittorio Alba, Vincenzo Quantum Physics Statistical Mechanics We investigate the scaling of the fermionic logarithmic negativity (FLN) between complementary intervals in the steady state of a driven-dissipative tight-binding critical chain, coupled to two thermal reservoirs at its edges. We compare the predictions of three different master equations, namely a nonlocal Lindblad equation, the Redfield equation, and the recently proposed universal Lindblad equation (ULE). Within the nonlocal Lindblad equation approach, the FLN grows logarithmically with the subsystem size $\ell$, for any value of the system-bath coupling and of the bath parameters. This is consistent with the logarithmic scaling of the mutual information analytically demonstrated in [Phys. Rev. B 106, 235149 (2022)]. In the ultraweak-coupling regime, the Redfield equation and the ULE exhibit the same logarithmic increase; such behavior holds even when moving to moderately weak coupling and intermediate values of $\ell$. However, when venturing beyond this regime, the FLN crosses over to superlogarithmic scaling for both equations. |
| title | Steady-state entanglement scaling in open quantum systems: A comparison between several master equations |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2409.06326 |