Quantum financing system is a foreseeable future of finance, which will demonstrate more
agile, accurate, and secured performance. Financial markets and related activities are …

Recent years have seen remarkable development in open quantum systems effectively
described by non-Hermitian Hamiltonians. A unique feature of non-Hermitian topological …

Universality is a powerful concept, which enables making qualitative and quantitative
predictions in systems with extensively many degrees of freedom. It finds realizations in …

We construct Brownian Sachdev-Ye-Kitaev (SYK) chains subjected to continuous monitoring
and explore possible entanglement phase transitions therein. We analytically derive the …

We put forward a phenomenological theory for entanglement dynamics in monitored
quantum many-body systems with well-defined quasiparticles. Within this theory …

The central philosophy of statistical mechanics (stat-mech) and random-matrix theory of
complex systems are that while individual instances are essentially intractable to simulate …

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 …

Repeated local measurements of quantum many-body systems can induce a phase
transition in their entanglement structure. These measurement-induced phase transitions …

Many-body unitary dynamics interspersed with repeated measurements display a rich
phenomenology hallmarked by measurement-induced phase transitions. Employing …

Non-Hermitian quantum many-body systems are attracting widespread interest for their
exotic properties, including unconventional quantum criticality and topology. Here, we study …