Closed form solution of Lindblad master equations without gain

We present a closed form solution to the eigenvalue problem of a class of master equations that describe open quantum system with loss and dephasing but without gain. The method relies on the existence of a conserved number of excitation in the Hamiltonian part and that none of the Lindblad operators describe an excitation of the system. In the absence of dephasing Lindblad operators, the eigensystem of the Liouville operator can be constructed from the eigenvalues and eigenvectors of the effective non-Hermitian Hamiltonian used in the quantum jump approach. Open versions of spin chains, the Tavis-Cummings model and coupled Harmonic oscillators without gain can be solved using this technique.Comment: 9 page

“La Primavera del Inmigrante”: Media and Voice in the Making of Chicago’s Immigrant Rights’ Movement, 2005-2006

Abstract: As the most draconian legislative bill in modern immigration history, the Sensenbrenner Bill (H.R. 4437) aimed to criminalize the eleven million people living in this country without legal documents. What was intended to be the last nail on the “illegal alien” coffin instead generated a political blowback—it set in motion mass protests on a scale which had no parallel in American history. What began in Chicago on March 10, 2006 became contagious, spreading to the rest of the country at a speed that caught all by surprise. Millions participated in dozens of events in what came to be known as “la primavera del inmigrante.” This paper examines the relationship between media, especially Spanish-language radio, and voice (the mass mobilizations) in Chicago’s two earliest marches. On July 1, 2005 50,000 people marched to protest the Minuteman Project while the March 10 (2006) event was the first national mass action against the Sensenbrenner Bill. Using video, photographs, press clippings and field notes, I argue in this research project that the Spanish language media played a crucial role in both mobilizations, not only in promoting the events but also as main forum where people, mainly immigrants, waged their many concerns regarding all issues related to immigration. On the other hand, people (regardless of legal status) came out by the thousands because the Sensenbrenner Bill affected them in one way or another

Beyond Stemming and Lemmatization: Ultra-stemming to Improve Automatic Text Summarization

In Automatic Text Summarization, preprocessing is an important phase to reduce the space of textual representation. Classically, stemming and lemmatization have been widely used for normalizing words. However, even using normalization on large texts, the curse of dimensionality can disturb the performance of summarizers. This paper describes a new method for normalization of words to further reduce the space of representation. We propose to reduce each word to its initial letters, as a form of Ultra-stemming. The results show that Ultra-stemming not only preserve the content of summaries produced by this representation, but often the performances of the systems can be dramatically improved. Summaries on trilingual corpora were evaluated automatically with Fresa. Results confirm an increase in the performance, regardless of summarizer system used.Comment: 22 pages, 12 figures, 9 table

Universal diagrams for te waves guided by thin films bounded by saturable nonlinear media

It is shown that universal V-b diagrams provide a powerful tool when analyzing the stationary waveguiding properties of the TE waves guided by a thin film bounded by a saturable nonlinear substrate or cladding. For a wide class of nonlinearities, the allowed and forbidden regions of these diagrams, for a stationary guided propagation to occur, display a universal pattern, the marginal loci separating different allowed regions from the forbidden ones being simple functions of only the asymmetry measure of the waveguide and the saturation value of the nonlinear permittivity. Relevant information for device design purposes is summarized on a few diagrams, so general waveguiding properties can be immediately read-off from them, and threshold power-independent values of the normalized thickness of the waveguide for a particular kind of guided wave to be allowed are obtained. Qualitative information concerning both the guided power and the stability of guided waves is also included in the diagrams.Peer ReviewedPostprint (published version

Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory

We derive the relativistic chiral transport equation for massless fermions and antifermions by performing a semiclassical Foldy-Wouthuysen diagonalization of the quantum Dirac Hamiltonian. The Berry connection naturally emerges in the diagonalization process to modify the classical equations of motion of a fermion in an electromagnetic field. We also see that the fermion and antifermion dispersion relations are corrected at first order in the Planck constant by the Berry curvature, as previously derived by Son and Yamamoto for the particular case of vanishing temperature. Our approach does not require knowledge of the state of the system, and thus it can also be applied at high temperature. We provide support for our result by an alternative computation using an effective field theory for fermions and antifermions: the on-shell effective field theory. In this formalism, the off-shell fermionic modes are integrated out to generate an effective Lagrangian for the quasi-on-shell fermions/antifermions. The dispersion relation at leading order exactly matches the result from the semiclassical diagonalization. From the transport equation, we explicitly show how the axial and gauge anomalies are not modified at finite temperature and density despite the incorporation of the new dispersion relation into the distribution function.Comment: 9 pages, no figures. v2: Some comments and more details added, typos fixed and reference list updated. Final version matching the published articl