Ceren develops theories to understand quantum matter in and out of equilibrium with analytical and numerical techniques, and search for fundamental principles that govern the many-body systems composed of entangled quantum particles, e.g., atoms, electrons and photons. She also works closely with experimental groups that develop atomic, electronic and photonic technologies to provide theoretical guidance in this search, and utilizes quantum simulators to test her theories in the laboratory.
During her PhD, she studied quantum phase transitions and many-body dynamics with a focus on thermalization and information scrambling, providing insight about the relationship between spontaneous symmetry breaking quantum phase transitions and information scrambling (Phys. Rev. Lett. 123, 140602 (2019)), and how topological order associated with Z2 symmetry could slow down infinite temperature information scrambling (Phys. Rev. B 101, 104415 (2020)). As an ITAMP Fellow, she found evidence for universality in periodically driven quantum chaotic many-body systems beyond random matrix theory (Commun. Phys. 6 (1), 136 (2023)), proposed a diagnosis for quantum ergodicity in aperiodically driven quantum systems (Phys. Rev. Lett. 131 (25), 250401 (2023)), extended the notion of quantum scarring by unstable periodic orbits to the many-body realm and pointed out that the stability and regularity underlie the weak-ergodicity breaking mechanism rather than instability (Phys. Rev. Lett. 132 (2), 020401 (2024), Phys. Rev. B 110 (14), 144302 (2024)). She also developed a theory to describe the chiral cavity induced topology in graphene based materials (Phys. Rev. B 110 (12), L121101 (2024)).
All publications and preprints can be found on Google Scholar.