Quantum Simulation and Phase Diagram of the Transverse Field Ising Model with Three Atomic Spins

Abstract

We perform a quantum simulation of the Ising model with a transverse field using a collection of three trapped atomic ion spins. By adiabatically manipulating the Hamiltonian, we directly probe the ground state for a wide range of fields and form of the Ising couplings, leading to a phase diagram of magnetic order in this microscopic system. The technique is scalable to much larger numbers of trapped ion spins, where phase transitions approaching the thermodynamic limit can be studied in cases where theory becomes intractable.

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Document Details

Document Type
Technical Report
Publication Date
May 25, 2010
Accession Number
ADA526074

Entities

People

  • Christopher Monroe
  • E. E. Edwards
  • G. D. Lin
  • J. K. Freericks
  • Keehoon Kim
  • Luming Duan
  • M. S. Chang
  • Rajibul Islam
  • S. Korenblit

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Diagrams
  • Energy Levels
  • Frequency
  • Ground State
  • Information Science
  • Ion Traps
  • Optical Lattices
  • Phase
  • Phase Diagrams
  • Phase Transformations
  • Physics
  • Quantum Bits
  • Quantum Computing
  • Quantum Information
  • Quantum Information Science
  • Simulations
  • Transverse

Fields of Study

  • Physics

Readers

  • Computer Engineering
  • Plasma Physics / Magnetohydrodynamics
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Quantum Computing