Controlling entanglement at absorbing state phase transitions in random circuits

Abstract

Many-body unitary dynamics interspersed with repeated measurements display a rich phenomenology hallmarked by measurement-induced phase transitions. Employing feedback-control operations that steer the dynamics toward an absorbing state, we study the entanglement entropy behavior at the absorbing state phase transition. For short-range control operations, we observe a transition between phases with distinct sub-extensive scalings of entanglement entropy. In contrast, the system undergoes a transition between volume-law and area-law phases for long-range feedback operations. The fluctuations of entanglement entropy and of the order parameter of the absorbing state transition are fully coupled for sufficiently strongly entangling feedback operations. In that case, entanglement entropy inherits the universal dynamics of the absorbing state transition. This is, however, not the case for arbitrary control operations, and the two transitions are generally distinct. We quantitatively support our results by introducing a framework based on stabilizer circuits with classical flag labels. Our results shed new light on the problem of observability of measurement-induced phase transitions.

4+6pp, comments welcome!

References in corpus (20)

• Critical properties of the measurement-induced transition in random quantum circuits
• Bipartite entanglement and entropic boundary law in lattice spin systems
• Ground state entanglement and geometric entropy in the Kitaev's model
• Postselection-free entanglement dynamics via spacetime duality
• Entanglement Transition in the Projective Transverse Field Ising Model
• Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer circuits
• Monitored Open Fermion Dynamics: Exploring the Interplay of Measurement, Decoherence, and Free Hamiltonian Evolution
• Transitions in the learnability of global charges from local measurements
• Enhanced entanglement negativity in boundary driven monitored fermionic chains
• Charge fluctuation and charge-resolved entanglement in a monitored quantum circuit with $U(1)$ symmetry
• Entanglement enhanced metrology with quantum many-body scars
• Topological order and entanglement dynamics in the measurement-only XZZX quantum code
• Exact dynamics in dual-unitary quantum circuits with projective measurements
• Measurement induced entanglement transition in two dimensional shallow circuit
• KPZ physics and phase transition in a classical single random walker under continuous measurement
• A Monte Carlo investigation of the critical behavior of Stavskaya's probabilistic cellular automaton
• Bridging the gap between classical and quantum many-body information dynamics
• Long-Range Bell States from Local Measurements and Many-Body Teleportation without Time-Reversal
• Entanglement structure in the volume-law phase of hybrid quantum automaton circuits
• Entanglement transitions from restricted Boltzmann machines

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