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.
Physical Review Letters
S. D. N. 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. A. M. and M. S. were supported by the European Research Council (ERC) under the European Union’s Horizon 2020 Research and Innovation Programme (Grant Agreement No. 850899).
De Nicola S, Michailidis A, Serbyn M. Entanglement view of dynamical quantum phase transitions. Physical Review Letters. 2021;126(4). doi:10.1103/physrevlett.126.040602
De Nicola, S., Michailidis, A., & Serbyn, M. (2021). Entanglement view of dynamical quantum phase transitions. Physical Review Letters. American Physical Society. https://doi.org/10.1103/physrevlett.126.040602
De Nicola, Stefano, Alexios Michailidis, and Maksym Serbyn. “Entanglement View of Dynamical Quantum Phase Transitions.” Physical Review Letters. American Physical Society, 2021. https://doi.org/10.1103/physrevlett.126.040602.
S. De Nicola, A. Michailidis, and M. Serbyn, “Entanglement view of dynamical quantum phase transitions,” Physical Review Letters, 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, Stefano, et al. “Entanglement View of Dynamical Quantum Phase Transitions.” Physical Review Letters, vol. 126, no. 4, 040602, American Physical Society, 2021, doi:10.1103/physrevlett.126.040602.
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