Related Experiment Video
Updated: Jan 21, 2026
07:14
Optogenetic Phase Transition of TDP-43 in Spinal Motor Neurons of Zebrafish Larvae
Published on: February 25, 2022
6.5K
Dynamical Topological Quantum Phase Transitions in Nonintegrable Models
I Hagymási1,2,3, C Hubig4, Ö Legeza3
1Department of Physics, Arnold Sommerfeld Center for Theoretical Physics (ASC), Fakultät für Physik, Ludwig-Maximilians-Universität München, D-80333 München, Germany.
Physical Review Letters
|July 27, 2019
Summary
Sudden quantum quenches can trigger dynamical phase transitions in the S=1 XXZ model. These transitions, marked by nonanalyticities in return probability, correlate with string order parameter behavior and enhanced entanglement.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Systems
- Quantum Phase Transitions
Background:
- The S=1 XXZ model exhibits a Haldane phase, a unique quantum disordered state.
- Quantum phase transitions (QPTs) are fundamental to understanding many-body systems.
- Sudden quenches perturb systems, driving them out of equilibrium.
Purpose of the Study:
- Investigate dynamical phase transitions (DPTs) in the S=1 XXZ model after quantum quenches.
- Analyze the relationship between quench dynamics and the emergence of DPTs.
- Explore the role of order parameters and entanglement in these non-equilibrium phenomena.
Main Methods:
- Simulating the S=1 XXZ model under sudden quenches from the Haldane phase.
- Analyzing nonanalyticities in the return probability's rate function to identify DPTs.
- Calculating the temporal evolution of the string order parameter.
- Quantifying two-site entanglement during the quench dynamics.
Main Results:
- Dynamical phase transitions were observed during quenches across QPTs.
- Nonanalyticities in the return probability's rate function signal these DPTs.
- The string order parameter's temporal behavior is closely linked to the occurrence of DPTs.
- Enhanced two-site entanglement was found to accompany the DPTs.
Conclusions:
- Sudden quenches can induce DPTs in the S=1 XXZ model, distinct from equilibrium QPTs.
- The string order parameter serves as a crucial indicator for these non-equilibrium transitions.
- Entanglement dynamics provide further insight into the nature and detection of DPTs.
Related Concept Videos
02:31Phase Transitions
22.7K
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...
22.7K
02:33Phase Transitions: Sublimation and Deposition
19.8K
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...
19.8K
02:39Phase Transitions: Vaporization and Condensation
20.7K
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 molecules...
20.7K
02:39Phase Transitions: Melting and Freezing
14.7K
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...
14.7K
02:45The Quantum-Mechanical Model of an Atom
56.7K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
56.7K
02:43Quantum Numbers
49.4K
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
49.4K