Roughening Transition in Quantum Circuits
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915689117253632 |
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| author | Ha, Hyunsoo Huse, David A. Sommers, Grace M. |
| author_facet | Ha, Hyunsoo Huse, David A. Sommers, Grace M. |
| contents | We explore a roughening phase transition that occurs in the entanglement dynamics of certain quantum circuits. Viewing entanglement as the free energy of a membrane in a circuit-defined random environment, there is a competition between membrane smoothing due to lattice pinning and roughening due to disorder in the circuit. In particular, we investigate the randomness-induced roughening transition of the entanglement membrane in a (3+1)-dimensional Clifford circuit model, by calculating the entanglement entropy for various bipartitions. We further construct a scaling theory for membranes tilted away from lattice planes, uncovering new scaling forms and a crossover to a previously unexplored critical "tilted regime". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11187 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Roughening Transition in Quantum Circuits Ha, Hyunsoo Huse, David A. Sommers, Grace M. Quantum Physics Statistical Mechanics We explore a roughening phase transition that occurs in the entanglement dynamics of certain quantum circuits. Viewing entanglement as the free energy of a membrane in a circuit-defined random environment, there is a competition between membrane smoothing due to lattice pinning and roughening due to disorder in the circuit. In particular, we investigate the randomness-induced roughening transition of the entanglement membrane in a (3+1)-dimensional Clifford circuit model, by calculating the entanglement entropy for various bipartitions. We further construct a scaling theory for membranes tilted away from lattice planes, uncovering new scaling forms and a crossover to a previously unexplored critical "tilted regime". |
| title | Roughening Transition in Quantum Circuits |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2506.11187 |