Related Experiment Video
Updated: Jun 25, 2025
06:26
Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
Published on: May 15, 2017
7.1K
A nonlinear journey from structural phase transitions to quantum annealing
Mithun Thudiyangal1, Panayotis G Kevrekidis2, Avadh Saxena3
1Department of Atomic and Molecular Physics, Manipal Academy of Higher Education, Manipal 576 104, India.
Chaos (Woodbury, N.Y.)
|May 24, 2024
Summary
Researchers found an analogy between quantum spin chains and classical particle arrays. This connection reveals how topological excitations in classical systems mimic quantum phenomena like memory and decoherence.
Area of Science:
- Physics
- Quantum Mechanics
- Statistical Mechanics
Background:
- An exact mapping exists between the transverse field Ising (TFI) model and the classical ϕ4 model.
- Understanding driven variants of these systems can reveal deeper connections.
Purpose of the Study:
- To explore the relationship between driven quantum TFI models and classical ϕ4 systems.
- To investigate topological excitations in classical systems as analogs for quantum phenomena.
Main Methods:
- Studied the classical ϕ4 model subjected to periodic perturbations.
- Analyzed the coupling between topological solitary waves (kinks) in the classical system.
- Mimicked quantum measurement protocols using classical perturbations.
Main Results:
- Identified regimes of memory/loss of memory and coherence/decoherence in the classical system.
- Demonstrated that topological excitations control thermal equilibration after perturbations.
- Established an analogy between kink coupling in ϕ4 and transverse field effects in TFI.
Conclusions:
- The classical ϕ4 model serves as a valuable analog for studying driven quantum systems.
- Topological excitations play a crucial role in thermalization dynamics.
- This analogy opens new avenues for exploring quantum-classical system relationships.
More Related Videos
Related Concept Videos
02:31Phase Transitions
19.1K
Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
19.1K
02:39Phase Transitions: Melting and Freezing
12.4K
Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
12.4K
02:33Phase Transitions: Sublimation and Deposition
17.1K
Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
17.1K
02:39Phase Transitions: Vaporization and Condensation
17.6K
The physical form of a substance changes on changing its temperature. For example, raising the temperature of a liquid causes the liquid to vaporize (convert into vapor). The process is called vaporization—a surface phenomenon. Vaporization occurs when the thermal motion of the molecules overcome the intermolecular forces, and the molecules (at the surface) escape into the gaseous state. When a liquid vaporizes in a closed container, gas molecules cannot escape. As these gas phase...
17.6K
01:58Cooperative Allosteric Transitions
2.5K
2.5K
01:16UV–Vis Spectroscopy: Molecular Electronic Transitions
1.4K
In Ultraviolet–Visible (UV–Vis) spectroscopy, the absorption of electromagnetic radiation is used to probe the electronic structure of molecules. This technique provides insights into molecular electronic transitions, particularly the movement of electrons between different molecular orbitals. Radiation is absorbed if the energy of the electromagnetic radiation passing through the molecule is precisely equal to the energy difference between the excited and ground states. During this...
1.4K