Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules
arXiv:2102.12335 · doi:10.21468/SciPostPhys.12.1.002
Abstract
We characterize excited state quantum phase transitions in the two dimensional limit of the vibron model with the quantum fidelity susceptibility, comparing the obtained results with the information provided by the participation ratio. As an application, we perform fits using a four-body algebraic Hamiltonian to bending vibrational data for several molecular species and, using the optimized eigenvalues and eigenstates, we locate the eigenstate closest to the barrier to linearity and determine the linear or bent character of the different overtones.
arXiv comment31 pages, 7 figures, and 4 tables
References in corpus (57)
- Anderson Transitions
- Ground state overlap and quantum phase transitions
- Fidelity approach to quantum phase transitions
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Quantum enhanced measurements without entanglement
- Algebraic models of hadron structure: I. Nonstrange baryons
- Excited state quantum phase transitions in many-body systems
- Fidelity susceptibility, scaling, and universality in quantum critical phenomena
- Quantum phase transitions in the interacting boson model
- Algebraic Models of Hadron Structure II. Strange Baryons
- Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model
- Excited-State Quantum Phase Transitions in Dicke Superradiance Models
- Quantum fidelity in the thermodynamic limit
- Excited-state quantum phase transitions
- Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of fidelity susceptibility
- Quasi dynamical symmetry in an interacting boson model phase transition
- Excited-state quantum phase transitions in many-body systems with infinite-range interaction: Localization, dynamics, and bifurcation
- Universality in the onset of quantum chaos in many-body systems
- Impact of Quantum Phase Transitions on Excited Level Dynamics
- Scaling of the gap, fidelity susceptibility, and Bloch oscillations across the superfluid to Mott insulator transition in the one-dimensional Bose-Hubbard model
- Dynamics in spinor condensates controlled by a microwave dressing field
- Coulomb analogy for nonhermitian degeneracies near quantum phase transitions
- Structure of eigenstates and quench dynamics at an excited state quantum phase transition
- Quantum criticality and dynamical instability in the kicked top
- Lifshitz and Excited State Quantum Phase Transitions in Microwave Dirac Billiards
- Decoherence due to an excited state quantum phase transition in a two-level boson model
- Probing excited-state quantum phase transition in a quantum many body system via out-of-time-ordered correlator
- Excited-state phase transition leading to symmetry-breaking steady states in the Dicke model
- Quantum quench dynamics in Dicke superradiance models
- Fidelity Susceptibility in One-dimensional Disordered Lattice Models
- Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. I. Level dynamics
- Fidelity susceptibility in the two-dimensional transverse field Ising and XXZ models
- Excited-state quantum phase transitions and periodic dynamics
- From thermal to excited-state quantum phase transitions ---the Dicke model
- Excited-state quantum phase transitions in systems with two degrees of freedom: III. Interacting boson systems
- Excited-state quantum phase transitions in spinor Bose-Einstein condensates
- Irreversible processes without energy dissipation in an isolated Lipkin-Meshkov-Glick model
- Fidelity susceptibility in Gaussian Random Ensembles
- Husimi distribution and phase-space analysis of a vibron-model quantum phase transition
- Evolution of spectral properties along the O(6)-U(5) transition in the interacting boson model. II. Classical trajectories
- Fidelity Susceptibility in the Quantum Rabi Model
- Probing the excited-state quantum phase transition through statistics of Loschmidt echo and quantum work
- Thermal and Quantum Phase Transitions in Atom-Field Systems: a Microcanonical Analysis
- Current fidelity susceptibility and conductivity in one-dimensional lattice models with open and periodic boundary conditions
- Effects of excited state quantum phase transitions on system dynamics
- Excited state quantum phase transitions in the bending spectra of molecules
- Excited-state quantum phase transition and the quantum speed limit
- Calculation of Transition State Energies in the HCN-HNC Isomerization with an Algebraic Model
- Excited-state quantum phase transitions in spin-orbit coupled Bose gases
- Nonadiabatic dynamics of the excited states for the Lipkin-Meshkov-Glick model
- Excited-state quantum phase transitions in a two-fluid Lipkin model
- Parity-symmetry-adapted coherent states and entanglement in quantum phase transitions of vibron models
- Dynamical preparation of stripe states in spin-orbit coupled gases
- Identifying the order of a quantum phase transition by means of Wehrl entropy in phase-space
- Transformation brackets between U(n+1) -> U(n) -> SO(n) and U(n+1) -> SO(n+1) -> SO(n)
- Monodromy in Dicke superradiance
- Revival times at quantum phase transitions
Cited by in corpus (11)
- Constant of motion identifying excited-state quantum phases
- Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model I: Static Aspects
- Anharmonicity-induced excited-state quantum phase transition in the symmetric phase of the two-dimensional limit of the vibron model
- Mechanism of dynamical phase transitions: The complex-time survival amplitude
- Excited state quantum phase transition and Loschmidt echo spectra in a spinor Bose-Einstein condensate
- Degeneracy in excited-state quantum phase transitions of two-level bosonic models and its influence on system dynamics
- Relaxation time as a control parameter for exploring dynamical phase diagrams
- Excited-state quantum phase transitions in constrained systems
- Precision magnetometry exploiting excited state quantum phase transitions
- Relativistic meson spectra on ion-trap quantum simulators
- Phenomenological characterization of the isomerization transition state of carbonyl sulfide