We develop a theoretical and simulation-based framework to explore how entangled quantum states behave in photonic crystals whose refractive indices vary over both time and space. This work investigates light bending in a spatiotemporal domain and how such conditions influence the coherence of entangled anti-nodal structures. The study shows that despite temporal modulation, translational symmetry of anti-nodal peaks remains preserved. Through fidelity tracking and dynamic node mapping, we identify conditions under which entanglement remains robust. Our findings contribute to the broader understanding of symmetry protection in time-evolving quantum systems and propose new avenues for quantum photonic resilience.

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Bending Light Through Time and Space: A Translational Symmetry Perspective on Entangled Anti-nodal Dynamics

  • Kisalaya Chakrabarti,
  • Ankita Jaiswal,
  • Angsuman Sarkar

摘要

We develop a theoretical and simulation-based framework to explore how entangled quantum states behave in photonic crystals whose refractive indices vary over both time and space. This work investigates light bending in a spatiotemporal domain and how such conditions influence the coherence of entangled anti-nodal structures. The study shows that despite temporal modulation, translational symmetry of anti-nodal peaks remains preserved. Through fidelity tracking and dynamic node mapping, we identify conditions under which entanglement remains robust. Our findings contribute to the broader understanding of symmetry protection in time-evolving quantum systems and propose new avenues for quantum photonic resilience.