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Updated: Jun 7, 2025
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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
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Confinement in the Transverse Field Ising Model on the Heavy Hex Lattice
Joseph Tindall1, Dries Sels1,2
1Center for Computational Quantum Physics, <a href="https://ror.org/00sekdz59">Flatiron Institute</a>, New York, New York 10010, USA.
Physical Review Letters
|November 15, 2024
Summary
Quantum confinement in the transverse field Ising model shows nonthermal behavior with persistent entanglement oscillations. This explains the classical simulability of quantum dynamics under specific conditions.
Area of Science:
- Condensed Matter Physics
- Quantum Information Science
Background:
- The transverse field Ising model is a fundamental model in condensed matter physics.
- Quantum computing experiments have revealed complex behaviors in such systems.
Purpose of the Study:
- Investigate the emergence of confinement in the transverse field Ising model on a decorated hexagonal lattice.
- Explain the observed nonthermal behavior and its connection to entanglement entropy.
Main Methods:
- Utilized an infinite tensor network state optimized with belief propagation.
- Performed quenches from broken symmetry states to study system dynamics.
- Constructed a minimal model based on elementary excitation confinement.
Main Results:
- Observed striking nonthermal behavior characterized by persistent oscillations and saturation of entanglement entropy.
- The minimal confinement model accurately reproduced numerical results.
- Identified signatures of thermalization (linear entanglement growth, correlation propagation) for different quench parameters.
Conclusions:
- Confinement of elementary excitations provides a physical explanation for nonthermal dynamics.
- The study clarifies the conditions under which quantum dynamics remain classically simulable.
- Results offer insights into quantum phase transitions and entanglement dynamics.
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