Measurement-induced entanglement transitions in the quantum Ising chain: From infinite to zero clicks

By Xhek Turkeshi, Alberto Biella, Rosario Fazio, Marcello Dalmonte, M. Schirò. Physical review B, 2021

210 citations recorded by the source corpus.

We investigate measurement-induced phase transitions in the Quantum Ising chain coupled to a monitoring environment. We compare two different limits of the measurement problem, the stochastic quantum-state diffusion protocol corresponding to infinite small jumps per unit of time and the no-click limit, corresponding to post-selection and described by a non-Hermitian Hamiltonian. In both cases we find a remarkably similar phenomenology as the measurement strength $\gamma$ is increased, namely a sharp transition from a critical phase with logarithmic scaling of the entanglement to an area-law phase, which occurs at the same value of the measurement rate in the two protocols. An effective central charge, extracted from the logarithmic scaling of the entanglement, vanishes continuously at the common transition point, although with different critical behavior possibly suggesting different universality classes for the two protocols. We interpret the central charge mismatch near the transition in terms of noise-induced disentanglement, as suggested by the entanglement statistics which displays emergent bimodality upon approaching the critical point. The non-Hermitian Hamiltonian and its associated subradiance spectral transition provide a natural framework to understand both the extended critical phase, emerging here for a model which lacks any continuous symmetry, and the entanglement transition into the area law.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/0f988febb5791bbe78e92528eaea1c7bade7b8c8

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Citations in the corpus

Measurement-induced entanglement phase transition on a superconducting quantum processor with mid-circuit readout (2022, unknown): “To date, a variety of models exhibiting entanglement transitions have been studied numerically, including random quantum circuits with local Clifford and Haar unitaries [16–19] and higher-dimensional connectivity [17, 20, 24, 25], interacting bosonic and spin chains [26, 27], and symmetric circuits ”
Entanglement and Charge-Sharpening Transitions in U(1) Symmetric Monitored Quantum Circuits (2021, background): “[41] Xhek Turkeshi, Alberto Biella, Rosario Fazio, Marcello”
Random Quantum Circuits (2022, background): “Numerical evidence for this transition has by now been found in a wide range of microscopic models (52, 53, 58, 68, 65, 66, 61, 62, 54, 63, 64, 77, 67).”
Effective Theory for the Measurement-Induced Phase Transition of Dirac Fermions (2021, background): “[85] Xhek Turkeshi, Alberto Biella, Rosario Fazio, Marcello Dal-”