article published yes Stefano De Nicola author 42832B76-F248-11E8-B48F-1D18A9856A870000-0002-4842-6671 Alexios Michailidis author 36EBAD38-F248-11E8-B48F-1D18A9856A870000-0002-8443-1064 Maksym Serbyn author 47809E7E-F248-11E8-B48F-1D18A9856A870000-0002-2399-5827 MaSe department ISTplus - Postdoctoral Fellowships project Non-Ergodic Quantum Matter: Universality, Dynamics and Control project The analogy between an equilibrium partition function and the return probability in many-body unitary dynamics has led to the concept of dynamical quantum phase transition (DQPT). DQPTs are defined by nonanalyticities in the return amplitude and are present in many models. In some cases, DQPTs can be related to equilibrium concepts, such as order parameters, yet their universal description is an open question. In this Letter, we provide first steps toward a classification of DQPTs by using a matrix product state description of unitary dynamics in the thermodynamic limit. This allows us to distinguish the two limiting cases of “precession” and “entanglement” DQPTs, which are illustrated using an analytical description in the quantum Ising model. While precession DQPTs are characterized by a large entanglement gap and are semiclassical in their nature, entanglement DQPTs occur near avoided crossings in the entanglement spectrum and can be distinguished by a complex pattern of nonlocal correlations. We demonstrate the existence of precession and entanglement DQPTs beyond Ising models, discuss observables that can distinguish them, and relate their interplay to complex DQPT phenomenology. https://research-explorer.ista.ac.at/download/9048/9074/2021_PhysicalRevLett_DeNicola.pdf application/pdfno American Physical Society2021 eng General Physics and Astronomy 0031-9007 1079-7114 2008.04894 00061314820000110.1103/physrevlett.126.040602 1264 S. De Nicola, A. Michailidis, and M. Serbyn, “Entanglement view of dynamical quantum phase transitions,” <i>Physical Review Letters</i>, vol. 126, no. 4. American Physical Society, 2021. De Nicola S, Michailidis A, Serbyn M. 2021. Entanglement view of dynamical quantum phase transitions. Physical Review Letters. 126(4), 040602. De Nicola S, Michailidis A, Serbyn M. Entanglement view of dynamical quantum phase transitions. <i>Physical Review Letters</i>. 2021;126(4). doi:<a href="https://doi.org/10.1103/physrevlett.126.040602">10.1103/physrevlett.126.040602</a> S. De Nicola, A. Michailidis, M. Serbyn, Physical Review Letters 126 (2021). De Nicola, Stefano, et al. “Entanglement View of Dynamical Quantum Phase Transitions.” <i>Physical Review Letters</i>, vol. 126, no. 4, 040602, American Physical Society, 2021, doi:<a href="https://doi.org/10.1103/physrevlett.126.040602">10.1103/physrevlett.126.040602</a>. De Nicola, Stefano, Alexios Michailidis, and Maksym Serbyn. “Entanglement View of Dynamical Quantum Phase Transitions.” <i>Physical Review Letters</i>. American Physical Society, 2021. <a href="https://doi.org/10.1103/physrevlett.126.040602">https://doi.org/10.1103/physrevlett.126.040602</a>. De Nicola, S., Michailidis, A., &#38; Serbyn, M. (2021). Entanglement view of dynamical quantum phase transitions. <i>Physical Review Letters</i>. American Physical Society. <a href="https://doi.org/10.1103/physrevlett.126.040602">https://doi.org/10.1103/physrevlett.126.040602</a> 90482021-02-01T09:20:00Z2025-04-14T07:43:50Z