Quench Dynamics of Topological Maximally-Entangled States

We investigate the quench dynamics of the one-particle entanglement spectra (OPES) for systems with topologically nontrivial phases. By using dimerized chains as an example, it is demonstrated that the evolution of OPES for the quenched bi-partite systems is governed by an effective Hamiltonian which is characterized by a pseudo spin in a time-dependent pseudo magnetic field $\vec{S}(k,t)$. The existence and evolution of the topological maximally-entangled edge states are determined by the winding number of $\vec{S}(k,t)$ in the $k$-space. In particular, the maximally-entangled edge states survive only if nontrivial Berry phases are induced by the winding of $\vec{S}(k,t)$. In the infinite time limit the equilibrium OPES can be determined by an effective time-independent pseudo magnetic field \vec{S}_{\mb{eff}}(k). Furthermore, when maximally-entangled edge states are unstable, they are destroyed by quasiparticles within a characteristic timescale in proportional to the system size.Comment: 5 pages, 3 figure

Completing College: A National View of Student Attainment Rates

College completion, earning a degree or certificate, is considered to be a key college success outcome, supported by every educational policymaker. Yet, institutions and policymakers in the U.S. know surprisingly little about the rates of completion for students who follow all but the most traditional of postsecondary pathways. This is because traditional graduation rate calculations are institution based and only count students who finish at the same institution where they started. Building on findings from previous reports in the National Student Clearinghouse Research Center's Signature Report series, this new report measures this key college success outcome -- rates of first completion -- encompassing postsecondary credentials of all levels and types at any institution in any state, whether it is the first, second, third, or more, attended.Students in the U.S. pursuing a postsecondary education move along pathways that are increasingly complex. In its second Signature Report, Transfer and Mobility: A National View of Pre-Degree Student Movement in Postsecondary Institutions (Hossler et al., 2012), the National Student Clearinghouse Research Center found that one-third of first-time college students attended multiple institutions before earning a degree or certificate. Nontraditional students, like those who postpone college enrollment after high school, attend college part time, and/or have full-time jobs, have become the new majority among U.S. college students. This emphasizes the limitations of continuing to rely on traditional measures of student and institutional success that describe only first-time full-time students who never enroll at any institution other than their starting institution. Such measures fail to capture the full range of outcomes among today's college students. They also fail to recognize institutional and policy efforts to support students pursuing diverse pathways.This report draws on the Clearinghouse database's near-census national coverage of enrollments and awarded degrees to explore the six-year outcomes of a cohort of first-time-in-college degree-seeking students who started in fall 2006 (N=1,878,484)

Edge State, Entanglement Entropy Spectra and Critical Hopping Coupling of Anisotropic Honeycomb Lattice

For a bipartite honeycomb lattice, we show that the Berry phase depends not only on the shape of the system but also on the hopping couplings. Using the entanglement entropy spectra obtained by diagonalizing the block Green's function matrices, the maximal entangled state with the eigenvalue $\lambda_m=1/2$ of the reduced density matrix is shown to have one-to-one correspondence to the zero energy states of the lattice with open boundaries, which depends on the Berry phase. For the systems with finite bearded edges along $x$-direction we find critical hopping couplings: the maximal entangled states (zero-energy states) appear pair by pair if one increases the hopping coupling $h$ over the critical couplings $h_c$s.Comment: 4 pages, 4 figure

Pair Production of Scalar Dyons in Kerr-Newman Black Holes

We study the spontaneous pair production of scalar dyons in the near extremal dyonic Kerr-Newman (KN) black hole, which contains a warped AdS$_3$ structure in the near horizon region. The leading term contribution of the pair production rate and the absorption cross section ratio are also calculated using the Hamilton-Jacobi approach and the thermal interpretation is given. In addition, the holographic dual conformal field theories (CFTs) descriptions of the pair production rate and absorption cross section ratios are analyzed both in the $J$-, $Q$- and $P$-pictures respectively based on the threefold dyonic KN/CFTs dualities.Comment: 12 pages, 3 figures, revtex4. arXiv admin note: text overlap with arXiv:1607.0261