Sharp phase transitions in a small frustrated network of trapped ion spins.

  title={Sharp phase transitions in a small frustrated network of trapped ion spins.},
  author={Guin-Dar Lin and Christopher R. Monroe and Luming Duan},
  journal={Physical review letters},
  volume={106 23},
Sharp quantum phase transitions typically require a large system with many particles. Here we show that, for a frustrated fully connected Ising spin network represented by trapped atomic ions, the competition between different spin orders leads to rich phase transitions whose sharpness scales exponentially with the number of spins. This unusual finite-size scaling behavior opens up the possibility of observing sharp quantum phase transitions in a system of just a few trapped ion spins. 

Figures from this paper

Onset of a quantum phase transition with a trapped ion quantum simulator.
This work simulates the emergence of magnetism by implementing a fully connected non-uniform ferromagnetic quantum Ising model using up to 9 trapped (171)Yb(+) ions, providing a critical benchmark for the simulation of intractable arbitrary fully connected Ising models in larger systems.
Magnetic Phase Transition Driven by Frustrated Interactions in a Longitudinal‐Field Ising Chain
The ground‐state magnetic phase transitions in a classical spin chain with long‐range interactions in a system of trapped ions are investigated. The tunable competing interactions, mediated by both
Quantum simulation of the transverse Ising model with trapped ions
Crystals of trapped atomic ions are among the most promising platforms for the quantum simulation of many-body quantum physics. Here, we describe recent developments in the simulation of quantum
Simulation of quantum magnetism in mixed-spin systems with impurity-doped ion crystals
We propose the realization of linear crystals of cold ions that contain different atomic species for investigating quantum phase transitions and frustration effects in spin systems beyond the
Long-range and frustrated spin-spin interactions in crystals of cold polar molecules
We describe a simple scheme for the implementation and control of effective spin-spin interactions in self-assembled crystals of cold polar molecules. In our scheme, spin states are encoded in two
Scaling properties of work fluctuations after quenches near quantum transitions
We study the scaling properties of the statistics of the work done on a generic many-body system at a quantum phase transition of any order and type, arising from quenches of a driving control
Quantum magnetism of spin-ladder compounds with trapped-ion crystals
The quest for experimental platforms that allow for the exploration, and even control, of the interplay of low dimensionality and frustration is a fundamental challenge in several fields of quantum
Finite-size scaling at first-order quantum transitions when boundary conditions favor one of the two phases
We investigate scaling phenomena at first-order quantum transitions, when the boundary conditions favor one of the two phases. We show that the corresponding finite-size scaling behavior, arising
Out-of-equilibrium dynamics driven by localized time-dependent perturbations at quantum phase transitions
We investigate the quantum dynamics of many-body systems subject to local, i.e. restricted to a limited space region, time-dependent perturbations. If the perturbation drives the system across a
Title of dissertation: QUANTUM SIMULATIONS OF THE ISING MODEL WITH TRAPPED IONS: DEVIL’S STAIRCASE AND ARBITRARY LATTICE PROPOSAL Simcha Korenblit, Doctor of Philosophy 2013 Dissertation directed by:


Quantum phase transitions
Abstract We give a general introduction to quantum phase transitions in strongly correlated electron systems. These transitions, which occur at zero temperature when a non-thermal parameter g such as
  • R. Rosenfeld
  • Medicine
    Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery
  • 2009
A 15
  • 1982
  • Rev. Lett. 92, 207901
  • 2004
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 2004
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 2009
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 2006
Phys. Rev. B
  • Phys. Rev. B
  • 2010
Europhys. Lett
  • Europhys. Lett
  • 2009
Frustrated Spin System
  • World Scientific Publishing Company
  • 2005