期刊
PHYSICAL REVIEW LETTERS
卷 126, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.126.040602
关键词
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资金
- Institute of Science and Technology (IST) Austria
- European Union [754411]
- European Research Council (ERC) under the European Union [850899]
- European Research Council (ERC) [850899] Funding Source: European Research Council (ERC)
This letter discusses the concept and nature of dynamical quantum phase transitions (DQPT) in many-body unitary dynamics, classifying DQPT using a matrix product state description. The study distinguishes between precession DQPT and entanglement DQPT, illustrating them using the quantum Ising model. It also mentions the characteristics of precession and entanglement DQPTs, as well as their interplay and complex phenomenology beyond the Ising models.
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 arc 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.
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