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

• PH18D018    SUHAIL AHMAD RATHER

Recent Publications

• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• Out-of-time-order correlators in bipartite nonintegrable systems. Ravi Prakash, Arul Lakshminarayan. Acta Physica Polonica A. 136 . 803 . 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.
• 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.
• 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.
• Diagonal unitary entangling gates and contradiagonal quantum states. http://arxiv.org/abs/1407.1169v1. Arul Lakshminarayan, Zbigniew Puchala, Karol Zyczkowski. Phys. Rev. A. 90. 032303. 2014.
• Quenching and generation of random states in a kicked Ising model. Sunil K. Mishra, Arul Lakshminarayan. Euro. Phys. Lett.. 105. 10002. 2014.
• Entanglement signatures for the dimerization transition in the Majumdar-Ghosh model. M. S. Ramkarthik, V. Ravi Chandra, Arul Lakshminarayan. Phys. Rev. A. 87. 012302. 2013.
• Record statistics in random vectors and quantum chaos. Shashi C. L. Srivastava, Arul Lakshminarayan, Sudhir R. Jain. EPL (Europhysics Letters). 101. 10003. 2013.
• Using Partial Transpose and Realignment to generate Local Unitary Invariants. Udaysinh T. Bhosale, K. V. Shuddhodan, Arul Lakshminarayan. Phys. Rev. A. 87. 052311. 2013.
• On the number of real eigenvalues of products of random matrices and an application to quantum entanglement. Arul Lakshminarayan. J. Phys. A: Math. Theor.. 46. 152003. 2013.
• Localised zero-energy modes in the Kitaev model with vacancy-disorder. Santhosh G., V. Sreenath, Arul Lakshminarayan, Rajesh Narayanan. Phys. Rev. B. 85. 054204. 2012.
• Entanglement between two subsystems, the Wigner semicircle and extreme value statistics. Udaysinh T. Bhosale, Steven Tomsovic, Arul Lakshminarayan. Phys. Rev. A. 85. 062331. 2012.
• On the Kolmogorov-Sinai entropy of many-body Hamiltonian systems. Arul Lakshminarayan, Steven Tomsovic. Phys. Rev. E. 84. 016218. 2011.
• Entanglement optimizing mixtures of two-qubit states. K. V. Shuddhodan, M. S. Ramkarthik, Arul Lakshminarayan. J. Phys. A: Math. Theor.. 44. 345301. 2011.
• Entanglement transitions in random definite particle states. Vikram S Vijayaraghavan, Udaysinh T. Bhosale, Arul Lakshminarayan. Phys. Rev. A. 84. 032306. 2011.
• Fluctuations in classical sum rules. John R. Elton, Arul Lakshminarayan, Steven Tomsovic. Phys. Rev. E. 82. 046223. 2010.
• Exact Minimum Eigenvalue Distribution of an Entangled Random Pure State. Satya N. Majumdar, Oriol Bohigas, Arul Lakshminarayan. J. Stat. Phys.. 131. 33. 2008.

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