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Embedding Semiclassical Periodic Orbits into Chaotic Many-Body Hamiltonians.

Andrew Hallam1, Jean-Yves Desaules1, Zlatko Papić1

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This summary is machine-generated.

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.

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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.