Non-Markovian skin effect
- URL: http://arxiv.org/abs/2403.14455v1
- Date: Thu, 21 Mar 2024 15:02:50 GMT
- Title: Non-Markovian skin effect
- Authors: Po-Chen Kuo, Shen-Liang Yang, Neill Lambert, Jhen-Dong Lin, Yi-Te Huang, Franco Nori, Yueh-Nan Chen,
- Abstract summary: We show how a non-Markovian environment can modify the Liouvillian skin effect.
We demonstrate that a non-Markovian environment can induce not only a thick skin effect", but also skin-mode coherence.
- Score: 0.6581322884999681
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The Liouvillian skin effect and the non-Hermitian skin effect have both been used to explain the localization of eigenmodes near system boundaries, though the former is arguably more accurate in some regimes due to its incorporation of quantum jumps. However, these frameworks predominantly focus on weak Markovian interactions, neglecting the potentially crucial role of memory effects. To address this, we investigate, utilizing the powerful hierarchical equations of motion method, how a non-Markovian environment can modify the Liouvillian skin effect. We demonstrate that a non-Markovian environment can induce not only a ``thick skin effect", where the skin mode broadens and shifts into the bulk, but also skin-mode coherence, leading to the coherence-delocalization and oscillatory relaxation with a characteristic linear scaling with system size. Remarkably, both the skin-mode and steady-state coherence exhibit resistance to decoherence from additional environmental noise. These findings highlight the profound impact of system-bath correlations on relaxation and localization, revealing unique phenomena beyond conventional Markovian approximations.
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