Entanglement and charge-sharpening transitions in U (1) symmetric monitored quantum circuits

U Agrawal, A Zabalo, K Chen, JH Wilson, AC Potter… - Physical Review X, 2022 - APS
Monitored quantum circuits can exhibit an entanglement transition as a function of the rate of
measurements, stemming from the competition between scrambling unitary dynamics and …

Many-body quantum chaos and emergence of Ginibre ensemble

S Shivam, A De Luca, DA Huse, A Chan - Physical review letters, 2023 - APS
We show that non-Hermitian Ginibre random matrix behaviors emerge in spatially extended
many-body quantum chaotic systems in the space direction, just as Hermitian random matrix …

Entanglement phase transitions in random stabilizer tensor networks

ZC Yang, Y Li, MPA Fisher, X Chen - Physical Review B, 2022 - APS
We explore a class of random tensor network models with “stabilizer” local tensors which we
name random stabilizer tensor networks (RSTNs). For RSTNs defined on a two-dimensional …

Emergent Replica Conformal Symmetry in Non-Hermitian SYK Chains

P Zhang, SK Jian, C Liu, X Chen - Quantum, 2021 - quantum-journal.org
Recently, the steady states of non-unitary free fermion dynamics are found to exhibit novel
critical phases with power-law squared correlations and a logarithmic subsystem …

Continuous gaussian measurements of the free boson CFT: A model for exactly solvable and detectable measurement-induced dynamics

Y Minoguchi, P Rabl, M Buchhold - SciPost Physics, 2022 - scipost.org
Hybrid evolution protocols, composed of unitary dynamics and repeated, weak or projective
measurements, give rise to new, intriguing quantum phenomena, including entanglement …

Eigenstate thermalization in dual-unitary quantum circuits: Asymptotics of spectral functions

F Fritzsch, T Prosen - Physical Review E, 2021 - APS
The eigenstate thermalization hypothesis provides to date the most successful description of
thermalization in isolated quantum systems by conjecturing statistical properties of matrix …

Statistical mechanics model for Clifford random tensor networks and monitored quantum circuits

Y Li, R Vasseur, M Fisher, AWW Ludwig - arXiv preprint arXiv:2110.02988, 2021 - arxiv.org
We introduce an exact mapping of Clifford (stabilizer) random tensor networks (RTNs) and
monitored quantum circuits, onto a statistical mechanics model. With Haar unitaries, the …

Exact relaxation to Gibbs and non-equilibrium steady states in the quantum cellular automaton Rule 54

K Klobas, B Bertini - SciPost Physics, 2021 - scipost.org
We study the out-of-equilibrium dynamics of the quantum cellular automaton Rule 54 using
a time-channel approach. We exhibit a family of (non-equilibrium) product states for which …

Triunitary quantum circuits

C Jonay, V Khemani, M Ippoliti - Physical Review Research, 2021 - APS
We introduce a class of quantum circuits that are unitary along three distinct “arrows of time.”
These dynamics share some of the analytical tractability of “dual-unitary” circuits, while …

Universal entanglement transitions of free fermions with long-range non-unitary dynamics

P Zhang, C Liu, SK Jian, X Chen - Quantum, 2022 - quantum-journal.org
Non-unitary evolution can give rise to novel steady states classified by their entanglement
properties. In this work, we aim to understand the effect of long-range hopping that decays …