Statistical Mechanics of Monitored Dissipative Random Circuits

Abstract

Dissipation is inevitable in realistic quantum circuits. We examine the effects of dissipation on a class of monitored random circuits that exhibit a measurement-induced entanglement phase transition. This transition has previously been understood as an order-to-disorder transition of an effective classical spin model. We extend this mapping to include on-site dissipation described by the dephasing and spontaneous emission channel and study the corresponding 2D Ising model with ${\mathbb{Z}}_2$-symmetry-breaking interactions. We analyze the dynamical regimes of the mutual information and find that the joint action of monitored measurements and dissipation yields short time, intermediate time and steady state behavior that can be understood in terms of crossovers between different classical domain wall configurations. The presented analysis applies to monitored open or Lindbladian quantum systems and provides a tool to understand entanglement dynamics in realistic dissipative settings and small achievable system sizes.

19 pages, 15 figures

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Cited by in corpus (8)

• Entanglement Structure and Information Protection in Noisy Hybrid Quantum Circuits
• Noise-induced phase transitions in hybrid quantum circuits
• Boundary transfer matrix spectrum of measurement-induced transitions
• Robustness of quantum chaos and anomalous relaxation in open quantum circuits
• Random Quantum Circuits with Time-Reversal Symmetry
• Control-driven critical fluctuations across quantum trajectories
• Measurement-induced entanglement in noisy 2D random circuits
• Noisy Monitored Quantum Circuits