• Quantum Chaos
• Quantum Information theory
• Chaos and Transport
• Mathematical Physics

Research interests are in theoretical aspects of dynamical systems, Hamiltonian and quantum chaotic systems, quantum information, especially entanglement, quantum walks, many-body physics, including MBL, ETH and thermalization, random matrix theory and its applications. Quantum combinatorics, OTOCs, tensor networks and dual quantum circuits are some recent (2021) aspects of my work.

• Quantum coherence controls the nature of equilibration in coupled chaotic systems. Jethin J. Pulikkottil, Arul Lakshminarayan, Shashi C. L. Srivastava, Maximilian F. I. Kieler, Arnd Bäcker, Steven Tomsovic. Phys. Rev. E . 107. 024124 .
DOI: https://doi.org/10.1103/PhysRevE.107.024124. arXiv: https://arxiv.org/abs/2204.075612023.
• On classifying absolutely maximally entangled states and the infinitude of inequivalent quantum solutions to the problem of 36 officers of Euler. Suhail Ahmad Rather, N. Ramadas, Vijay Kodiyalam, Arul Lakshminarayan. arXiv:
  https://arxiv.org/abs/2212.067372023.
• Out-of-time-order correlators of nonlocal block-spin and random observables in integrable and nonintegrable spin chains . Rohit Kumar Shukla, Arul Lakshminarayan, Sunil Kumar Mishra. Phys. Rev. B.. 105, . 224307 .
DOI: https://doi.org/10.1103/PhysRevB.105.224307. arXiv: https://arxiv.org/abs/2203.054942203.054942022.
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.105.224307.
• 9 × 4 = 6 × 6: Understanding the quantum solution to the Euler's problem of 36 officers. Karol ?yczkowski, Wojciech Bruzda, Grzegorz Rajchel-Mieldzio?, Adam Burchardt, Suhail Ahmad Rather, Arul Lakshminarayan. arXiv: https://arxiv.org/abs/2204.068002022.
• Construction and local equivalence of dual-unitary operators: from dynamical maps to quantum combinatorial designs . Suhail Ahmad Rather, S. Aravinda, Arul Lakshminarayan. PRX Quantum . 3, . 040331 .
DOI: https://doi.org/10.1103/PRXQuantum.3.040331 https://doi.org/10.1103/PRXQuantum.3.040331 . arXiv: https://arxiv.org/abs/2205.088422022.
• Dual unitaries as maximizers of the distance to local product gates . Shrigyan Brahmachari, Rohan Narayan Rajmohan, Suhail Ahmad Rather, Arul Lakshminarayan. arXiv: https://arxiv.org/abs/2210.133072210.133072022.
• Thirty-six entangled officers of Euler: Quantum solution to an impossible classical problem. Suhail Ahmad Rather, Adam Burchardt, Wojciech Bruzda, Grzegorz Rajchel- Mieldzioć, Arul Lakshminarayan, Karol Å»yczkowski. Phys. Rev. Lett. 128. 080507.
DOI: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.128.080507. arXiv:2104.051222022.
• From dual-unitary to quantum Bernoulli circuits: Role of the entangling power in constructing a quantum ergodic hierarchy. S. Aravinda, Suhail Ahmad Rather, Arul Lakshminarayan. Phys. Rev. Research. 3. 043034.
DOI: https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.3.043034. arXiv:2101.045802021.
• Out-of-time-ordered correlators and the Loschmidt echo in the quantum kicked top: How low can we go?. Sreeram P. G., Vaibhav Madhok, Arul Lakshminarayan. J. Phys. D: Appl. Phys.. 54. 274004.
DOI: https://iopscience.iop.org/article/10.1088/1361-6463/abf8f3. 2021.
• Thermalization of entangling power with arbitrarily weak interactions. Bhargavi Jonnadula, Prabha Mandayam, Karol Å»yczkowski, Arul Lakshminarayan. Phys. Rev. Research. 2. 043126.
DOI: https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.043126. 2020.
• Creating ensembles of dual unitary and maximally entangling quantum evolutions. Suhail Ahmad Rather, S. Aravinda, and Arul Lakshminarayan. Phys. Rev. Lett.. 125. 070501.
DOI: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.125.070501. 2020.
• Entanglement production by interaction quenches of quantum chaotic subsystems. Jethin J. Pulikkottil, Arul Lakshminarayan, Shashi C. L. Srivastava, Arnd Bäcker, Steven Tomsovic. Phys. Rev. E. 101. 032212.
DOI: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.032212. 2020.
• Scrambling in strongly chaotic weakly coupled bipartite systems: Universality beyond the Ehrenfest time-scale. Ravi Prakash, Arul Lakshminarayan. Phys. Rev. B. 101. 121108.
DOI: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.101.121108. 2020.
• Out-of-time-order correlators in bipartite nonintegrable systems. Ravi Prakash, Arul Lakshminarayan. Acta Physica Polonica A. 136 . 803 . 2019.
• Out-of-time-order correlators in bipartite nonintegrable systems. Ravi Prakash, Arul Lakshminarayan. Acta Phys. Polon.. A136. 803-810.
DOI: http://przyrbwn.icm.edu.pl/APP/ABSTR/136/a136-5-23.html. 2019.
• Out-of-time-ordered correlators and quantum walks. Sivaprasad Omanakuttan and Arul Lakshminarayan. Phys. Rev. E. 99. 062128.
DOI: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.99.062128. 2019.
• Quantum signatures of chaos, thermalization and tunneling in the exactly solvable few body kicked top. Shruti Dogra, Vaibhav Madhok, Arul Lakshminarayan. Phys. Rev. E 99. 062217.
DOI: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.99.062217. 2019.

• 2017: (Jan - May) - PH5425-Industrial Lecture/ PH590-Viva Voce (Project)/ PH5930-Seminar; (Jul - Nov) - PH2140-Mathematics on the computer
• 2018: (Jan - May) - PH5440 Self Study/ PH5500 Dynamical Systems; (Jul - Nov) - PH2140 Mathematics on the computer/ PH7080 Foundations in Theoretical Physics
• 2019: (Jan - May) - PH5500 Dynamical Systems; (Jul - Nov) - PH7080 Foundations in Theoretical Physics
• 2020: (Jan - May) - EP2210 Principles of Quantum Mechanics
• 2021: (Jan - May) - EP2210 Principles of Quantum Mechanics/ EP4150 Project/ PH1030 Physics Laboratory I/ PH5400 Viva Voce; (Jul - Nov) - PH1010 Physics I/ PH5292 Project II
• 2022: (Jan - May) - EP2210 Principles of Quantum Mechanics ; (July-Nov) - EP3290 Engg Physics Lab III / PH6021 Introduction to Research
• 2023: (Jan - May) - PH5842 Advanced topics in Quantum Computation and Quantum Information