Faculty Details

Areas of Interest

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

Current Research

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.

Students

Current PhD Students

Recent Publications

• 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/2204.07561 2023.
• 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/2212.06737 2023.
• 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/2203.05494 2203.05494 2022.
• 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/2204.06800 2022.
• 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/2205.08842 2022.
• 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/2210.13307 2210.13307 2022.
• 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:2104.05122 2022.
• 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:2101.04580 2021.
• 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.

Teaching

• 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