Manifolds of exceptional points and effective Zeno limit of an open two-qubit system
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915235342843904 |
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| author | Popkov, Vladislav Presilla, Carlo Salerno, Mario |
| author_facet | Popkov, Vladislav Presilla, Carlo Salerno, Mario |
| contents | We analytically investigate the Liouvillian exceptional point manifolds (LEPMs) of a two-qubit open system, where one qubit is coupled to a dissipative polarization bath. Exploiting a Z_2 symmetry, we block-diagonalize the Liouvillian and show that one symmetry block yields two planar LEPMs while the other one exhibits a more intricate, multi-sheet topology. The intersection curves of these manifolds provide a phase diagram for effective Zeno transitions at small dissipation. These results are consistent with a perturbative extrapolation from the strong Zeno regime. Interestingly, we find that the fastest relaxation to the non-equilibrium steady state occurs on LEPMs associated with the transition to the effective Zeno regime. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_13674 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Manifolds of exceptional points and effective Zeno limit of an open two-qubit system Popkov, Vladislav Presilla, Carlo Salerno, Mario Quantum Physics Statistical Mechanics Mathematical Physics We analytically investigate the Liouvillian exceptional point manifolds (LEPMs) of a two-qubit open system, where one qubit is coupled to a dissipative polarization bath. Exploiting a Z_2 symmetry, we block-diagonalize the Liouvillian and show that one symmetry block yields two planar LEPMs while the other one exhibits a more intricate, multi-sheet topology. The intersection curves of these manifolds provide a phase diagram for effective Zeno transitions at small dissipation. These results are consistent with a perturbative extrapolation from the strong Zeno regime. Interestingly, we find that the fastest relaxation to the non-equilibrium steady state occurs on LEPMs associated with the transition to the effective Zeno regime. |
| title | Manifolds of exceptional points and effective Zeno limit of an open two-qubit system |
| topic | Quantum Physics Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2412.13674 |