期刊
ANNALS OF PHYSICS
卷 356, 期 -, 页码 57-82出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2015.02.025
关键词
Quantum phase transitions; Finite-size effects; Oscillatory component of level density; Regular/chaotic dynamics
资金
- Czech Science Foundation [P203-13-07117S]
- CONACyT
- PAPIIT-UNAM, Mexico
- Israel Science Foundation
- Golda Meir Fellowship
This article extends our previous analysis Stransky et al. (2014) of Excited-State Quantum Phase Transitions (ESQPTs) in systems of dimension two. We focus on the oscillatory component of the quantum state density in connection with ESQPT structures accompanying a first-order ground-state transition. It is shown that a separable (integrable) system can develop rather strong finite-size precursors of ESQPT expressed as singularities in the oscillatory component of the state density. The singularities originate in effectively 1-dimensional dynamics and in some cases appear in multiple replicas with increasing excitation energy. Using a specific model example, we demonstrate that these precursors are rather resistant to proliferation of chaotic dynamics. (C) 2015 Published by Elsevier Inc.
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