Monitored Open Fermion Dynamics: Exploring the Interplay of Measurement, Decoherence and Free Hamiltonian Evolution

Ladewig, B.; Diehl, S.; Buchhold, M.

doi:10.48550/arxiv.2203.00027

Cited by 1 publication

(4 citation statements)

References 68 publications

(196 reference statements)

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“…We have also shown that the transition can be diagnosed from the bipartite mutual information, but not from the purity of the whole system. Our results complement recent works studying the effect of a dephasing environment on monitored unitary dynamics [98,99].…”

Section: Discussionsupporting

confidence: 89%

“…We emphasize the difference of our setting with respect to Ref. [99], where an additional bulk dephasing channel was added on top of the monitoring process.…”

Section: Monitored Driven Fermionsmentioning

confidence: 99%

“…Before leaving this section, we note that two recent works also explored the role of a dissipative environment for a system that is simultaneously monitored [98,99], although from a different point of view. Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Ref. [99] considered a fermionic chain with a coupling to a dephasing bath at each bulk site in the system. Ref.…”

Section: Introductionmentioning

confidence: 99%

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Enhanced entanglement negativity in boundary driven monitored fermionic chains

Turkeshi,

Piroli,

Schirò

2022

Preprint

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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 γ, the stationary-state negativity shows a logarithmic scaling with system size, transitioning to an area-law scaling as γ 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 γ. Our work unveils the double role of weak monitoring in current-driven open quantum systems, simultaneously damping transport and enhancing entanglement.

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Section: Discussionsupporting

confidence: 89%

“…We emphasize the difference of our setting with respect to Ref. [99], where an additional bulk dephasing channel was added on top of the monitoring process.…”

Section: Monitored Driven Fermionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Ref. [99] considered a fermionic chain with a coupling to a dephasing bath at each bulk site in the system. Ref.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Enhanced entanglement negativity in boundary driven monitored fermionic chains

Turkeshi,

Piroli,

Schirò

2022

Preprint

View full text Add to dashboard Cite

show abstract

Monitored Open Fermion Dynamics: Exploring the Interplay of Measurement, Decoherence and Free Hamiltonian Evolution

Cited by 1 publication

References 68 publications

Enhanced entanglement negativity in boundary driven monitored fermionic chains

Enhanced entanglement negativity in boundary driven monitored fermionic chains

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