Enhanced entanglement negativity in boundary driven monitored fermionic chains

Abstract

We investigate entanglement dynamics in continuously monitored open quantum systems featuring current-carrying non-equilibrium states. We focus on a prototypical one-dimensional model of boundary-driven non-interacting fermions with monitoring of the local density, whose average Lindblad dynamics features a well-studied ballistic to diffusive crossover in transport. Here we analyze the dynamics of the fermionic negativity, mutual information, and purity along different quantum trajectories. We show that monitoring this boundary-driven system enhances its entanglement negativity at long times, which otherwise decays to zero in absence of measurements. This result is in contrast with the case of unitary evolution where monitoring suppresses entanglement production. For small values of $\gamma$, the stationary-state negativity shows a logarithmic scaling with system size, transitioning to an area-law scaling as $\gamma$ is increased beyond a critical value. Similar critical behavior is found in the mutual information, while the late-time purity shows no apparent signature of a transition, being $O(1)$ for all values of $\gamma$. Our work unveils the double role of weak monitoring in current-driven open quantum systems, simultaneously damping transport and enhancing entanglement.

10 pages, comments are welcome

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Cited by in corpus (14)

• Random Quantum Circuits
• Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer circuits
• Volume-to-Area Law Entanglement Transition in a non-Hermitian Free Fermionic Chain
• Controlling entanglement at absorbing state phase transitions in random circuits
• Disordered monitored free fermions
• Coherence requirements for quantum communication from hybrid circuit dynamics
• Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
• Universal KPZ scaling in noisy hybrid quantum circuits
• Absence of measurement-induced entanglement transition due to feedback-induced skin effect
• Entanglement negativity in a fermionic chain with dissipative defects: Exact results
• Entanglement negativity in a nonequilibrium steady state
• Logarithmic entanglement scaling in dissipative free-fermion systems
• Quantum information spreading in random spin chains
• Universal entanglement entropy in the ground state of biased bipartite systems