# Engineering generalized Gibbs ensembles with trapped ions

@article{Reiter2021EngineeringGG, title={Engineering generalized Gibbs ensembles with trapped ions}, author={Florentin Reiter and Florian Lange and Shreyansh Jain and Matt Grau and J. P. Home and Zala Lenar{\vc}i{\vc}}, journal={Physical Review Research}, year={2021} }

The concept of generalized Gibbs ensembles (GGEs) has been introduced to describe steady states of integrable models. Recent advances show that GGEs can also be stabilized in nearly integrable quantum systems when driven by external fields and open. Here, we present a weakly dissipative dynamics that drives towards a steady-state GGE and is realistic to implement in systems of trapped ions. We outline the engineering of the desired dissipation by a combination of couplings which can be realized…

## Figures from this paper

## 3 Citations

### Dissipative preparation of W states in trapped ion systems

- PhysicsNew Journal of Physics
- 2021

We present protocols for dissipative entanglement of three trapped-ion qubits and discuss a scheme that uses sympathetic cooling as the dissipation mechanism. This scheme relies on tailored…

### Constructing Integrable Lindblad Superoperators.

- Physics, MathematicsPhysical review letters
- 2021

A new method is developed for the construction of one-dimensional integrable Lindblad systems, which describe quantum many body models in contact with a Markovian environment and establishes a structured approach to the study of solvable open quantum systems.

### The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas

- PhysicsSciPost Physics
- 2020

We theoretically investigate the effect of atom losses in the
one-dimensional (1D) Bose gas with repulsive contact interactions, a
famous quantum integrable system also known as the Lieb-Liniger gas.…

## References

SHOWING 1-10 OF 89 REFERENCES

### 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.

### Perturbative approach to weakly driven many-particle systems in the presence of approximate conservation laws

- Physics
- 2018

We develop a Liouville perturbation theory for weakly driven and weakly open quantum systems in situations when the unperturbed system has a number of conservations laws. If the perturbation violates…

### Effective operator formalism for open quantum systems

- Physics
- 2012

We present an effective operator formalism for open quantum systems. Employing perturbation theory and adiabatic elimination of excited states for a weakly driven system, we derive an effective…

### and a at

- ChemistryThe William Makepeace Thackeray Library
- 2018

The xishacorene natural products are structurally unique apolar diterpenoids that feature a bicyclo[3.3.1] framework. These secondary metabolites likely arise from the well-studied, structurally…

### Two-qubit entangling gates within arbitrarily long chains of trapped ions

- PhysicsPhysical Review A
- 2019

Ion trap quantum computers are based on modulating the Coulomb interaction between atomic ion qubits using external forces. However, the spectral crowding of collective motional modes could pose a…

### Sympathetic cooling of 9Be+ and 24Mg+ for quantum logic

- Physics
- 2003

We demonstrate the cooling of a two species ion crystal consisting of one 9 Be + and one 2 4 Mg + ion. Since the respective cooling transitions of these two species are separated by more than 30 nm,…

### Failure of the local generalized Gibbs ensemble for integrable models with bound states

- Physics
- 2014

In this work we study the applicability of the GGE to integrable one dimensional systems with bound states. We find that the GGE fails to describe the long time dynamics for most initial states…

### Stationary behaviour of observables after a quantum quench in the spin-1/2 Heisenberg XXZ chain

- Physics
- 2013

We consider a quantum quench in the spin-1/2 Heisenberg XXZ chain. At late times after the quench it is believed that the expectation values of local operators approach time-independent values that…

### Quantum simulation with ions in micro-fabricated Penning traps

- Physics
- 2018

We propose the use of 2-dimensional Penning trap arrays as a scalable platform for quantum simulation and quantum computing with trapped ions. Using realistic experimental parameters, we show that…