Level-dynamic approach to the excited spectra of the Jahn-Teller model – kink-train lattice and ‘glassy’ quantum phase

Abstract

Abstract. The dynamics of excited phonon spectra of the E ⊗ e Jahn-Teller (hereafter, JT) model mapped onto the generalized Calogero-Moser (gCM) gas of pseudoparticles implies a complex interplay between nonlinearity and fluctuations of quasiparticle trajectories. A broad crossover appears in a pseudotime (interaction strength) between the initial oscillator region and the nonlinear region of the kink-train lattice as a superlattice of the kink-antikink gCM trajectories. The local nonlinear fluctuations, nuclei (droplets) of the growing kink phase arise at the crossover, forming a new intermediate droplet "glassy" phase as a precursor of the kink phase. The "glassy" phase is related to a broad maximum in the entropy of the probability distributions of pseudoparticle accelerations, or level curvatures. The kink-train lattice phase with multiple kink-antikink collisions is stabilised by long-range correlations when approaching a semiclassical limit. A series of bifurcations of nearest-level spacings were recognised as signatures of pre-chaotic behaviour at the quantum level in the kink phase. Statistical characteristics can be seen to confirm the coexistence within all of the spectra of both regularity and chaoticity to a varying extent (nonuniversality). Regions are observed within which one of the phases is dominant.PACS. 31.30.-i Corrections to electronic structure -63.22.+m Phonons or vibrational states in lowdimensional structures and nanoscale materials -05.45.-a Nonlinear dynamics and chaos -34.10.+x General theories and models of atomic and molecular collisions and interactions

Entropy Squeezing in Coupled Field-Superconducting Charge Qubit with Intrinsic Decoherence

“…Besides the standard form in terms of quadrature variances, there is another formulation in terms of entropies, the so-called entropic uncertainty relations (EUR). [1,2] Recently, from the stand point of quantum information theory, the entropy squeezing phenomena which results from EUR have been investigated in the cavity-atom [3] and the electron-phonon [4] interacting system. The connections between EUR and entanglement have been also investigated, [5] and some separability criteria in terms of EUR have been derived.…”