کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1854822 | 1529855 | 2015 | 26 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Excited-state quantum phase transitions in systems with two degrees of freedom: II. Finite-size effects Excited-state quantum phase transitions in systems with two degrees of freedom: II. Finite-size effects](/preview/png/1854822.png)
• Oscillatory components of state density and spectral flow studied near ESQPTs.
• Enhanced finite-size precursors of ESQPT caused by fully/partly separable dynamics.
• These precursors appear due to criticality of a subsystem with lower dimension.
• Separability-induced finite-size effects disappear in case of fully chaotic dynamics.
This article extends our previous analysis Stránský 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.
Journal: Annals of Physics - Volume 356, May 2015, Pages 57–82