6 problems

Let a monitored random quantum circuit (RQC) have an entanglement transition and a purification transition, and let the spectral transition denote the transition in the Lyapunov sp…

Let $q^\gamma$ satisfy an evolution equation with two Poisson noises, … under the hypothesis … Here $\gamma_1\to\infty$ while $\gamma_2$ remains of order $1$, and the first Poisson…

Let an extended many-body quantum system satisfy the eigenstate thermalization hypothesis (ETH), and consider quantum trajectories generated by monitoring a sufficiently large set…

Strong monitoring localization conjecture. In the double limit $\gamma\to\infty$ and $\hbar/m\to0$ at fixed $\varepsilon$, a solution of the quantum trajectory equation localizes a…

Spike ubiquity conjecture. The phenomenon of spikes is ubiquitous in tightly monitored quantum systems.

Ubiquity conjecture. Any continuously measured quantum system should display fluctuations of the same kind.