Related Experiment Video
Updated: Apr 19, 2026
09:19
Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
Published on: July 29, 2013
12.0K
Does chaos assist localization or delocalization?
Jintao Tan1, Gengbiao Lu2, Yunrong Luo1
1Department of Physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081, China.
Chaos (Woodbury, N.Y.)
|January 3, 2015
Summary
Chaos can either speed up or hinder particle delocalization in optical lattices, depending on its interaction with resonance. This finding aids in controlling quantum transport in optical and solid-state systems.
Area of Science:
- Quantum physics
- Condensed matter physics
- Nonlinear dynamics
Background:
- Quantum transport in optical lattices is crucial for quantum computing and simulation.
- Understanding the interplay between chaos and quantum phenomena is a long-standing challenge.
- Chaos-assisted tunneling and chaos-related localization present contradictory behaviors.
Purpose of the Study:
- To investigate quantum transport of a single particle in an optical lattice under amplitude modulation and tilting.
- To resolve the contradiction between chaos-assisted tunneling and chaos-related localization.
- To explore the influence of chaotic dynamics on particle delocalization and localization.
Main Methods:
- Numerical simulation of a single particle in a modulated and tilted optical lattice.
- Analysis of quantum transport properties across different parameter regimes.
- Identification of near-resonant regions and their overlap with chaotic and regular regions.
Main Results:
- Identified parameter regions where chaotic and regular dynamics coexist.
- Demonstrated that chaos can accelerate delocalization in chaos-resonance overlapping regions.
- Showed that chaos can promote localization in other chaotic regions.
- Quantified the enhancement of localization with increasing distance from near-resonant regions.
Conclusions:
- Chaos exhibits dual behavior in quantum transport, promoting delocalization or localization depending on parameter space.
- The degree of localization is sensitive to the proximity of parameter points to near-resonant regions.
- Findings offer insights for experimental control of chaos-assisted transport in various lattice systems.
Related Concept Videos
01:21Entropy Changes Accompanying Specific Processes
134
Entropy, a measure of disorder in a system, changes during phase transitions like freezing or boiling. At the transition temperature Ttrs, where two phases are in equilibrium, the phase transition is a reversible process. The entropy change can be calculated from a substance's enthalpy of transition using the equation ΔStrs = ΔtrsH /Ttrs.When a perfect gas expands isothermally from one volume to another, entropy increases logarithmically with volume. Conversely, isothermal compression...
134
01:10Entropy Change in Reversible Processes
3.4K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
3.4K
01:14The Entropy as a State Function
124
Consider an arbitrary process that moves between two specific states (A and B) in a cyclic manner. This process is reversible and broken down into smaller parts that each follow a Carnot cycle. A Carnot cycle has two isothermal (constant temperature) processes. During these processes, the ratio of the amount of heat transferred to their respective temperature remains constant. The other two processes in the Carnot cycle are also reversible but adiabatic, which means they occur without any heat...
124
02:05Entropy and Solvation
8.9K
The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ...
8.9K
01:04IR Absorption Frequency: Delocalization
1.9K
Electron delocalization refers to the distribution of electrons across multiple atoms within a molecule rather than being confined to a single atom or bond. This phenomenon is common in systems with conjugated bonds—structures where alternating single and double bonds allow π-electrons to move freely across the network. The movement of electrons stabilizes the molecule and can affect various chemical properties, including vibrational frequencies observed in IR spectroscopy.
In IR...
In IR...
1.9K
02:17Microtubule Instability
6.5K
Microtubules are hollow cylindrical filaments having a diameter of approximately 25 nm and a length that varies from 200 nm to 25 μm. GTP-bound tubulin subunits form αβ-heterodimers for microtubule assembly. These core building blocks interact longitudinally, polymerizing into protofilaments. The protofilaments then interact with one another through lateral bonding forces to form stable cylindrical microtubules. These cylindrical filaments are dynamic as they undergo repeated...
6.5K