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arXiv:2109.12315

Entanglement Emerges from Dissipation-Structured Quantum Self-Organization

Zhibo Yang, Yi‐Pu Wang, Jie Li, Chang‐Sheng Hu, You, J. Q.

Published Sep 25, 2021• 2 citations
arXivHTMLPDF

Abstract

Entanglement is a holistic property of multipartite quantum systems, which is accompanied by the establishment of nonclassical correlations between subsystems. Most entanglement mechanisms can be described by a coherent interaction Hamiltonian, and entanglement develops over time. In other words, the generation of entanglement has a time arrow. Dissipative structure theory directs the evolving time arrow of a non-equilibrium system. By dissipating energy to the environment, the system establishes order out of randomness. This is also referred to as self-organization. Here, we explore a new mechanism to create entanglement, utilizing the wisdom of dissipative structure theory in quantum systems. The entanglement between subsystems can emerge via the dissipation-structured correlation. This method requires a non-equilibrium initial state and cooperative dissipation, which can be implemented in a variety of waveguide-coupled quantum systems.

DOI
10.48550/arxiv.2109.12315

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Entanglement is a holistic property of multipartite quantum systems, which is accompanied by the establishment of nonclassical correlations between subsystems. Most entanglement mechanisms can be described by a coherent interaction Hamiltonian, and entanglement develops over time. In other words, the generation of entanglement has a time arrow. Dissipative structure theory directs the evolving time arrow of a non-equilibrium system. By dissipating energy to the environment, the system establishes order out of randomness. This is also referred to as self-organization. Here, we explore a new mechanism to create entanglement, utilizing the wisdom of dissipative structure theory in quantum systems. The entanglement between subsystems can emerge via the dissipation-structured correlation. This method requires a non-equilibrium initial state and cooperative dissipation, which can be implemented in a variety of waveguide-coupled quantum systems.
Quantum entanglement, a fundamental phenomenon in quantum mechanics, presents a unique opportunity for transformative technologies. This paper explores the potential of leveraging entanglement to model and control quantum systems, specifically focusing on the development of a novel self-organizing structure model. We propose a method that utilizes the inherent properties of entanglement to guide the formation and manipulation of quantum states, leading to enhanced control and precision. The core mechanism involves constructing a quantum system exhibiting self-organization through carefully orchestrated entanglement adjustments. This research introduces a new quantum control algorithm predicated on this self-organization principle. The primary motivation is to address the current limitations in harnessing entanglement for practical applications, particularly concerning the development of robust and controllable quantum systems.
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Can a closed quantum system generate persistent time-crystal-like dynamics without external driving? Within the Bateman dual oscillator framework, we show that the answer is affirmative. We consider a nonrelativistic (2+1)-dimensional system in which spin-induced spatial deformation generates an effective Bateman oscillator structure. After quantization, the system is governed by a time-independent Hermitian Hamiltonian describing coherent coupling between damped and amplified oscillator sectors while preserving the total energy of the global doubled system. Tracing over the amplified sector, we derive an effective non-Markovian reduced dynamics for the observable subsystem. The resulting memory effects sustain persistent oscillations of subsystem observables and generate emergent time-crystal-like temporal ordering without external periodic driving or equilibrium spontaneous symmetry breaking. Since the oscillatory behavior originates from nonequilibrium reduced subsystem dynamics rather than equilibrium expectation values of the full Hamiltonian, the mechanism lies outside the assumptions of conventional no-go theorems for equilibrium time crystals. The same dynamics further exhibits logarithmic-spiral trajectories and self-similar fractal scaling, revealing a direct connection between coherent dissipative dynamics, non-Markovian memory effects, and emergent temporal ordering in a globally unitary quantum system. In this specific sense, "watching the growth" of these self-similar structures corresponds to observing the gradual formation of time-crystal-like ordering.
Quantum entanglement is a fundamental resource for quantum information processing, and harnessing its properties requires sophisticated techniques for manipulation and processing. This paper investigates the potential of self-organizing topological structures to facilitate efficient and stable quantum entanglement aggregation, offering a novel approach to quantum information handling. We explore the design and implementation of a quantum entanglement network based on these structures, focusing on the mechanisms that enable aggregation, splitting, and manipulation of entangled states. The core of our research lies in leveraging the inherent topological properties of these structures to create robust and controllable quantum systems. This work presents a framework for building scalable quantum entanglement networks and highlights the advantages of utilizing self-organization in achieving enhanced performance and resilience. The investigation also addresses challenges related to maintaining entanglement coherence and exploring potential applications in quantum cryptography and quantum computing.
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