Measurments-induced quantum phase transitions

• URL: http://arxiv.org/abs/2412.06440v1
• Date: Mon, 09 Dec 2024 12:32:56 GMT
• Title: Measurments-induced quantum phase transitions
• Authors: Dragi Karevski, Michele Coppola, Emanuele Tirrito, Mario Collura,
• Abstract summary: Local projective measurements on a one-dimensional quadratic fermionic system induce a change in the time growth of the entanglement entropy. However, in the stationary regime, the logarithmic behavior of the entanglement entropy does not survive in the thermodynamic limit. For any finite value of the measurement rate, we numerically show the existence of a single area-law phase for the entanglement entropy.
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• Abstract: 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.

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