6 papers
An introduction to monitored quantum systems and quantum trajectories: spectrum, typicality, and phases
Ryusuke Hamazaki, Ken Mochizuki, Hisanori Oshima +1
Thanks to recent experimental advances in simulating and detecting quantum dynamics with high precision and controllability, our understanding of the physics of monitored quantum s…
Transitions of the Lyapunov spectrum and entanglement entropy in monitored quantum dynamics with homogeneous unitary gates
Ken Mochizuki, Ryusuke Hamazaki
We explore the Lyapunov spectrum and entanglement entropy in systems evolved by quantum measurements and spatially homogeneous unitary gates. In models with temporally random and F…
Topology and Spectrum in Measurement-Induced Phase Transitions
Hisanori Oshima, Ken Mochizuki, Ryusuke Hamazaki +1
Competition among repetitive measurements of noncommuting observables and unitary dynamics can give rise to a wide variety of entanglement phases. Here, we propose a general framew…
Threefold Way for Typical Entanglement
Haruki Yagi, Ken Mochizuki, Zongping Gong
A typical quantum state with no symmetry can be realized by letting a random unitary act on a fixed state, and the subsystem entanglement spectrum follows the Laguerre unitary ense…
Measurement-Induced Spectral Transition
Ken Mochizuki, Ryusuke Hamazaki
We show that noisy quantum dynamics exposed to weak measurements exhibit a spectral transition between gapless and gapped phases. To this end, we employ the Lyapunov spectrum obtai…
Multifractality in monitored single-particle dynamics
Kohei Yajima, Hisanori Oshima, Ken Mochizuki +1
We study multifractal properties in time evolution of a single particle subject to repeated measurements. For quantum systems, we consider circuit models consisting of local unitar…