# Non-thermalization in trapped atomic ion spin chains

@article{Hess2017NonthermalizationIT, title={Non-thermalization in trapped atomic ion spin chains}, author={Paul W Hess and Patrick Becker and Harvey B. Kaplan and Antonios Kyprianidis and A. C. Lee and Brian Neyenhuis and Guido Pagano and Philip Richerme and Crystal Senko and J. Smith and Wen Lin Tan and J. Zhang and Christopher R. Monroe}, journal={Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences}, year={2017}, volume={375} }

Linear arrays of trapped and laser-cooled atomic ions are a versatile platform for studying strongly interacting many-body quantum systems. Effective spins are encoded in long-lived electronic levels of each ion and made to interact through laser-mediated optical dipole forces. The advantages of experiments with cold trapped ions, including high spatio-temporal resolution, decoupling from the external environment and control over the system Hamiltonian, are used to measure quantum effects not…

## 32 Citations

Out-of-equilibrium quantum magnetism and thermalization in a spin-3 many-body dipolar lattice system

- PhysicsNature Communications
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The spin dynamics and approach towards local thermal equilibrium of a macroscopic ensemble of S = 3 chromium atoms pinned in a three dimensional optical lattice and prepared in a pure coherent spin state are studied, under the effect of magnetic dipole–dipole interactions.

Cavity-mediated collective spin-exchange interactions in a strontium superradiant laser

- PhysicsScience
- 2018

A flexible alternative to existing atomic simulators in a system consisting of strontium atoms placed in an optical cavity, which leads to one-axis twisting dynamics, the emergence of a many-body energy gap, and gap protection of the optical coherence against certain sources of decoherence.

Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains.

- PhysicsPhysical review letters
- 2019

A two-kink model is introduced to qualitatively explain the phenomenon of long-range-interaction-induced confinement and to quantitatively predict the masses of the bound quasiparticles.

Prethermal strong zero modes and topological qubits

- Physics
- 2017

We prove that quantum information encoded in some topological excitations, including certain Majorana zero modes, is protected in closed systems for a time scale exponentially long in system…

Towards analog quantum simulations of lattice gauge theories with trapped ions

- PhysicsPhysical Review Research
- 2020

Gauge field theories play a central role in modern physics and are at the heart of the Standard Model of elementary particles and interactions. Despite significant progress in applying classical…

Controlling systematic frequency uncertainties at the
10−19
level in linear Coulomb crystals

- PhysicsPhysical Review A
- 2019

Trapped ions are ideally suited for precision spectroscopy, as is evident from the remarkably low systematic uncertainties of single-ion clocks. The major weakness of these clocks is the long…

Breakdown of ergodicity in quantum systems: from solids to synthetic matter

- PhysicsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2017

This work has shown that as a localized environment fails to thermalize, the system can retain some local information about its initial state for indefinite amounts of time, opening up new possibilities for quantum technologies.

Engineering an effective three-spin Hamiltonian in trapped-ion systems for applications in quantum simulation

- Physics
- 2022

Trapped-ion quantum simulators, in analog and digital modes, are considered a primary candidate to achieve quantum advantage in quantum simulation and quantum computation. The underlying controlled…

Many-Particle Dephasing after a Quench.

- PhysicsPhysical review letters
- 2017

This work is able to derive analytical predictions for the temporal fluctuations in a nonintegrable model (the transverse Ising chain with extra terms) based on identifying a dynamical regime of "many-particle dephasing," where quasiparticles do not yet relax but fluctuations are nonetheless suppressed exponentially by weak integrability breaking.

Probing Time Dilation in Coulomb Crystals in a High-Precision Ion Trap

- PhysicsPhysical Review Applied
- 2019

Trapped-ion optical clocks are capable of achieving systematic fractional frequency uncertainties of $10^{-18}$ and possibly below. However, the stability of current ion clocks is fundamentally…

## References

SHOWING 1-10 OF 115 REFERENCES

Two-dimensional ion crystals in radio-frequency traps for quantum simulation

- Physics
- 2016

The computational difficulty of solving fully quantum many-body spin problems is a significant obstacle to understanding the behavior of strongly correlated quantum matter. Experimental ion-trap…

Observation of prethermalization in long-range interacting spin chains

- PhysicsScience Advances
- 2017

This work experimentally studies the relaxation dynamics of a chain of up to 22 spins evolving under a long-range transverse-field Ising Hamiltonian following a sudden quench, and shows that prethermalization occurs in a broader context than previously thought, and reveals new challenges for a generic understanding of the thermalization of quantum systems, particularly in the presence of long- range interactions.

Quantum spin dynamics and entanglement generation with hundreds of trapped ions

- PhysicsScience
- 2016

It is shown that a two-dimensional “crystal” of around 200 9Be+ ions held together by magnetic and electric fields in a so-called Penning trap can simulate quantum magnetism, which sets the stage for simulations with more complicated forms of interaction that classical computers would find intractable.

Observation of discrete time-crystalline order in a disordered dipolar many-body system

- PhysicsNature
- 2017

This work observes long-lived temporal correlations, experimentally identifies the phase boundary and finds that the temporal order is protected by strong interactions, which opens the door to exploring dynamical phases of matter and controlling interacting, disordered many-body systems.

Spectroscopy of Interacting Quasiparticles in Trapped Ions.

- PhysicsPhysical review letters
- 2015

A spectroscopic technique to study artificial quantum matter and use it for characterizing quasiparticles in a many-body system of trapped atomic ions, suitable for verifying quantum simulators by tuning them into regimes where the collective excitations have a simple form.

Many-body localization in a quantum simulator with programmable random disorder

- Physics
- 2016

Interacting quantum systems are expected to thermalize, but in some situations in the presence of disorder they can exist in localized states instead. This many-body localization is studied…

Quasiparticle engineering and entanglement propagation in a quantum many-body system

- PhysicsNature
- 2014

First, the entanglement distributed by quasiparticles as they trace out light-cone-like wavefronts is observed, and second, using the ability to tune the interaction range in the system, information propagation is observed in an experimental regime where the effective-light-cone picture does not apply.

Observation of many-body localization of interacting fermions in a quasirandom optical lattice

- PhysicsScience
- 2015

This experiment experimentally observed this nonergodic evolution for interacting fermions in a one-dimensional quasirandom optical lattice and identified the MBL transition through the relaxation dynamics of an initially prepared charge density wave.

Creation of two-dimensional Coulomb crystals of ions in oblate Paul traps for quantum simulations

- Physics
- 2014

We develop the theory to describe the equilibrium ion positions and phonon modes for a trapped ion quantum simulator in an oblate Paul trap that creates two-dimensional Coulomb crystals in a…

Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins

- PhysicsNature
- 2012

A spin-dependent optical dipole force can produce an antiferromagnetic interaction, and this demonstration, coupled with the high spin count, excellent quantum control and low technical complexity of the Penning trap, brings within reach the simulation of otherwise computationally intractable problems in quantum magnetism.