Trapped-Ion Quantum Simulation of an Ising Model with Transverse and Longitudinal Fields

Abstract

We perform a quantum simulation of an Ising model with long-range interactions and both transverse and longitudinal fields - the most general external field configuration - in a system of 6 to 10 trapped atomic ions. Quantum fluctuations at zero temperature drive the ground state spin ordering through several classical first-order phase transitions as the strength of the longitudinal field is increased. The Hamiltonian under study generates a fractal Devil's staircase structure and maps onto a large number of many-body and energy-optimization problems, showing how quantum simulation can potentially find solutions that are classically intractable.

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Document Details

Document Type
Technical Report
Publication Date
Mar 29, 2013
Accession Number
ADA582855

Entities

People

  • Albert Lee
  • C. Senko
  • Christopher Monroe
  • J. Cole Smith
  • Philip Richerme
  • S. Korenblit
  • W. C. Campbell

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Charged Particles
  • Electron Gas
  • Energy Levels
  • Frequency
  • Ground State
  • Ion Traps
  • Laser Beams
  • Magnetic Fields
  • Magnetic Resonance
  • Nuclear Magnetic Resonance
  • Phase Transformations
  • Probability
  • Quantum Properties
  • Simulations
  • Spin States
  • Transitions
  • Transverse

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing