Magic phase transition and non-local complexity in generalized $W$ State
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917071899590656 |
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| author | Catalano, A. G. Odavić, J. Torre, G. Hamma, A. Franchini, F. Giampaolo, S. M. |
| author_facet | Catalano, A. G. Odavić, J. Torre, G. Hamma, A. Franchini, F. Giampaolo, S. M. |
| contents | We employ the Stabilizer Renyi Entropy (SRE) to characterize a quantum phase transition that has so far eluded any standard description and can thus now be explained in terms of the interplay between its non-stabilizer properties and entanglement. The transition under consideration separates a region with a unique ground state from one with a degenerate ground state manifold spanned by states with finite and opposite (intensive) momenta. We show that SRE has a jump at the crossing points, while the entanglement entropy remains continuous. Moreover, by leveraging on a Clifford circuit mapping, we connect the observed jump in SRE to that occurring between standard and generalized $W$-states with finite momenta. This mapping allows us to quantify the SRE discontinuity analytically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19457 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Magic phase transition and non-local complexity in generalized $W$ State Catalano, A. G. Odavić, J. Torre, G. Hamma, A. Franchini, F. Giampaolo, S. M. Quantum Physics Quantum Gases Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory We employ the Stabilizer Renyi Entropy (SRE) to characterize a quantum phase transition that has so far eluded any standard description and can thus now be explained in terms of the interplay between its non-stabilizer properties and entanglement. The transition under consideration separates a region with a unique ground state from one with a degenerate ground state manifold spanned by states with finite and opposite (intensive) momenta. We show that SRE has a jump at the crossing points, while the entanglement entropy remains continuous. Moreover, by leveraging on a Clifford circuit mapping, we connect the observed jump in SRE to that occurring between standard and generalized $W$-states with finite momenta. This mapping allows us to quantify the SRE discontinuity analytically. |
| title | Magic phase transition and non-local complexity in generalized $W$ State |
| topic | Quantum Physics Quantum Gases Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.19457 |