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.
31 pages, 7 figures, and 4 tables
References in corpus (19)
- Anderson Transitions
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- 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
- Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model
- Excited-state quantum phase transitions
- Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of fidelity susceptibility
- 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
- Coulomb analogy for nonhermitian degeneracies near quantum phase transitions
- Fidelity Susceptibility in One-dimensional Disordered Lattice Models
- Excited-state quantum phase transitions and periodic dynamics
- Excited-state quantum phase transitions in systems with two degrees of freedom: III. Interacting boson systems
- Fidelity Susceptibility in the Quantum Rabi Model
- Husimi distribution and phase-space analysis of a vibron-model quantum phase transition
- Excited-state quantum phase transitions in spin-orbit coupled Bose gases
- Parity-symmetry-adapted coherent states and entanglement in quantum phase transitions of vibron models
- Identifying the order of a quantum phase transition by means of Wehrl entropy in phase-space
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- Mechanism of dynamical phase transitions: The complex-time survival amplitude
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- 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