Related Experiment Video
Updated: Jul 16, 2026
09:19
Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
Published on: July 29, 2013
Dynamical delocalization in one-dimensional disordered systems with oscillatory perturbation.
1Faculty of Engineering, Niigata University, Ikarashi 2-Nocho 8050, Niigata 950-21, Japan.
Summary
Dynamical perturbation disrupts quantum localization in one-dimensional disordered quantum systems. Introducing multiple frequencies leads to diffusive behavior, transitioning from subdiffusion to normal diffusion as perturbation strength increases.
Area of Science:
- Quantum Mechanics
- Condensed Matter Physics
- Statistical Physics
Background:
- Quantum localization is a phenomenon in disordered quantum systems where wave packets remain spatially confined.
- Dynamical perturbations can significantly alter the behavior of quantum systems, potentially overcoming localization effects.
Purpose of the Study:
- To investigate the impact of dynamical perturbation on quantum localization in one-dimensional disordered quantum systems (1DDS).
- To characterize the emergent diffusive behavior and its dependence on perturbation parameters.
Main Methods:
- Numerical investigation of a 1DDS subjected to an oscillatory driving force with M incommensurate frequency components.
- Analysis of wave packet dynamics, including mean square displacement and distribution function evolution.
Main Results:
- For M>=2, dynamical perturbation induces diffusive behavior, suppressing the numerically detectable finite localization length.
- Diffusive motion follows a subdiffusion law (xi(t)^2 proportional to t^alpha), with alpha approaching 1 (normal diffusion) as M and perturbation strength increase.
- The space-time dependence of the distribution function P(x,t) is unified by scaling exponents alpha and beta, encompassing both localization and normal diffusion limits.
Conclusions:
- Dynamical perturbation can effectively overcome quantum localization in 1DDS, leading to diffusive transport.
- The system's behavior transitions from subdiffusion to normal diffusion, controllable by perturbation parameters.
- A unified scaling form describes the distribution function across different dynamical regimes.
More Related Videos
11:03An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
08:04Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Related Concept Videos
01:04Oscillations about an Equilibrium Position
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so because...
01:07Damped Oscillations
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Although friction and other non-conservative...
01:06Forced Oscillations
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
01:24One-Degree-of-Freedom System
In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
01:21Linear Approximation in Time Domain
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...
01:19Limits with Oscillating Discontinuities
An oscillating discontinuity is a type of discontinuity in which a function’s values fluctuate infinitely often as the input approaches a particular point. Unlike jump discontinuities, where the function suddenly shifts between two values, or infinite discontinuities, where the function diverges without bound, an oscillating discontinuity arises from rapid back-and-forth variation. Because the function never stabilizes toward a single value, no finite limit exists at that point.One of the most...