Applications are invited for the post of Junior Research Fellow (JRF) in a SERB-funded research project titled “Applications of structured random matrix models to some problems in classical and quantum information theories” under the supervision of Dr. Santosh Kumar (Principal Investigator), Department of Physics, School of Natural Sciences, Shiv Nadar Institution of Eminence (Deemed to be University), Delhi NCR.
Eligible and interested candidates should send their application with a complete CV (having personal and academic details, academic qualifications with percentage of marks, research experiences, publications, name, affiliation, and email address of at least two referees) to Dr. Santosh Kumar (santosh.kumar@snu.edu.in) on or before 9th April 2023. The scanned copies of marksheets/transcripts/testimonials/certificates, a recent passport-size photograph, and other relevant documents are also requested to be attached. Short-listed candidates will be communicated for an online interview on/before 16th April 2023.
Project Synopsis
The aim of the project is explore various random matrix models for applications in classical and quantum information theories. This will involve, among other things, derivation of novel analytical results and their verification using numerical simulations. The analytical results will also be used in the study involving quantum chaotic and complex systems. Exploring universality aspects of eigenvalues and eigenvectors of relevant random matrix models will also be of interest.
Nature of work
Junior Research Fellow (JRF) will be involved, along with the PI, in the derivation of analytical results relevant to classical and quantum information theories using random matrix techniques, which involve tools from linear algebra, probability theory, and multivariate statistics. The JRF will also be responsible for carrying out numerical simulations to corroborate the derived analytical results and to model quantum chaotic and complex systems where the random matrix theory results may be applied.
For more information concerning the nature of research work, please visit Dr. Santosh Kumar’s webpage at https://physics.snu.edu.in/people/faculty/dr-santosh-kumar.
Essential and Desirable Qualifications
- The candidate should have a Master’s degree (with a minimum of 60% marks or an equivalent grade) in Physics from a UGC-recognized University or Institution.
- The candidate should possess good analytical skills and proficiency in linear algebra, probability theory, and multivariate statistics.
- The candidate should have familiarity with basic concepts in classical and quantum information theories.
- Good command in computational techniques and acquaintance with Mathematica.
- Good written and oral communication skills are necessary.
- Candidates having some exposure to Random Matrix Theory and/or related areas will be preferred.
- Candidates with CSIR/UGC-NET/JEST/GATE are encouraged to apply.
Duration of the Project
Initially, six months (contractual), which can be extended further up to the end-date of the project (total project duration = 3 years).
Fellowship
As per DST norms, the fellowship is ₹31,000/- p.m. plus HRA (as per DST norms).
Application deadline: 9th April 2023
About Shiv Nadar Institution of Eminence (SNIoE)
Shiv Nadar Institution of Eminence is a student-centric, multidisciplinary and research-focused University offering a wide range of academic programs at the Undergraduate, Master's and Doctoral levels. The University was set up in 2011 by the Shiv Nadar Foundation, a philanthropic foundation established by Mr. Shiv Nadar, founder of HCL. The University is in the quest to become a globally acclaimed center for learning and innovation in the fields of Engineering, Natural Sciences, Humanities & Social Sciences, and Management. The core of the University consists of a select, world-class faculty with doctoral and postdoctoral experiences from ranked universities worldwide.
Shiv Nadar Institution of Eminence has recently been selected as one of the ten private Institutions of Eminence by the Government. In the NIRF (Government’s National Institutional Ranking Framework), the University has been the youngest institution in the 'top 100' Overall list. In NIRF-2022, it ranked 61 in the 'University' category. Shiv Nadar University has been accredited with a Grade ‘A’ by NAAC (National Assessment and Accreditation Council), valid for five years from 26 November 2019. It is also among a select group of greenfield institutions in the country that was awarded the prestigious Atal Incubation Center grant by the NITI Aayog, Government of India, in the very first round in 2017.
About the Physics Department
The Department of Physics at the Shiv Nadar Institution of Eminence (SNIoE) thrives to integrate teaching with research to bring the excitement of discoveries to the classroom and to involve undergraduate students in the research from an early stage of their academic journey. The research topics in the department of physics span from few atoms to the beginning of the universe to the whole saga of materials of technological and societal importance. In particular, the department is committed to equip all the students, scholars, and faculty members to meet and solve the challenges that contemporary society faces in the area of energy, electronics, environment and economic developments via theoretical or computational or experimental research or a combination of them. The department also encourages active collaborations to pursue interdisciplinary research across the university and the globe. Detailed descriptions of research interests of Physics faculty members and other relevant information can be found at https://physics.snu.edu.in/about/department.
The Physics research laboratories are equipped with basic research facilities, which include clean room, thermal deposition, chemical vapor deposition, pulsed electron deposition, magnetron sputtering, spin coater, ball-milling, vacuum annealing, high temperature oven, high temperature split tube furnaces, hydraulic press, glove box, microwave furnace, fume hoods, bio-safety cabinets, cryostat, XRD, AFM, photoluminescence, Raman spectrometer, PPMS, ellipsometry, FE-SEM, UV-visible-IR spectrophotometers, I-V measurement system, polarization loop-tracer, polarization microscope, fluorescence microscope, surface profiler, viscometer, thermal conductivity, contact angle, and many other instruments within the school of natural sciences.
Besides, the department can avail computational facilities that include a high-performance IBM cluster (“Magus”) having 60-node and 992-cores along with two nodes with GPU processors, delivering a theoretical peak performance of ~30TF. Physics faculty, students and research scholars have full and unlimited access to this facility for their computational research. Also, department has its own computational laboratory where 10 high performance workstations and 20 high-end desktops are available for conducting teaching and research. Several software for molecular modeling, molecular dynamics, quantum chemistry, statistic learning, bioinformatics, and cheminformatics, are also available.
Our central library is a modern 5-storey building and provides online access to the e-books, electronic journals and databases from APS, AIP, ACS, RSC, AMS, SIAM, IOP, Springer, Elsevier, Wiley, Nature, and others.