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Entanglement Oscillations near a Quantum Critical Point
Olalla A Castro-Alvaredo1, Máté Lencsés2,3, István M Szécsényi4
1Department of Mathematics, City, University of London, 10 Northampton Square, EC1V 0HB London, United Kingdom.
Physical Review Letters
|July 1, 2020
Summary
We investigated entanglement dynamics in the Ising spin chain. Bound states cause oscillations and suppress linear growth, while linear growth is confirmed for transverse field quenches.
Area of Science:
- Quantum physics
- Condensed matter theory
- Statistical mechanics
Background:
- The Ising spin chain is a fundamental model in condensed matter physics.
- Understanding entanglement dynamics is crucial for quantum information science.
Purpose of the Study:
- To analyze entanglement dynamics in the Ising spin chain under longitudinal and transverse fields.
- To extend analytical techniques beyond standard lattice integrability.
Main Methods:
- Analytical calculations for field quenches in the scaling limit.
- Numerical simulations of the lattice model for validation.
- Investigation of bound states' impact on entanglement entropy.
Main Results:
- Analytical results for longitudinal field quenches agree with numerical simulations.
- Bound states induce oscillations and suppress linear entanglement growth.
- Linear entanglement growth is proven for transverse field quenches at zero longitudinal field.
Conclusions:
- Oscillations and linear growth in entanglement entropy are not solely due to integrability or its breaking.
- The study provides new insights into quantum entanglement in critical systems.
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