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Inverse-engineering methodology for piston operations in trapped-ion quantum devices. One ion serves as classical piston driven by Coulomb interaction with quantum-controlled ion. Stationary state determined self-consistently. Inverse-engineering protocols enable precise control of classical ion motion. Provides route toward controlled piston dynamics in microscopic quantum devices.

hiyenwong By hiyenwong schedule Updated 6/4/2026

name: piston-control-two-ion-quantum description: "Inverse-engineering methodology for piston operations in trapped-ion quantum devices. One ion serves as classical piston driven by Coulomb interaction with quantum-controlled ion. Stationary state determined self-consistently. Inverse-engineering protocols enable precise control of classical ion motion. Provides route toward controlled piston dynamics in microscopic quantum devices." license: Complete terms in LICENSE.txt metadata: arxiv_id: "2606.03488" published: "2026-06-02" authors: "Jing Li, E. Ya. Sherman, Andreas Ruschhaupt" tags: [quantum-control, ion-traps, piston-dynamics, inverse-engineering, trapped-ion, two-ion-system, coulomb-coupling]

Piston Control in Two-Ion Quantum Devices

Core Problem

Controlling microscopic piston dynamics in quantum devices is essential for quantum thermodynamics, heat engines, and quantum information processing. Two-ion systems with motion confined to orthogonal axes offer a natural platform where one ion acts as a "classical" piston driven by Coulomb interaction with a quantum-controlled ion.

System Architecture

  1. Two-Ion Configuration: Two ions confined to orthogonal axes
  2. Coulomb Coupling: One ion (quantum) controlled via trapping potential modulation; the other (classical piston) responds via Coulomb interaction
  3. Self-Consistent Stationary State: Determined by quantum effects connecting broad classical regimes

Inverse-Engineering Protocol

  1. Quantum Regime Identification: Identify narrow quantum regime of ground state between classical regimes
  2. Trapping Potential Modulation: Control quantum ion motion through time-dependent trapping potential
  3. Coulomb-Mediated Transfer: Classical piston motion emerges from Coulomb coupling
  4. Protocol Design: Inverse-engineering approach to determine required control parameters for desired piston trajectory

Reusable Patterns

  1. Coulomb-mediated control transfer: Use Coulomb interaction as a transducer between quantum control and classical actuation
  2. Self-consistent quantum-classical coupling: Stationary states emerge from mutual influence, not one-way driving
  3. Inverse-engineering for microscopic devices: Work backwards from desired outcome to required control parameters
  4. Orthogonal-axis decoupling: Motion confinement to orthogonal axes simplifies control design

When to Use

  • Trapped-ion quantum thermodynamics experiments
  • Quantum heat engine design
  • Microscopic piston dynamics in quantum devices
  • Two-ion quantum systems with classical-quantum coupling
  • Inverse-engineering protocols for quantum control

Key Results from Paper

  • Identified narrow quantum regime connecting classical regimes
  • Designed inverse-engineering protocols for controlled piston motion
  • Provides useful route toward controlled piston dynamics in microscopic quantum devices
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