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In this paper, we explore the effects of noise on the behaviour of Discrete Time Crystals (DTCs) with translational symmetry breaking, incorporating concepts from the research on translational symmetry of intermediate nodes and antinodes of entangled particles by Chakrabarti (Translational symmetry of intermediate nodes and antinodes of entangled particles. Quantum entanglement in high energy physics. IntechOpen, 2023 [1]). We simulate a three-qubit spin system subjected to periodically driven Hamiltonians, with both interaction and drive terms breaking translational symmetry. The system evolves under Floquet dynamics, with periodic driving inducing time-translation symmetry breaking. By toggling noise on and off, we analyze its impact on the stability of time crystal oscillations and examine how translational symmetry breaking influences the robustness of these phenomena. Additionally, we incorporate the effects of entanglement and quantum correlations in the context of time crystals, demonstrating the role of entangled particles in stabilizing or destabilizing time-crystal states. Building on the theoretical foundations laid by Chakrabarti, we draw parallels between the periodic standing wave structures formed by entangled photons and the temporal periodicity found in time crystals. We introduce stationary phase approximations derived from Chakrabarti's work to describe how distributed locality and spin state localization may underpin time-translation symmetry breaking. This connection allows us to suggest a novel conceptual extension: entangled photon-based time crystals, where time periodicity arises intrinsically from entangled wave function superposition rather than external driving. Our results indicate that while noise significantly affects the long-term stability of time crystals, the quantum entanglement between particles can offer resistance to de-coherence and maintain robustness in the presence of perturbations. The paper provides insights into the relationship between symmetry breaking, entanglement, and quantum noise in the context of time-crystalline behaviour.

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Add and Remove Noise in Time Crystals with Translational Symmetry Breaking: Insights from Quantum Entanglement

  • 会议论文

  • 发表日期：

    2026年

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  • Kisalaya Chakrabarti,
  • Rajrupa Metia

摘要

In this paper, we explore the effects of noise on the behaviour of Discrete Time Crystals (DTCs) with translational symmetry breaking, incorporating concepts from the research on translational symmetry of intermediate nodes and antinodes of entangled particles by Chakrabarti (Translational symmetry of intermediate nodes and antinodes of entangled particles. Quantum entanglement in high energy physics. IntechOpen, 2023 [1]). We simulate a three-qubit spin system subjected to periodically driven Hamiltonians, with both interaction and drive terms breaking translational symmetry. The system evolves under Floquet dynamics, with periodic driving inducing time-translation symmetry breaking. By toggling noise on and off, we analyze its impact on the stability of time crystal oscillations and examine how translational symmetry breaking influences the robustness of these phenomena. Additionally, we incorporate the effects of entanglement and quantum correlations in the context of time crystals, demonstrating the role of entangled particles in stabilizing or destabilizing time-crystal states. Building on the theoretical foundations laid by Chakrabarti, we draw parallels between the periodic standing wave structures formed by entangled photons and the temporal periodicity found in time crystals. We introduce stationary phase approximations derived from Chakrabarti's work to describe how distributed locality and spin state localization may underpin time-translation symmetry breaking. This connection allows us to suggest a novel conceptual extension: entangled photon-based time crystals, where time periodicity arises intrinsically from entangled wave function superposition rather than external driving. Our results indicate that while noise significantly affects the long-term stability of time crystals, the quantum entanglement between particles can offer resistance to de-coherence and maintain robustness in the presence of perturbations. The paper provides insights into the relationship between symmetry breaking, entanglement, and quantum noise in the context of time-crystalline behaviour.