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Quantum Fest 2019 Quantum Fest 2019 Eight Festival on Quantum Phenomena, Quantum Control and Quantum Optics. Booklet of Abstracts . Preface It is a pleasure to welcome all the participants to this Eight Festival on Quantum Phe- nomena, Quantum Control and Quantum Optics, organized by Centro de Investigaci´ony de Estudios Avanzados (Cinvestav), Unidad Profesional Interdisciplinaria en Ingenier´ıa y Tecnolog´ıasAvanzadas del I.P.N. (UPIITA-IPN), and the Bar Quantum. The Quantum Fest is one of the results of the scientific and academic collaboration be- tween the Physics Department of Cinvestav and UPIITA-IPN. The aim of this meeting is to bring together students and researchers which are engaged in the subjects of quantum phenomena, quantum control and quantum optics, from both theoretical and experimental approaches, in order to get lively discussions and to enable a closer contact between them. The festival has been celebrated in the Physics Department of Cinvestav (2010, 2011, 2014), in the Tecn´ologicode Monterrey, Campus Estado de M´exico(2012, 2015), and in the UPIITA-IPN (2013, 2016). This year, from October 28 to November 1, we celebrate de eight Quantum Fest in the Physics Department of Cinvestav. This festival would not have been possible without the valuable financial and administrative support of Cinvestav, UPIITA-IPN, and the Bar Quan- tum. We wish for a successful and enjoyable scientific meeting and acknowledge to all the participants whose attendance allows us to celebrate this event. *Editorial note: The abstracts include only the name and institution(s) of the author who is registered as speaker of the related work. The complete list of authors (if there is more than one) will be provided by the speakers in the corresponding talk and/or poster. i . ii QUANTUM FEST ORGANIZATION Organizing Committee Sara Cruz y Cruz (UPIITA-IPN) Nicol´asFern´andez(UPIITA-IPN) Claudia Quintana (Physics Department, Cinvestav) Oscar Rosas-Ortiz (Physics Department, Cinvestav) Sponsors The Quantum Fest 2019 has received financial support from the following institutions and organizations: Centro de Investigaci´ony de Estudios Avanzados (Cinvestav) Unidad Profesional Interdisiplinaria en Ingenier´ıay Tecnolog´ıasAvanzadas del Instituto Polit´ecnicoNacional (UPIITA-IPN) Bar Quantum iii . iv QuantumQuantum Fest 2019 Programme Fest 2019 Programme Monday Tuesday Wednesday Thursday Friday October 28 October 29 October 30 October 31 November 1 09:30-10:00 Registration Registration Registration Haret- Opening Veronique Rosario Celia 10:00-11:00 Codratian Session Hussin Paredes Escamilla Rosu Kurt Bernardo Carlos Torres- Héctor Moya- C. Quintana/ V. Barrera/ 11:00-12:00 Wolf Torres Cessa P. Jiménez G. Morales A. Jaimes/ Coffee Break/ Coffe Break/ Cofee Break/ Cofee Break/ 12:00-13:00 M. Enríquez K. Zelaya Mariana Vargas V.A. Vicente Z. Gress Heber Zepeda- (Colloquium Blas Manuel Gastón García- Fernández Vladislav 13:00-14:00 Physics Rodríguez Calderón (Seminar, Kravchenko Department) Lara HEP Group) 14:00-15:30 Lunch Lunch Lunch Lunch Closure Eduardo Roberto de J. 15:30-16:30 Eric Rowell Juan Rosales Nahmad León Montiel E. Barrios/ A. Contreras- F. Olivar/ Francisco 16:30-17:30 R. Castillo- Astorga/ Poster Session Delgado Pérez Z. Blanco Vladimir Víctor Piotr 17:30-18:30 Poster Session Rabinovich Velázquez Kielanowski Chairpersons of the sessions: • Monday 28 Nicol´asFern´andez(morning) and Kevin Zelaya (afternoon) • Tuesday 29 Oscar Rosas-Ortiz (morning) and Alfonso Jaimes (afternoon) • Wednesday 30 Alonso Contreras (morning) and Claudia Quintana (afternoon) • Thursday 31 V´ıctorBarrera (morning) and Fernando Olivar (afternoon) • Friday 1 Sara Cruz y Cruz (morning) v . vi Booklet Of Abstracts/Quantum Fest 2019 1 PLENARY TALKS Elementary SU(2) operations to manipulate the entropy in large 2-level quantum systems Francisco Delgado, Tecnol´ogicode Monterrey, Mexico Email: [email protected] Abstract: Under the SU(2) decomposition mechanism, we discuss procedures to manipulate the states of large quantum systems conformed by two-level systems. In this approach, the entropy manipulation is considered focal to reach such procedure. ||||||||||||||||||||||||||||||||||||||||{ Testing Bose-Einstein Condensates with Galaxy Rotation Curves Celia Escamilla Rivera, Instituto de Ciencias Nucleares (ICN) {Universidad Nacional Aut´onomade M´exico(UNAM), Mexico Email: [email protected] Abstract: Scalar fields have been proposed as a possible explanation in the search for the fundamental nature of dark matter, among them, relativistic Bose gases is one of the best proposal for scalar field candidates. Indeed, a black hole is a natural astrophysical phenomena that could lead to bound states for the relativistic Bose gas, in other words, we can