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Embedding Semiclassical Periodic Orbits into Chaotic Many-Body Hamiltonians
Andrew Hallam1, Jean-Yves Desaules1, Zlatko Papić1
1School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom.
Physical Review Letters
|September 29, 2023
Summary
We developed a method to embed desired periodic orbits into chaotic quantum systems, protecting quantum dynamics. This approach engineers exact quantum many-body scars in Floquet models, crucial for quantum technology.
Area of Science:
- Quantum physics
- Many-body systems
- Quantum information science
Background:
- Protecting quantum dynamics from environmental chaos is vital for quantum technology.
- Many-body phenomena are often fragile and susceptible to decoherence.
- Quantum many-body scars are nonthermal eigenstates that resist thermalization.
Purpose of the Study:
- To present a general construction for embedding periodic orbits into nonintegrable many-body Hamiltonians.
- To engineer quantum systems that exhibit exact scarred dynamics.
- To complement existing methods for embedding nonthermal eigenstates into thermalizing spectra.
Main Methods:
- Utilizing a time-dependent variational principle to project quantum dynamics onto low-entangled states.
- Designing specific terms to suppress dynamics leakage outside the variational manifold.
- Applying the construction to driven Affleck-Kennedy-Lieb-Tasaki models and superconducting qubit chains.
Main Results:
- A general method to embed desired periodic orbits into chaotic many-body systems.
- Engineering Floquet models exhibiting exact quantum many-body scarred dynamics.
- Demonstration of the method in both theoretical models and experimental systems.
Conclusions:
- The presented construction effectively protects coherent quantum dynamics in chaotic environments.
- This work provides a pathway to realize and control fragile many-body phenomena.
- The findings have significant implications for advancing quantum technologies.
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