Quantum spin models with electrons in Penning traps

Abstract

We propose a scheme to engineer an effective spin Hamiltonian starting from a system of electrons confined in micro-Penning traps. By means of appropriate sequences of electromagnetic pulses, alternated to periods of free evolution, we control the shape and strength of the spin-spin interaction. Moreover, we can modify the effective magnetic field experienced by the particle spin. This procedure enables us to reproduce notable quantum spin systems, such as Ising and XY models. Thanks to its scalability, our scheme can be applied to a fairly large number of trapped particles within the reach of near future technology.

22 pages, 1 figure, added minor changes and typos, accepted for publication in PRA

References in corpus (7)

• NMR Techniques for Quantum Control and Computation
• Effective quantum spin systems with ion traps
• Ion-trap quantum logic using long-wavelength radiation
• Effective Spin Quantum Phases in Systems of Trapped Ions
• Higher Order Methods for Simulations on Quantum Computers
• Array of planar Penning traps as a nuclear magnetic resonance molecule for quantum computation
• Three-dimensional micro-electromagnet traps for neutral and charged particles

Cited by in corpus (8)

• Quantum Simulations with Cold Trapped Ions
• Experimental and theoretical challenges for the trapped electron quantum computer
• Towards electron-electron entanglement in Penning traps
• Entanglement generation and perfect state transfer in ferromagnetic qubit chains
• Creation and manipulation of entanglement in spin chains far from equilibrium
• Ion-trap simulation of the quantum phase transition in an exactly solvable model of spins coupled to bosons
• Entanglement and its evolution after a quench in the presence of an energy current
• From a single- to a double-well Penning trap