Entanglement phases in large-
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 hybrid Brownian circuits with long-range couplings

Sahu, Subhayan; Jian, Shao-Kai; Bentsen, Gregory; Swingle, Brian

doi:10.1103/physrevb.106.224305

Cited by 12 publications

(1 citation statement)

References 68 publications

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“…Later, it is realized that entanglement transitions also exist in general non-unitary dynamics. In particular, Sachdev-Ye-Kitaev (SYK) large-N solvable models with non-Hermitian Hamiltonians have been proposed, where the transition of the 2nd Rényi entropy is mapped to a transition of classical spins [22][23][24][25][26][27]. The corresponding order parameter is the quantum correlation G ud between forward/backward evolution branches on the (replicated) Keldysh contour: the Rényi entropy can be expressed as a correlator of the replica twist operator T r .…”

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confidence: 99%

Full Counting Statistics across the Entanglement Phase Transition of Non-Hermitian Hamiltonians with Charge Conservations

Zhou¹,

Zhou²,

Zhang³

2023

Preprint

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Performing quantum measurements produces not only the expectation value of a physical observable O but also the probability distribution of all possible outcomes. The full counting statistics (FCS) Z(φ, O), a Fourier transform of this distribution, contains the complete information of the measurement. In this work, we study the FCS of Q A , the charge operator in subsystem A, for 1D systems described by non-Hermitian SYK models, which are solvable in the large-N limit. In both the volume-law entangled phase for interacting systems and the critical phase for non-interacting systems, the conformal symmetry emerges, which gives F(φ, Q A ) ≡ log Z(φ, Q A ) ∼ φ 2 log |A|. In short-range entangled phases, the FCS shows area-law behavior F(φ, Q A ) ∼ (1 − cos φ)|∂A|, regardless of the presence of interactions. Our results suggest the FCS is a universal probe of entanglement phase transitions in non-Hermitian systems with conserved charges, which does not require the introduction of multiple replicas. We also discuss the consequence of discrete symmetry, long-range hopping, and generalizations to higher dimensions.

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confidence: 99%