Post-doctoral Fellow Theoretical

**Position**:Contract

**Job Id**:3537

**School**:School of Natural Sciences (SNS)

**Department**:Physics

**Job Type**:Contract

**End Date**:January 20, 2025

Post-Doctoral Fellow Theoretical - Strongly Correlated and Complex Systems Group

Job Details

**Position**:Contract

**Job Id**:3537

**School**:School of Natural Sciences (SNS)

**Department**:Physics

**Job Type**:Contract

**End Date**:January 20, 2025

Applications are invited for the post of _Post-doctoral Fellow (PDF)_ on the broad Topic (Theoretical) : _“_**_U_**_n_**_derstanding the Behaviour of Complex (Quantum) Systems using Techniques of Statistical Physics_**_”, _in the _Strongly Correlated and Complex Systems Group_ (PI **:Dr. Subhra Sen Gupta),**Department of Physics, School of Natural Sciences, Shiv Nadar Institution of Eminence (SN IoE), Delhi NCR.

**Research Focus in the Group**

The Group currently concerns itself with the theoretical understanding of properties of mainly Complex Quantum Systems (but also possibly certain Classical systems depending on the exact problem) using the **_Methods of Statistical Physics,_** like _Random Matrix Theory_, _Multifractality Analysis_, the _Renormalization Group_ _etc. _and **_Computational Methods_** like _Exact Diagonalization_ _etc._ Examples of more specific areas include the investigation of the properties of the many-body wavefunctions for disordered, interacting Quantum systems and their extent of Localization using tools like _Number of Principal Components_ (NPC)/_Inverse Participation Ratio_ (IPR) analysis and _Multifractality_ analysis, both in the Integrable as well as in the Quantum Chaotic regime, as also in the NEE (Non-ergodic extended) regime; _Out-of-Time-Order Correlators_ (OTOC’s) of Quantum counterparts of classically chaotic systems or other Complex Quantum systems, as a quantum analogue of the Lyapunov exponent; Statistical Physics of Neural Networks deploying techniques from _Non-linear Dynamics_ and _Non-equilibrium Statistical Mechanics (e.g., path integral methods)_ as well as methods from _Random Matrix Theory (RMT)_ (applied to sparse matrices)_._

**Nature of Work & Job Responsibilities**
- **Objectives**
- Building/proposing _mínimalistic_ but _effective_ models for Complex Quantum (and possibly some Classical) Systems that usually exhibit both _interactions_ and _disorder_.
- Solving such models using various Analytical Approximations and Numerical Methods.
- 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 International Journals.
- **Essential Qualifications & Desired Expertise**

**Duration of the Project**

Initially for 1 Year which may be extended for another year upon satisfactory progress in research work.

**Fellowship**

INR 65000- p.m. (Consolidated).

**Application Process**

**Application Deadline**:20**th** January 2025**

**About Shiv Nadar Institution of Eminence (SN IoE)**
- 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 at SN IoE**

**_Experimental Facilities:_**
- 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._

**_Computational Facilities:_**
- 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 o