2,066 research outputs found
Reply to "Comment on 'Inflation with a graceful exit and entrance driven by Hawking radiation' "
No full textThe Comment [J. T. Firouzjaee, preceding Comment, Phys. Rev. D 89, 068301 (2014)] raises two points in regard to our paper [S. K. Modak and D. Singleton, Phys. Rev. D 86, 123515 (2012)]. The first is that one cannot use the tunneling picture to obtain the temperature and particle production rate in the Friedman-Robertson-Walker space-time. The second comment raised by Firouzjaee is that the Hawking-like radiation model for inflation presented in [Modak and Singleton; S. K. Modak and D. Singleton, Int. J. Mod. Phys. D 21, 1242020 (2012)] is inconsistent with the observed scalar and tensor perturbation spectrum. We show that the first comment is beside the point-we do not use the tunneling method in our papers [Modak and Singleton; Modak and Singleton]. The second criticism by Firouzjaee comes from the author evaluating quantities at different times-he evaluates the parameters of our model at the beginning of inflation and then compares this with the scalar and tensor perturbations evaluated at the horizon exit point.From Physical Review D, Vol.89(6), 68302, available online: http://dx.doi.org/10.1103/PhysRevD.89.068302. Copyright ©2014 by American Physical Society.Publisher version: https://doi.org/10.1103/PhysRevD.89.06830
Consultoría para Modak - To Grow Strategy
No full textModak has made financial education accessible for teenagers aged 13 to 17 but has identified a significant gap in reaching children under 13. This younger audience requires a different approach, tailored to their interests, cognitive abilities, and ways of learning. This design project introduces the To Grow strategy, a capsule made up of three key touchpoints (MiniMentor, What’s the Price?, and MoRecap) aimed at fostering exploration, reflection, and recognition in early financial learning.
Through this strategy, Modak is empowered to expand its impact by nurturing a positive relationship with money from an early age, built on emotional and everyday connections between children and their parents. To inform the project, interviews and surveys were conducted with both parents and children to better understand their needs, motivations, and expectations regarding financial learning. The findings revealed a crucial emotional bond between parents and children that can be leveraged to strengthen financial habits through real life experiences. Additionally, it was found that children are more motivated to learn when doing so in playful environments and alongside their caregivers.
As a result, an integrated strategy was developed to promote motivation, joint participation, and experiential financial learning in childhood. This project encourages Modak to pave the way for children to take risks, explore, make mistakes, learn, and build a healthy and confident relationship with money from a young age.Pregrad
Originality for Copyright Protection in Literary Works: After EBC v DB Modak
No full text266-276Originality, can be termed as the grund norm (the basic norm) for copyrightability. However, no one-size-fits-all formula
is adopted by countries on this aspect, and this article first explores the position and benchmarks to determine original
literary work (because even for different ‘works’ the criteria differs). Pursuant to this inquiry of identifying the ambit of the
respective thresholds, the Indian perspective is analysed with special emphasis on the decision delivered by Indian Supreme
Court in DB Modak. The judgement is critiqued to identify lacunae and absurdity in determining the law laid down and its
application in the factual matrix. Finally, subsequent Indian decisions are looked upon by the author to find out the
underlying approach by the courts wrt interpretation of DB Modak and what common threads emerge from them
Entanglement revivals as a probe of scrambling in finite quantum systems
No full textThe entanglement evolution after a quantum quench became one of the tools to distinguish integrable versus chaotic (non-integrable) quantum many-body dynamics. Following this line of thoughts, here we propose that the revivals in the entanglement entropy provide a finite-size diagnostic benchmark for the purpose. Indeed, integrable models display periodic revivals manifested in a dip in the block entanglement entropy in a finite system. On the other hand, in chaotic systems, initial correlations get dispersed in the global degrees of freedom (information scrambling) and such a dip is suppressed. We show that while for integrable systems the height of the dip of the entanglement of an interval of fixed length decays as a power law with the total system size, upon breaking integrability a much faster decay is observed, signalling strong scrambling. Our results are checked by exact numerical techniques in free-fermion and free-boson theories, and by time-dependent density matrix renormalisation group in interacting integrable and chaotic models
Correlation and entanglement spreading in nested spin chains
No full textThe past few years have witnessed the development of a comprehensive theory to describe integrable systems out of equilibrium, in which the Bethe ansatz formalism has been tailored to address specific problems arising in this context. While most of the work initially focused on the study of prototypical models such as the well-known Heisenberg chain, many theoretical results have been recently extended to a class of more complicated nested integrable systems, displaying different species of quasiparticles. Still, in the simplest context of quantum quenches, the vast majority of theoretical predictions have been numerically verified only in systems with an elementary Bethe ansatz description. In this work, we fill this gap and present a direct numerical test of some results presented in the recent literature for nested systems, focusing in particular on the Lai–Sutherland model. Using time-dependent density matrix renormalization group and exact diagonalization methods, we compute the spreading of both correlation functions and entanglement entropy after a quench from a simple class of product initial states. This allows us to test the validity of the nested version of a conjectured formula, based on the quasiparticle picture, for the growth of the entanglement entropy, and the Bethe ansatz predictions for the ‘light-cone’ velocity of correlation functions
Correlation and entanglement spreading in nested spin chains
No full textThe past few years have witnessed the development of a comprehensive theory to describe integrable systems out of equilibrium, in which the Bethe ansatz formalism has been tailored to address specific problems arising in this context. While most of the work initially focused on the study of prototypical models such as the well-known Heisenberg chain, many theoretical results have been recently extended to a class of more complicated nested integrable systems, displaying different species of quasiparticles. Still, in the simplest context of quantum quenches, the vast majority of theoretical predictions have been numerically verified only in systems with an elementary Bethe ansatz description. In this work, we fill this gap and present a direct numerical test of some results presented in the recent literature for nested systems, focusing in particular on the Lai–Sutherland model. Using time-dependent density matrix renormalization group and exact diagonalization methods, we compute the spreading of both correlation functions and entanglement entropy after a quench from a simple class of product initial states. This allows us to test the validity of the nested version of a conjectured formula, based on the quasiparticle picture, for the growth of the entanglement entropy, and the Bethe ansatz predictions for the 'light-cone' velocity of correlation functions
Li and Tse Reply
No full textA Reply to the Comment by R. S. Rao, P. Modak, and B. K. Godwal.NRC publication: Ye
Indian Defence problem: Being a plea for saving Rs. 28 crores a year by immediate indianization etc. of British rank and file only a message of hope for the Indian tax-payer: A study for statesmen, publicists, politicians and military experts, both Indian
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