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Published on: May 30, 2014
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Signatures of strange nonchaotic dynamics in a forced quantum system
Arnab Acharya1, Akhil Bhartiya1, Soumitro Banerjee1
1Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Nadia 741246, West Bengal, India.
Physical Review. E
|March 18, 2023
Summary
Quantum dynamics can exhibit strange nonchaotic behavior, similar to classical chaos. This study explores quantum analogs of impact oscillators, revealing nonchaotic dynamics in forced quantum systems.
Area of Science:
- Quantum dynamics
- Nonlinear dynamics
- Chaos theory
Background:
- Classical impact oscillators exhibit a transition to chaos when a mass grazes a wall.
- Quantum systems with unitary evolution cannot display chaotic behavior.
- Investigating quantum analogs of classical chaotic systems is crucial for understanding fundamental physics.
Purpose of the Study:
- To explore whether strange sets can emerge from quantum dynamics.
- To investigate the dynamical signatures of a quantum analog of a classical impact oscillator.
- To determine if nonchaotic dynamics can be observed in forced quantum systems.
Main Methods:
- Numerical computation of the wave function evolution in a quantum impact oscillator analog.
- Analysis of dynamical signatures using entropy of probability density and L1 norm.
- Generation of real-valued time series for diagnostic testing.
Main Results:
- The quantum analog of the forced impact oscillator was numerically simulated.
- Dynamical signatures were investigated using entropy and L1 norm time series.
- Characteristic features of strange nonchaotic dynamics were observed in the forced quantum system.
Conclusions:
- Closed quantum systems with unitary evolution do not exhibit chaos.
- Forced quantum systems can display strange nonchaotic dynamics.
- The study provides evidence for nonchaotic behavior in quantum analogs of classical chaotic systems.
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