Related Experiment Video
Updated: Oct 12, 2025
09:19
Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
Published on: July 29, 2013
11.6K
Observing two-particle Anderson localization in linear disordered photonic lattices
Optics Express
|November 23, 2021
Summary
We studied Anderson localization for two interacting bosons in one dimension. The study reveals how interaction strength, disorder, and initial states influence localization, with spatial correlation showing unique two-boson behaviors like binding and fermionic behavior.
Area of Science:
- Quantum physics
- Condensed matter physics
- Quantum optics
Background:
- Anderson localization describes the suppression of wave function propagation in disordered systems.
- Two-particle interactions significantly alter single-particle localization phenomena.
- Photonic lattices offer a controllable platform for simulating quantum phenomena.
Purpose of the Study:
- To theoretically investigate Anderson localization of two interacting bosons in one dimension.
- To explore the influence of interaction strength, disorder types, and initial states on localization dynamics.
- To analyze two-boson spatial correlation for novel quantum behaviors.
Main Methods:
- Theoretical and systematic investigation of a one-dimensional system with nearest-neighbor interaction.
- Analysis under short- and long-time scales, considering two types of disorder and three initial states.
- Utilizing participation ratio and spatial correlation as experimentally measurable quantities.
Main Results:
- Localization behavior depends on interaction strength, disorder type, and initial conditions.
- Two-boson spatial correlation exhibits unique features, including binding and bosonic 'fermionization' in ordered systems.
- The interplay between disorder and interaction on Anderson localization was examined, with symmetry-breaking initial states affecting results.
Conclusions:
- The study provides a comprehensive understanding of two-boson Anderson localization in disordered systems.
- Experimental implementation in two-dimensional linear photonic lattices is feasible and detailed.
- Findings offer insights into quantum many-body localization and control in interacting systems.
Related Concept Videos
01:18First Law: Particles in Two-dimensional Equilibrium
6.7K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
Newton's first law tells us about...
6.7K
02:32The de Broglie Wavelength
30.2K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
30.2K
01:10First Law: Particles in One-dimensional Equilibrium
7.2K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
7.2K
03:06The Pauli Exclusion Principle
54.8K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
54.8K
02:54Trends in Lattice Energy: Ion Size and Charge
25.0K
An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
25.0K