# Dynamics of observables in a q-deformed harmonic oscillator

@article{Pradeep2020DynamicsOO, title={Dynamics of observables in a q-deformed harmonic oscillator}, author={Aditi Pradeep and S. Anupama and C. Sudheesh}, journal={The European Physical Journal D}, year={2020}, volume={74}, pages={1-8} }

Chaos in classical systems has been studied in plenty over many years. Although the search for chaos in quantum systems has been an area of prominent research over the last few decades, the detailed analysis of many inherently chaotic quantum systems based on expectation values of dynamical variables has not been reported in the literature. In this paper, we extend the study of dynamical behaviour using expectation values of variables to a q-deformed harmonic oscillator. The system is found to…

## 6 Citations

### Dynamical Manifestation of Chaotic Behaviour in a q-Tsallis Harmonic Oscillator

- PhysicsInternational Journal of Theoretical Physics
- 2022

Recently, the q-deformed coherent states based on the non-extensive thermodynamics approach have been constructed (Chung et al. 2021 ; Jagannathan and Khan 2020 ; Bendjeffal et al. 2019 ). In this…

### Self-localized solitons of a q-deformed quantum system

- PhysicsCommun. Nonlinear Sci. Numer. Simul.
- 2021

### Probing quantum scars and weak ergodicity-breaking through quantum complexity

- Computer Science
- 2022

The Krylov state (spread) complexity of typical states generated by the time evolution of the PXP Hamiltonian, hosting such states is computed and it is shown that the complexity for the N´eel state revives in an approximate sense, while complexity for a generic ETH-obeying state always increases.

### Quadrature operator eigenstates and energy eigenfunctions of f-deformed oscillators

- PhysicsIndian Journal of Physics
- 2022

This paper obtains the quadrature operator eigenstates and energy eigenfunctions of the prevailing f-deformed oscillators. A definition for quadrature operator for deformed algebra is derived to…

### q-Deformed three-level quantum logic

- PhysicsQuantum Inf. Process.
- 2020

Following Schwinger representation and using q-deformed harmonic oscillators, three-level quantum system (qutrits), as well as one-, two- and three- qutrit q- deformed quantum logic gates are constructed.

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