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

@article{Lin2011SharpPT, 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}, year={2011}, volume={106 23}, pages={ 230402 } }

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.

## 33 Citations

Onset of a quantum phase transition with a trapped ion quantum simulator.

- PhysicsNature communications
- 2011

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

- PhysicsAnnalen der Physik
- 2018

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

- Physics
- 2011

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

- Physics, Materials Science
- 2011

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

- Physics
- 2011

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

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2019

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

- Physics
- 2012

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

- PhysicsPhysical Review E
- 2018

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

- Physics
- 2018

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…

QUANTUM SIMULATIONS OF THE ISING MODEL WITH TRAPPED IONS: DEVIL'S STAIRCASE AND ARBITRARY LATTICE PROPOSAL

- Physics
- 2013

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:…

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