Impact of quantum phase transitions on excited-level dynamics

2008/07/31 by Pavel Cejnar, Pavel Stránský, Pavel Stransky · 3 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Cusp (singularity) #Excited state #Geometry #Ground state #Mathematics #Phase transition #Physics #Quantum #Quantum chaos and dynamical systems #Quantum critical point #Quantum mechanics #Quantum phase transition #Quantum, superfluid, helium dynamics #Statistical physics #nucl-th #quant-ph

paper · pdf · doi:10.1103/physreve.78.031130

published as Physical Review E 78, 031130 (2008) · 6 pages, 4 figures

arxiv created 2008/09/15 · openalex publication_date 2008/09/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The influence of quantum phase transitions on the evolution of excited levels in the critical parameter region is discussed. The analysis is performed for one- and two-dimensional systems with first- and second-order ground-state transitions. Examples include the cusp and nuclear collective Hamiltonians. Applications in systems of higher dimensions are possible.

Citations

• Validity of many-body approximation methods for a solvable model
• How generic scale invariance influences quantum and classical phase transitions
• Movimientos campesinos en Francia: la Provenza
• Quantum critical phenomena
• Quantum phase transitions

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