Algebraic approach to two-dimensional systems: Shape phase transitions, monodromy, and thermodynamic quantities

DOI10.1103/PhysRevA.77.032115zbMath1255.82015OpenAlexW1995892814MaRDI QIDQ4903128

Francesco Iachello, Francisco Pérez-Bernal

Publication date: 19 January 2013

Published in: Physical Review A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1103/physreva.77.032115

zbMATH Keywords

linear-to-bent transitionstwo-dimensional algebraic models

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (11)

Excited-state quantum phase transitions in systems with two degrees of freedom: Level density, level dynamics, thermal properties ⋮ Some properties of Grassmannian $U(4)/U{(2)}^{2}$ coherent states and an entropic conjecture ⋮ The variational method for density states a geometrical approach ⋮ Phase diagram of coupled benders within a \(U(3)\otimes U(3)\) algebraic approach ⋮ Storing quantum information in a generalised Dicke model via a simple rotation ⋮ Rényi entropy of the \(U(3)\) vibron model ⋮ Entanglement and \(\mathrm{U}(D)\)-spin squeezing in symmetric multi-qudit systems and applications to quantum phase transitions in Lipkin-Meshkov-Glick \(D\)-level atom models ⋮ Delocalization properties at isolated avoided crossings in Lipkin–Meshkov–Glick type Hamiltonian models ⋮ Topological phase transition in a molecular Hamiltonian with symmetry and pseudo-symmetry, studied through quantum, semi-quantum and classical models ⋮ Quantum statistical properties of multiphoton hypergeometric coherent states and the discrete circle representation ⋮ Excited-state quantum phase transitions

Cites Work

• Quantum phase transition in the \(U(3)\) boson system
• Monodromy in the champagne bottle
• Monodromy in the hydrogen atom in crossed fields
• Monodromy, diabolic points, and angular momentum coupling
• Phase structure of interacting boson models in arbitrary dimension
• Features of Nuclear Deformations Produced by the Alignment of Individual Particles or Pairs
• Quantum states in a champagne bottle
• Transformation brackets between U(ν+1)⊃U(ν)⊃SO(ν) and U(ν+1)⊃SO(ν+1)⊃SO(ν)
• Application of the coherent state formalism to multiply excited states
• Monodromy and excited-state quantum phase transitions in integrable systems: collective vibrations of nuclei
• Lie algebras and applications
• Unnamed Item
• Unnamed Item

This page was built for publication: Algebraic approach to two-dimensional systems: Shape phase transitions, monodromy, and thermodynamic quantities