Excited-state quantum phase transitions in the anharmonic Lipkin-Meshkov-Glick model: Dynamical aspects.

The standard Lipkin-Meshkov-Glick (LMG) model undergoes a second-order ground-state quantum phase transition (QPT) and an excited-state quantum phase transition (ESQPT). The inclusion of an anharmonic term in the LMG Hamiltonian gives rise to a second ESQPT that alters the static properties of the model [Gamito et al., Phys. Rev. E 106, 044125 (2022)2470-004510.1103/PhysRevE.106.044125]. In the present work, the dynamical implications associated to this new ESQPT are analyzed. For that purpose, a quantum quench protocol is defined on the system Hamiltonian that takes an initial state, usually the ground state, into a complex excited state that evolves on time. The impact of the new ESQPT on the time evolution of the survival probability and the local density of states after the quantum quench, as well as on the Loschmidt echoes and the microcanonical out-of-time-order correlator (OTOC) are discussed. The anharmonity-induced ESQPT, despite having a different physical origin, has dynamical consequences similar to those observed in the ESQPT already present in the standard LMG model.

Excited-state quantum phase transitions in the anharmonic Lipkin-Meshkov-Glick model: Static aspects.

The basic Lipkin-Meshkov-Glick model displays a second-order ground-state quantum phase transition and an excited-state quantum phase transition (ESQPT). The inclusion of an anharmonic term in the Hamiltonian implies a second ESQPT of a different nature. We characterize this ESQPT using the mean field limit of the model. The alternative ESQPT, associated with the changes in the boundary of the finite Hilbert space of the system, can be properly described using the order parameter of the ground-state quantum phase transition, the energy gap between adjacent states, the participation ratio, and the quantum fidelity susceptibility.

Simulation of the Raman spectra of CO2: bridging the gap between algebraic models and experimental spectra.

The carbon dioxide Raman spectrum is simulated within an algebraic approach based on curvilinear coordinates in a local representation. The two main advantages of the present algebraic approach are a possible connection with configuration space and the correct description of systems with either local or normal mode character. The system Hamiltonian and polarizability tensor are expanded in terms of curvilinear coordinates. The curvilinear coordinates are in turn expanded into normal coordinates, obtaining an algebraic representation in terms of normal bosonic operators. A canonical transformation maps the operators into a local algebraic representation. The final step is an anharmonization procedure to local operators. The Raman spectrum of CO2 has been simulated, obtaining results close to experimental accuracy, and polarizability transition moments for the Raman spectral lines between 1150 cm(-1) and 1500 cm(-1) are reported. The comparison between experimental and simulated spectra has provided six new CO2 experimental vibrational terms.

Elastic scattering and reaction mechanisms of the halo nucleus 11Be around the Coulomb barrier.

Collisions induced by (9,10,11)Be on a 64Zn target at the same c.m. energy were studied. For the first time, strong effects of the 11Be halo structure on elastic-scattering and reaction mechanisms at energies near the Coulomb barrier are evidenced experimentally. The elastic-scattering cross section of the 11Be halo nucleus shows unusual behavior in the Coulomb-nuclear interference peak angular region. The extracted total-reaction cross section for the 11Be collision is more than double the ones measured in the collisions induced by (9,10)Be. It is shown that such a strong enhancement of the total-reaction cross section with 11Be is due to transfer and breakup processes.

A novel algebraic scheme for describing coupled benders in tetratomic molecules.

An algebraic scheme for describing the bending dynamics of tetratomic molecules including linear, bent planar, and bent a-planar species is introduced. The correlation diagram linear-cis-bent and linear-trans-bent is constructed. Effective potential energy functions are evaluated by exploiting the method of coherent states. A sample calculation of the bending vibrations of C2H2 in its X1 Sigma(g)+ electronic ground state is performed.

On the Elimination of Spurious Modes in Algebraic Models of Molecular Vibrations.

Spurious states arise naturally in the description of molecular vibrational excitations. In the harmonic approximation such states can be projected out from the physical space exactly. This is in general not the case when anharmonic interactions are considered. We show that within the framework of the symmetry, adapted vibron models which include anharmonicities from the outset, these states can be removed in an exact fashion. Copyright 1999 Academic Press.