Navigating entanglement via Ruderman-Kittel-Kasuya-Yosida exchange: Snake, bouncing, boundary-residing, pulse, and damping-stabilized time-frozen trajectories

• URL: http://arxiv.org/abs/2509.16751v1
• Date: Sat, 20 Sep 2025 17:23:37 GMT
• Title: Navigating entanglement via Ruderman-Kittel-Kasuya-Yosida exchange: Snake, bouncing, boundary-residing, pulse, and damping-stabilized time-frozen trajectories
• Authors: Son-Hsien Chen, Seng Ghee Tan, Ching-Ray Chang,
• Abstract summary: Entanglement dynamics are fundamental to quantum technologies, yet navigating their temporal profiles (trajectories) remains challenging.<n>We propose a scalable solid-state platform based on RKKY exchange, where two spin qubits couple to a central spin qudit.<n>We focus specifically on entanglement trajectories initially near the entanglement-unentanglement boundary, with the distance to this boundary quantified by concurrence.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Entanglement dynamics are fundamental to quantum technologies, yet navigating their temporal profiles (trajectories) remains challenging. Here, we propose a scalable solid-state platform based on RKKY exchange, where two spin qubits couple to a central spin qudit that oscillatorily spin-polarizes the surrounding conduction electrons. We introduce the exchange-time integral (ETI), which maps the spatial motion of the qubits to a time-dependent exchange interaction and serves as an effective "trajectory clock" governing the system evolution. We focus specifically on entanglement trajectories initially near the entanglement-unentanglement boundary, with the distance to this boundary quantified by concurrence extended to include negative values. By alternating the sign changes of the exchange, implemented through vibrational motion of qubits, the ETI enables programmable entanglement trajectories. For in-phase and antiphase vibrations, including scenarios with controlled stopping at the RKKY exchange-free nodes, we identify distinctive trajectories: snake (repeatedly crossing the boundary), bouncing (immediately reversing upon reaching the boundary), boundary-residing (remaining at the transition point), and pulse (controllable entanglement intervals). The vibration phase creates asymmetric shifts to the trajectories. The proposed device offers built-in error correction against dephasing by utilizing both ferromagnetic and antiferromagnetic regimes. Out-of-phase vibrations drive trajectories away from the boundary, accessing larger entanglement values but with irregular/unsteady final states. To stabilize these trajectories, we introduce a damping mechanism. Our framework offers a systematic method for navigating and engineering entanglement dynamics in quantum systems, with potential applications in quantum computation, cryptography, and metrology.

Related papers

• Adiabatically driven dissipative many-body quantum spin systems [0.0]
  We explore the evolution of a strongly interacting dissipative quantum Ising spin chain driven by a slowly varying transverse field.<n>This system possesses an extensive number of instantaneous (adiabatic) stationary states which are coupled through non-adiabatic transitions.<n>We analytically calculate the generator of the ensuing slow dynamics and analyze the creation of coherences through non-adiabatic processes.
  arXiv  Detail & Related papers  (2025-09-15T16:03:04Z)
• Directional Motional Control via Engineered Conical Intersections in Trapped Rydberg Ions [0.0]
  We demonstrate coherent control of motional dynamics in trapped Rydberg ions engineered to exhibit a conical intersection between adiabatic potential-energy surfaces.<n>This work demonstrates that engineered conical intersections can serve as a new control resource for directional motional dynamics.
  arXiv  Detail & Related papers  (2025-09-14T16:53:25Z)
• Quantum channel for modeling spin-motion dephasing in Rydberg chains [44.99833362998488]
  We introduce a quantum channel to model the dissipative dynamics resulting from the coupling between spin and motional degrees of freedom in chains of neutral atoms with Rydberg interactions.<n>We benchmark the accuracy of our approach against exact diagonalization for small systems, identifying its regime of validity and the onset of perturbative breakdown.<n>We then apply the quantum channel to compute fidelity loss during transport of single-spin excitations across extended Rydberg chains in intractable regimes via exact diagonalization.
  arXiv  Detail & Related papers  (2025-06-30T17:37:38Z)
• Entanglement transitions in a boundary-driven open quantum many-body system [0.0]
  We present a numerical framework that enables large-scale simulation of out-of-equilibrium open quantum many-body systems.<n>By design, it protects density operator positivity and provides direct access to entanglement monotones.<n>We study a paradigmatic open system problem: the boundary-driven XXZ spin-chain.
  arXiv  Detail & Related papers  (2025-02-25T17:09:13Z)
• Tailoring transport in quantum spin chains via disorder and collisions [41.94295877935867]
  We investigate the interplay of disorder and time-homogeneous collisional noise in shaping the transport dynamics of anisotropic XXZZ spin chain.<n>We find that space-homogeneous and low-rate collisions can shape regions where localization sets in the form of subsequent plateaus.<n>Our findings can be applied to design stroboscopic protocols where sequences of transport and localization can be tailored.
  arXiv  Detail & Related papers  (2025-02-21T15:11:58Z)
• Coherent excitation transport through ring-shaped networks [0.0]
  coherent quantum transport of matter wave through a ring-shaped circuit attached to leads defines an iconic system in mesoscopic physics. We study the source-to-drain transport of excitations going through a ring-network, without propagation of matter waves.
  arXiv  Detail & Related papers  (2023-10-27T08:31:20Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Probing the coherence of solid-state qubits at avoided crossings [51.805457601192614]
  We study the quantum dynamics of paramagnetic defects interacting with a nuclear spin bath at avoided crossings. The proposed theoretical approach paves the way to designing the coherence properties of spin qubits from first principles.
  arXiv  Detail & Related papers  (2020-10-21T15:37:59Z)
• Non-equilibrium non-Markovian steady-states in open quantum many-body systems: Persistent oscillations in Heisenberg quantum spin chains [68.8204255655161]
  We investigate the effect of a non-Markovian, structured reservoir on an open Heisenberg spin chain. We establish a coherent self-feedback mechanism as the reservoir couples frequency-dependent to the spin chain.
  arXiv  Detail & Related papers  (2020-06-05T09:16:28Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.