R\'{e}nyi entanglement entropy after a quantum quench starting from insulating states in a free boson system
| Autor: | Kagamihara, Daichi, Kaneko, Ryui, Yamashika, Shion, Sugiyama, Kota, Yoshii, Ryosuke, Tsuchiya, Shunji, Danshita, Ippei |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.107.033305 |
| Popis: | We investigate the time-dependent R\'{e}nyi entanglement entropy after a quantum quench starting from the Mott-insulating and charge-density-wave states in a one-dimensional free boson system. The second R\'{e}nyi entanglement entropy is found to be the negative of the logarithm of the permanent of a matrix consisting of time-dependent single-particle correlation functions. From this relation and a permanent inequality, we obtain rigorous conditions for satisfying the volume-law entanglement growth. We also succeed in calculating the time evolution of the R\'{e}nyi entanglement entropy in unprecedentedly large systems by brute-force computations of the permanent. We discuss possible applications of our findings to the real-time dynamics of noninteracting bosonic systems. Comment: 15 pages, 8 figures. The authors Daichi Kagamihara and Ryui Kaneko contributed equally to this work |
| Databáze: | arXiv |
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