Excited state quantum phase transitions in many-body systems

DOI10.1016/j.aop.2007.06.011zbMath1137.81050arXiv0707.0325OpenAlexW3103400142MaRDI QIDQ2427480

Pavel Cejnar, M. A. Caprio, Francesco Iachello

Publication date: 13 May 2008

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0325

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Many-body theory; quantum Hall effect (81V70)

Related Items (23)

Classification of excited-state quantum phase transitions for arbitrary number of degrees of freedom ⋮ Chaos in a deformed Dicke model ⋮ Excited-state quantum phase transitions in systems with two degrees of freedom: Level density, level dynamics, thermal properties ⋮ Heat capacity for systems with excited-state quantum phase transitions ⋮ TWA versus semiclassical unitary approximation for spin-like systems ⋮ Signatures of topological phase transitions in higher Landau levels of hgte/cdte quantum wells from an information theory perspective ⋮ Phase diagram of coupled benders within a \(U(3)\otimes U(3)\) algebraic approach ⋮ Monodromy in Dicke superradiance ⋮ Symmetries of the squeeze-driven Kerr oscillator ⋮ A Lagrangian fibration of the isotropic 3-dimensional harmonic oscillator with monodromy ⋮ Adiabatic invariants for the regular region of the Dicke model ⋮ Analytical description of the survival probability of coherent states in regular regimes ⋮ Revealing Correlations Between a System and an Inaccessible Environment ⋮ Thermal and quantum phase transitions in atom-field systems: a microcanonical analysis ⋮ Delocalization properties at isolated avoided crossings in Lipkin–Meshkov–Glick type Hamiltonian models ⋮ First-order quantum phase transitions: test ground for emergent chaoticity, regularity and persisting symmetries ⋮ Quantum phase transitions in Bose-Fermi systems ⋮ Subexponentially growing Hilbert space and nonconcentrating distributions in a constrained spin model ⋮ Excited-state quantum phase transitions in systems with two degrees of freedom. II: Finite-size effects ⋮ Time-delayed feedback control of the Dicke–Hepp–Lieb superradiant quantum phase transition ⋮ Wiseman–Milburn control for the Lipkin–Meshkov–Glick model ⋮ Phase space formulation of the Abelian and non-Abelian quantum geometric tensor ⋮ Excited-state quantum phase transitions

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