Measurments-induced quantum phase transitions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912149400453120 |
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| author | Karevski, Dragi Coppola, Michele Tirrito, Emanuele Collura, Mario |
| author_facet | Karevski, Dragi Coppola, Michele Tirrito, Emanuele Collura, Mario |
| contents | Dynamical phase transitions induced by local projective measurements have attracted a lot of attention in the past few years. It has been in particular argued that measurements may induce an abrupt change in the scaling law of the bipartite entanglement entropy. In this work we show that local projective measurements on a one-dimensional quadratic fermionic system induce a qualitative modification of the time growth of the entanglement entropy, changing from linear to logarithmic. However, in the stationary regime, the logarithmic behavior of the entanglement entropy does not survive in the thermodynamic limit and, for any finite value of the measurement rate, we numerically show the existence of a single area-law phase for the entanglement entropy. We give analytical arguments supporting our conclusions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06440 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Measurments-induced quantum phase transitions Karevski, Dragi Coppola, Michele Tirrito, Emanuele Collura, Mario Statistical Mechanics Quantum Physics Dynamical phase transitions induced by local projective measurements have attracted a lot of attention in the past few years. It has been in particular argued that measurements may induce an abrupt change in the scaling law of the bipartite entanglement entropy. In this work we show that local projective measurements on a one-dimensional quadratic fermionic system induce a qualitative modification of the time growth of the entanglement entropy, changing from linear to logarithmic. However, in the stationary regime, the logarithmic behavior of the entanglement entropy does not survive in the thermodynamic limit and, for any finite value of the measurement rate, we numerically show the existence of a single area-law phase for the entanglement entropy. We give analytical arguments supporting our conclusions. |
| title | Measurments-induced quantum phase transitions |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2412.06440 |