150 citations · 2.4k across the 100 of their papers we have counts for
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Algebraic approach in the study of time-dependent nonlinear integrable systems: Case of the singular oscillator
Jayendra N. Bandyopadhyay, A. Lakshminarayan, Vijay B. Sheorey
The classical and the quantal problem of a particle interacting in one-dimension with an external time-dependent quadratic potential and a constant inverse square potential is stud…
Entangling power of quantized chaotic systems
Arul Lakshminarayan
We study the quantum entanglement caused by unitary operators that have classical limits that can range from the near integrable to the completely chaotic. Entanglement in the eige…
Barnett-Pegg formalism of angle operators, revivals, and flux lines
Arul Lakshminarayan
We use the Barnett-Pegg formalism of angle operators to study a rotating particle with and without a flux line. Requiring a finite dimensional version of the Wigner function to be…
Phase space localization of chaotic eigenstates: Violating ergodicity
Arul Lakshminarayan, Nicholas R. Cerruti, Steven Tomsovic
The correlation between level velocities and eigenfunction intensities provides a new way of exploring phase space localization in quantized non-integrable systems. It can also ser…
Exploring phase space localization of chaotic eigenstates via parametric variation
Nicholas R. Cerruti, Arul Lakshminarayan, Julie H. Lefebvre +1
In a previous Letter [Phys. Rev. Lett. 77, 4158 (1996)], a new correlation measure was introduced that sensitively probes phase space localization properties of eigenstates. It is…
Chaos in a well : Effects of competing length scales
R. Sankaranarayanan, A. Lakshminarayan, V. B. Sheorey
A discontinuous generalization of the standard map, which arises naturally as the dynamics of a periodically kicked particle in a one dimensional infinite square well potential, is…