Quantum Trajectory Entanglement in Seeded Boundary Time Crystals
- URL: http://arxiv.org/abs/2607.01335v1
- Date: Wed, 01 Jul 2026 18:00:08 GMT
- Title: Quantum Trajectory Entanglement in Seeded Boundary Time Crystals
- Abstract summary: entanglement spreads among different spin ensembles when a BTC attempts to seed its time-crystalline behavior onto otherwise static spin ensembles.<n>We analyse both the dynamical growth of entanglement in time and the steady-state properties of the system.<n>These findings establish dissipative seeding as a powerful mechanism for controlling quantum correlations in open many-body systems.
- Score: 46.94763753277221
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the entanglement dynamics along quantum trajectories during the seeding of time-crystalline order in a boundary time crystal (BTC). Specifically, how entanglement spreads among different spin ensembles when a BTC attempts to seed its time-crystalline behavior onto otherwise static spin ensembles, through a collective dissipative channel. We analyse both the dynamical growth of entanglement in time and the steady-state properties of the system. Our results reveal two fundamentally distinct regimes. In the seeded BTC phase, the steady-state entanglement entropy between the ensembles grows with system size $N$, accompanied by macroscopic fluctuations along the trajectories. In contrast, in the non-seeded static phase, both the steady-state entanglement and its fluctuations decay exponentially with $N$. The model thus features a measurement-induced phase transition (MIPT) driven by the seeding mechanism. Furthermore, these findings establish dissipative seeding as a powerful mechanism for controlling quantum correlations in open many-body systems, with direct experimental relevance to this class of model without a postselection barrier.
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