Statistical Physics of Complex Quantum Systems -Studies of Quantum Chaos and Many body Localization Theoretical

Applications are invited for the post of Junior Research Fellow (JRF) in a “Shiv Nadar Institution of Eminence (SN IoE) – Delhi-NCR” funded Research Project on the broad Topic : “Statistical Physics of Complex Quantum Systems : Studies of Quantum Chaos and Many-body Localization (THEORETICAL)”, under the supervision of Dr. Subhra Sen Gupta (Principal Investigator, PI), Department of Physics, School of Natural Sciences, Shiv Nadar Institution of Eminence (Deemed to be University), Delhi NCR. The candidate will have a chance of being absorbed into the SN IoE Ph.D. program, upon successful qualification of the Ph.D. Entrance process, in the near future.

Application Process : Eligible and interested candidates should send their application (via email) with a complete CV (having personal and academic details, academic qualifications with percentage of marks, research experiences, publications, and the names, affiliations, and email addresses of two Referees) to Dr. Subhra Sen Gupta ([email protected]) on or before 10^th November 2025, and with a copy marked to Ms. Kishmish Gurbani ([email protected]). Scanned copies of marksheets/transcripts/certificates, a recent passport- size photograph, and other relevant documents are also to be attached with the Application email. The email should have a Subject Line in the following format: “Application for a SN IoE Funded JRF Position | Candidate Name”.

1. Project Synopsis

The Project concerns the understanding Chaos, Thermalization and Many-body Localization (MBL) in Complex Quantum Systems using Theoretical Methods like Random Matrix Theory (RMT), Non-linear Dynamics, Multifractality Analysis, the Renormalization Group etc. and Computational Methods like Exact Diagonalization, Iterative Diagonalization etc. Some possible areas of interest would be the Investigation of Spectral Statistics and Properties of the Many-body Wavefunctions for disordered, interacting complex quantum systems and their extent of Localization (MBL), using tools like Symmetry Analysis, Number of Principal Components (NPC)/Inverse Participation Ratio (IPR) and Multifractality analysis, both in the Integrable as well as in the Quantum Chaotic regimes, as also in the NEE (Non- ergodic extended) regime; Out-of-Time-Order Correlators (OTOC’s) of Quantum chaotic systems or

other Complex Quantum systems, as a quantum analogue of the Lyapunov exponent; Chaos in Quantum Spin systems with a variety of interactions with/without disorder etc.

2.Nature of Work

The Junior Research Fellow (JRF), in close consultation with the PI, will be responsible for modeling various Complex Physical Systems, mainly in the Quantum Domain (but also sometimes classical models) that may exhibit chaotic or other complex behaviour. Studies of Quantum Integrability and crossovers into non-integrable regimes by tuning of model parameters is also of interest. Systems of interest would include interacting and disordered Spin or Fermionic Systems etc. The studies will involve the techniques of Random Matrix Theory (RMT), Multifractality Analysis, Singular Value Decomposition (SVD), Renormalization Group or other methods that the situation may demand. In addition to analytical work, she/he may also be required to do coding in Fortran 95/C++/Python or any other comparable language as well as use the Codes developed previously in the group (mainly in Fortran 95). These may involve techniques like Exact Diagonalization, Iterative Diagonalization, Spectral Analysis etc. The candidate will also be interpreting the results obtained from such procedures in close consultation with the PI. From time to time the selected candidate may also be required to assist with some teaching related duties.

3. Objectives

• Building/proposing minimalistic but effective models for Complex Quantum Systems that usually exhibit both interactions and disorder.
• Solving such models using various Analytical Approximations and/or Numerical
• Interpreting such results to understand the physical trends and systematics of such systems and possible emergent behaviour.
• Ultimately compile and publish the significant findings in standard Peer Reviewed

4. Essential and Desirable Qualifications

• The candidate should have a Master’s Degree (with a minimum of 55% marks or an equivalent grade, but a First Class or equivalent is preferred) in Physics from a UGC-recognized University or Institution. A 4-Year B.Sc. (Research) or equivalent degree, from a recognized University/Institute will also be
• Candidates with CSIR/UGC-NET/JEST/GATE are encouraged to
• Good Written and Oral communication skills (in English) are
• The candidate should be well-versed in Quantum Mechanics, Statistical Physics and Condensed Matter Physics at the Masters level (a Masters project in Quantum Mechanics or Condensed Matter Theory would be ideal), and would be preferred if they additionally have some exposure to Classical Chaos and Nonlinear Dynamics, either via a Course or a Research Project, but it is not mandatory.
• The candidate should preferably have some programming experience in a standard Programming Language Fortran 95/C++/Python etc. and some familiarity with Mathematica software.

5.Duration of the Project

Initially 1 Year, and extendable based on satisfactory performance. (The candidate will have a chance of being absorbed into the SN IoE Ph.D. program, upon successful qualification of the Ph.D. Entrance process, in the near future.)

6. Fellowship

The Fellowship is INR 31,000/- per month (Consolidated).

7. Application Deadline: 10^th November 2025

About Shiv Nadar Institution of Eminence (SN IoE)

Shiv Nadar Institution of Eminence (www.snu.edu.in) 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.

The Department of Physics is committed to pursuing research on fundamental and applied problems through an interdisciplinary research approach. The Department of Physics has state-of-the-art laboratory infrastructure and instrumental facilities for synthesis and characterization of bulk/thin films of various materials and their applications.

About the Physics Department at SN IoE

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 8064-Cores (57 Computer Nodes) with 4 GB Memory per Core (amounting to a total Memory of 29.2 TB) along with two GPU Nodes. It also has 12 High Memory Nodes with 16 GB Memory per Core for the High Memory Nodes amounting to a Total of 12.3 TB Memory. This delivers 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 softwares for molecular modeling, molecular dynamics, quantum chemistry, statistical 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.