Entanglement and charge-sharpening transitions in U(1) symmetric monitored quantum circuits

Abstract

Monitored quantum circuits can exhibit an entanglement transition as a function of the rate of measurements, stemming from the competition between scrambling unitary dynamics and disentangling projective measurements. We study how entanglement dynamics in non-unitary quantum circuits can be enriched in the presence of charge conservation, using a combination of exact numerics and a mapping onto a statistical mechanics model of constrained hard-core random walkers. We uncover a charge-sharpening transition that separates different scrambling phases with volume-law scaling of entanglement, distinguished by whether measurements can efficiently reveal the total charge of the system. We find that while Rényi entropies grow sub-ballistically as $\sqrt{t}$ in the absence of measurement, for even an infinitesimal rate of measurements, all average Rényi entropies grow ballistically with time $\sim t$. We study numerically the critical behavior of the charge-sharpening and entanglement transitions in U(1) circuits, and show that they exhibit emergent Lorentz invariance and can also be diagnosed using scalable local ancilla probes. Our statistical mechanical mapping technique readily generalizes to arbitrary Abelian groups, and offers a general framework for studying dissipatively-stabilized symmetry-breaking and topological orders.

Updated some statements and a figure. 29 pages, 17 figures

References in corpus (10)

• The density-matrix renormalization group in the age of matrix product states
• Critical properties of the measurement-induced transition in random quantum circuits
• Measurement-Induced Entanglement Transitions in the Quantum Ising Chain: From Infinite to Zero Clicks
• Observation of measurement-induced quantum phases in a trapped-ion quantum computer
• Postselection-free entanglement dynamics via spacetime duality
• Operator scaling dimensions and multifractality at measurement-induced transitions
• Symmetry enriched phases of quantum circuits
• Spacetime duality between localization transitions and measurement-induced transitions
• Measurement-induced purification in large-N hybrid Brownian circuits
• Measurement-Driven Phase Transition within a Volume-Law Entangled Phase

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• Decodable hybrid dynamics of open quantum systems with Z_2 symmetry
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• Learnability transitions in monitored quantum dynamics via eavesdropper's classical shadows
• Simulating lossy Gaussian boson sampling with matrix product operators
• Observing quantum measurement collapse as a learnability phase transition
• Exponential shortcut to measurement-induced entanglement phase transitions
• Measurement-induced symmetry restoration and quantum Mpemba effect
• Boundary transfer matrix spectrum of measurement-induced transitions
• Experimental demonstration of scalable cross-entropy benchmarking to detect measurement-induced phase transitions on a superconducting quantum processor
• Field theory of monitored, interacting fermion dynamics with charge conservation
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain
• Measurement induced criticality in quasiperiodic modulated random hybrid circuits
• Generalized Zeno effect and entanglement dynamics induced by fermion counting
• Deep thermalization under charge-conserving quantum dynamics
• Measurement-induced phase transitions in monitored infinite-range interacting systems
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• Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors
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• Measurement-Induced Phase Transition in a Disordered XX Spin Chain: A Real-Space Renormalization Group Study
• Measurement-induced criticality in extended and long-range unitary circuits
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