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Disorder-Induced Entanglement Phase Transitions in Non-Hermitian Systems with Skin Effects
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Non-Hermitian dynamics is ubiquitous in various physical systems. While recent study shows that such a dynamics leads to an area-law scaling of the entanglement entropy due to the non-Hermitian skin effects, it remains unclear how disorder changes the behavior of the entanglement entropy in a non-Hermitian system with skin effects. Here we study the dynamics of a many-body state of free fermions in the paradigmatic Hatano-Nelson model with open boundaries, and find that the area-law behavior of the entanglement entropy in the pristine Hatano-Nelson model develops into a logarithmic scaling for small disorder strength. As we further increase the disorder strength, the system reenters an area-law regime through an entanglement phase transition. At the critical point, the entanglement entropy exhibits a universal algebraic scaling. We further demonstrate the absence of a conformal invariance in the log-law regime by examining the subsystem entanglement entropy, the connected correlation function and the mutual information. Finally, we show the existence of disorder induced entanglement phase transitions in the Hatano-Nelson model with periodic boundaries.
Forward citations
Cited by 4 Pith papers
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Interactions expand the localization critical point of a nonreciprocal quasicrystal into an intermediate mobility edge phase, and bound boson pairs acquire a tunable non-Hermitian skin effect.
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Noisy Monitored Quantum Circuits
A review showing that in noisy monitored quantum circuits, any noise enforces area-law entanglement with characteristic q^{-1/3} scaling and noise-correlation-dependent information-protection timescales.
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