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- W4226166882 abstract "The competition between scrambling unitary evolution and projective measurements leads to a phase transition in the dynamics of quantum entanglement. Here, we demonstrate that the nature of this transition is fundamentally altered by the presence of long-range, power-law interactions. For sufficiently weak power laws, the measurement-induced transition is described by conformal field theory, analogous to short-range-interacting hybrid circuits. However, beyond a critical power law, we demonstrate that long-range interactions give rise to a continuum of nonconformal universality classes, with continuously varying critical exponents. We numerically determine the phase diagram for a one-dimensional, long-range-interacting hybrid circuit model as a function of the power-law exponent and the measurement rate. Finally, by using an analytic mapping to a long-range quantum Ising model, we provide a theoretical understanding for the critical power law.Received 14 May 2021Accepted 2 November 2021DOI:https://doi.org/10.1103/PhysRevLett.128.010604© 2022 American Physical SocietyPhysics Subject Headings (PhySH)Research AreasDynamical phase transitionsNonequilibrium statistical mechanicsOpen quantum systemsQuantum phase transitionsTechniquesMany-body techniquesQuantum InformationStatistical Physics" @default.
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- W4226166882 date "2022-01-05" @default.
- W4226166882 modified "2023-10-18" @default.
- W4226166882 title "Measurement-Induced Transition in Long-Range Interacting Quantum Circuits" @default.
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- W4226166882 doi "https://doi.org/10.1103/physrevlett.128.010604" @default.
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