Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:nucl-th/0504016 · Physical Review C

Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. I. Level dynamics

Stefan G. Heinze, Pavel Cejnar, Jan Jolie, Michal Macek

Published Jan 23, 2006• 50 citations
arXivHTMLPDF

Abstract

We investigate the evolution of quantal spectra and the corresponding wave functions along the [O(6)-U(5)] \ensuremath{\supset} O(5) transition of the interacting boson model. The model is integrable in this regime, and its ground state passes through a second-order structural phase transition. We show that the whole spectrum as a function of the Hamiltonian control parameter as well as structures of all excited states exhibit rather organized and correlated behaviors, which provide deeper insight into the nature of this transitional path.

DOI
10.1103/physrevc.73.014306

Related papers

Quantum Phase Transitions in the Interacting Boson Model: Integrability, Level Repulsion, and Level Crossing

J. M. Arias, J. Dukelsky, J. E. García-Ramos

We study the quantum phase transition mechanisms that arise in the interacting boson model. We show that the second-order nature of the phase transition from U(5) to O(6) may be attributed to quantum integrability, whereas all the first-order phase transitions of the model are due to level repulsion with one singular point of level crossing. We propose a model Hamiltonian with a true first-order phase transition for finite systems due to level crossings.

arXiv:nucl-th/0309004•Physical Review Letters•Oct 14, 2003•64 citations

Statistical analysis of the excited-state quantum phase transitions in the interacting boson model

Wen-Ting Dong, Yu Zhang, B. C. He +4 more

Abstract The spectral fluctuations and transition intensity fluctuations in the excited-state quantum phase transitions (ESQPTs) have been investigated within the framework of the interacting boson model (IBM) by adopting three statistical measures, including the nearest neighbor level spacing distribution P ( S ) measuring the chaoticity (regularity) in energy spectra, the Δ 3 ( L ) statistics of Dyson and Mehta measuring the spectral rigidity and the intensity distribution P ( y ) measuring the chaoticity (regularity) in B ( E 0) transitions. The results indicate that that the ESQPT as a function of the excitation energy may occur as a transition from regular (or semiregular) to highly chaotic if only the associated whole spectrum is chaotic, which fits most of the deformed situations in the IBM including those in the U(5)–SU(3) and SU(3)–O(6) transitional regions. Otherwise, the ESQPT will appear as a transition from regular (or semiregular) to regular such as the cases in the U(5)–O(6) transitional region or those on the ‘Alhassid–Whelan arc’, which represents a nearly regular parameter region connecting the U(5) and SU(3) limits in the IBM.

Journal of Physics G Nuclear and Particle Physics•Jan 20, 2021•13 citations

Excited-state quantum phase transitions in nuclear system and nucleon-pair transfer intensity

Lin CONG, Chang Xiu, Wenting Dong +1 more

Structural evolutions in the U(5)-O(6) quantum phase transition are investigated within the framework of the interacting boson model by comparing the two types of effective order parameters in the ground-state quantum phase transition and excited-state quantum phase transition. It is found that the monopole-pair transfer intensities can show critical behaviors not only in the ground-state quantum phase transition but also in the excited-state quantum phase transition. It is thus suggested that the main features of the ESQPT should persist in nuclear systems.

Zhongguo kexue. Wulixue Lixue Tianwenxue•Sep 16, 2019•1 citation

Emergent spectral degeneracies in the quantum phase transitions in the interacting boson model

Yu Zhang, Qiu‐Yue Li, Xiao-Xia Wang

The spectral degeneracies emerging in the critical region of the interacting boson model are systematically investigated. The results indicate that the level crossings in the transitions from the U(5) to the SU(3) quasidynamical symmetry can induce the approximate spectral degeneracies along the first-order transitional line for large boson number $N$. The remnants of these types of degeneracies in finite-$N$ systems have been preliminarily identified from the low-lying spectra of $^{150}\mathrm{Nd}$. In addition, the similar approximate degeneracies emerging in the phase transition between the U(5) and SO(6) quasidynamical symmetries are parallel emphasized and those in other critical models are also mentioned.

Physical Review C•May 31, 2016•1 citation

Two-particle transfer intensities in excited-state quantum phase transition

Yu Zhang, Wenting Dong

Structural evolutions in the U(5)-O(6) quantum phase transition are investigated within the framework of the interacting boson model. It is found that the d-boson number occupation probabilities and particularly the monopole-pair transfer intensities can show critical behaviors not only in the ground-state quantum phase transition (GSQPT), but also in the excited-state quantum phase transition (ESQPT). It is thus suggested that the main features of the ESQPT should persist in nuclear systems.

