Nonanalytic points in the return probability of a quantum state as a function of time, known as dynamical quantum phase transitions (DQPTs), have received great attention in recent years, but the understanding of their mechanism is still incomplete. In our recent work [Phys. Rev. Lett. 126, 040602 (2021)], we demonstrated that one-dimensional DQPTs can be produced by two distinct mechanisms, namely semiclassical precession and entanglement generation, leading to the definition of precession (pDQPTs) and entanglement (eDQPTs) dynamical quantum phase transitions. In this manuscript, we extend and investigate the notion of p- and eDQPTs in two-dimensional systems by considering semi-infinite ladders of varying width. For square lattices, we find that pDQPTs and eDQPTs persist and are characterized by similar phenomenology as in 1D: pDQPTs are associated with a magnetization sign change and a wide entanglement gap, while eDQPTs correspond to suppressed local observables and avoided crossings in the entanglement spectrum. However, DQPTs show higher sensitivity to the ladder width and other details, challenging the extrapolation to the thermodynamic limit especially for eDQPTs. Moving to honeycomb lattices, we also demonstrate that lattices with an odd number of nearest neighbors give rise to phenomenologies beyond the one-dimensional classification.
Physical Review B
We acknowledge support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 850899). S.D.N. also acknowledges funding from the Institute of Science and Technology (IST) Austria, and from the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Skłodowska-Curie Grant Agreement No. 754411.
De Nicola S, Michailidis A, Serbyn M. Entanglement and precession in two-dimensional dynamical quantum phase transitions. Physical Review B. 2022;105. doi:10.1103/PhysRevB.105.165149
De Nicola, S., Michailidis, A., & Serbyn, M. (2022). Entanglement and precession in two-dimensional dynamical quantum phase transitions. Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.105.165149
De Nicola, Stefano, Alexios Michailidis, and Maksym Serbyn. “Entanglement and Precession in Two-Dimensional Dynamical Quantum Phase Transitions.” Physical Review B. American Physical Society, 2022. https://doi.org/10.1103/PhysRevB.105.165149.
S. De Nicola, A. Michailidis, and M. Serbyn, “Entanglement and precession in two-dimensional dynamical quantum phase transitions,” Physical Review B, vol. 105. American Physical Society, 2022.
De Nicola S, Michailidis A, Serbyn M. 2022. Entanglement and precession in two-dimensional dynamical quantum phase transitions. Physical Review B. 105, 165149.
De Nicola, Stefano, et al. “Entanglement and Precession in Two-Dimensional Dynamical Quantum Phase Transitions.” Physical Review B, vol. 105, 165149, American Physical Society, 2022, doi:10.1103/PhysRevB.105.165149.