extend Bose-Einstein condensate around a black hole. Using Tomas-Fermi approximation we study the density distribution of the Bose-Einstein condensates in galaxies, and using SPARC data sampler we perform statistical analyses of the parameters of the Bose gas: a mass parameter, a self-interaction coupling constant and the mass of the black hole (the only astrophysical parameter). We found that a Bose-Einstein condensate can be a strong candidate to explain the fundamental nature of dark matter. ||||||||||||||||||||||||||||||||||||||||{ Non-Hermitian resonance expansions and unitarity Gast´onGarc´ıaCalder´on, Instituto de F´ısica(IF) {Universidad Nacional Aut´onomade M´exico(UNAM), Mexico Email: gaston@fisica.unam.mx Abstract: After an introduction of the notion of resonance and of non-Hermitian resonance- state expansionsin quantum mechanics I address the problem of the time evolution of tun- neling decay to discuss the issue of unitarity, an indispensable physical requirement for a fundamental description of the decay process.It is shown that contrary to other approaches,a resonance expansion involving the full set of resonance states and complex energy eigenvalues satisfies the condition of unitarity. 2 Quantum Fest 2019/Booklet Of Abstracts Ladder functions for classical and quantum exactly solvable systems V´eroniqueHussin, Department of Mathematics and Statistics, University of Montr´eal, Canada Email: [email protected] Abstract: In recent years, ladder functions have been defined in the context of the Hamil- tonian formalism of classical mechanics, and a strong correspondence has been observed for many systems between the classical and quantum objects in terms of their functional depen- dence on the canonical variables x and p. Indeed, ladder functions were constructed for a class of simple solvable classical systems and their form computed by analogy with the form of the corresponding well-known quantum objects. This raised the question as to whether the analogy could be further pursued for more elaborated systems. In particular, the ladder functions of the one-dimensional classical and quantum systems known as Rosen-Morse II (RMII) and curved Kepler-Coulomb (KC) were missing in preceding approaches. We discovered that the ladder functions for these two systems are considerably more elaborate. We will thus discuss the procedure to get them as product of two factor functions, in particular. In this way, we hope to complete the knowledge of this type of functions for the whole list of classical systems corresponding to the quantum systems solved by means of the factorization method. ||||||||||||||||||||||||||||||||||||||||{ Symmetries of the renormalization group equations Piotr Kielanowski, Physcs Department, Cinvestav, Mexico Email: kiel@fis.cinvestav.mx Abstract: ||||||||||||||||||||||||||||||||||||||||{ Practical solution of forward and inverse one-dimensional spectral problems Vladislav V. Kravchenko , Department of Mathematics, Cinvestav-Qu´eretaro,Mexico Email: [email protected] Abstract: The transmutation (transformation) operators are one of the main theoretical tools of the spectral theory [6-8]. In the talk a new approach is presented for solving the clas- sical forward and inverse Sturm-Liouville problems on finite and infinite intervals. It is based on the Gel'fand-Levitan-Marchenko integral equations and recent results on the functional series representations for the transmutation (transformation) operator kernels [1-5]. New rep- resentations of solutions to the Sturm-Liouville equation are obtained revealing the following feature important for practical applications. Partial sums of the series admit estimates in- Booklet Of Abstracts/Quantum Fest 2019 3 dependent of the real part of the square root of the spectral parameter which makes them especially convenient for approximate solution of spectral problems. In particular, a new representation for so-called Jost solutions is obtained reducing all the calculations related to spectral and scattering data to finite intervals instead of the half line or the whole line. This is the case of the spectral density function as well as that of the reflection coefficient in the scattering problem. In a sense this reduction trivializes the classical spectral and scattering problems on infinite intervals previously considered as numerically challenging problems. Numerical methods based on the proposed approach for solving forward problems allow one to compute large sets of eigendata with a nondeteriorating accuracy. Solution of the inverse problems reduces directly to a system of linear algebraic equations. In the talk some numerical illustrations will be presented. [1] V. V. Kravchenko, L. J. Navarro and S. M. Torba, Representation of solutions to the one-
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