AIP conference proceedings•Jan 1, 2019•1 citation

Quantum phase transitions in the U(5)–O(6) large-N limit

Feng Pan, Yu Zhang, Jerry Paul Draayer

The U (5)– O (6) transitional behaviour of the interacting Boson model in the large- N limit is revisited. Some low-lying energy levels, overlaps of the ground state wavefunctions, B ( E 2) transition rate for the decay of the first excited energy level to the ground state, and the order parameters are calculated for different total numbers of bosons. The results show that critical behaviours of these quantities are greatly enhanced with an increase in the total number of bosons N ; in particular, the fractional occupation probability for d bosons in the ground state, the difference between the expectation value of n d in the first excited 0 + state and the ground state, and another quantity related to the isomer shift behave similarly in both the O (6)– U (5) large- N and U (5)– SU (3) phase transitions.

arXiv:nucl-th/0503071•Journal of Physics G Nuclear and Particle Physics•Aug 2, 2005•28 citations
We investigate the evolution of quantal spectra and the corresponding wave functions along the [O(6)-U(5)] \ensuremath{\supset} O(5) transition of the interacting boson model. The model is integrable in this regime, and its ground state passes through a second-order structural phase transition. We show that the whole spectrum as a function of the Hamiltonian control parameter as well as structures of all excited states exhibit rather organized and correlated behaviors, which provide deeper insight into the nature of this transitional path.
Abstract The spectral fluctuations and transition intensity fluctuations in the excited-state quantum phase transitions (ESQPTs) have been investigated within the framework of the interacting boson model (IBM) by adopting three statistical measures, including the nearest neighbor level spacing distribution P ( S ) measuring the chaoticity (regularity) in energy spectra, the Δ 3 ( L ) statistics of Dyson and Mehta measuring the spectral rigidity and the intensity distribution P ( y ) measuring the chaoticity (regularity) in B ( E 0) transitions. The results indicate that that the ESQPT as a function of the excitation energy may occur as a transition from regular (or semiregular) to highly chaotic if only the associated whole spectrum is chaotic, which fits most of the deformed situations in the IBM including those in the U(5)–SU(3) and SU(3)–O(6) transitional regions. Otherwise, the ESQPT will appear as a transition from regular (or semiregular) to regular such as the cases in the U(5)–O(6) transitional region or those on the ‘Alhassid–Whelan arc’, which represents a nearly regular parameter region connecting the U(5) and SU(3) limits in the IBM.
Structural evolutions in the U(5)-O(6) quantum phase transition are investigated within the framework of the interacting boson model by comparing the two types of effective order parameters in the ground-state quantum phase transition and excited-state quantum phase transition. It is found that the monopole-pair transfer intensities can show critical behaviors not only in the ground-state quantum phase transition but also in the excited-state quantum phase transition. It is thus suggested that the main features of the ESQPT should persist in nuclear systems.
The spectral degeneracies emerging in the critical region of the interacting boson model are systematically investigated. The results indicate that the level crossings in the transitions from the U(5) to the SU(3) quasidynamical symmetry can induce the approximate spectral degeneracies along the first-order transitional line for large boson number NNN. The remnants of these types of degeneracies in finite-NNN systems have been preliminarily identified from the low-lying spectra of 150Nd^{150}\mathrm{Nd}150Nd. In addition, the similar approximate degeneracies emerging in the phase transition between the U(5) and SO(6) quasidynamical symmetries are parallel emphasized and those in other critical models are also mentioned.
The U (5)– O (6) transitional behaviour of the interacting Boson model in the large- N limit is revisited. Some low-lying energy levels, overlaps of the ground state wavefunctions, B ( E 2) transition rate for the decay of the first excited energy level to the ground state, and the order parameters are calculated for different total numbers of bosons. The results show that critical behaviours of these quantities are greatly enhanced with an increase in the total number of bosons N ; in particular, the fractional occupation probability for d bosons in the ground state, the difference between the expectation value of n d in the first excited 0 + state and the ground state, and another quantity related to the isomer shift behave similarly in both the O (6)– U (5) large- N and U (5)– SU (3) phase transitions.