# Quantum Physics in Connected Worlds

@inproceedings{Tindall2022QuantumPI, title={Quantum Physics in Connected Worlds}, author={Joseph Tindall and Amy Searle and Abdulla Alhajri and Dieter Jaksch}, year={2022} }

Theoretical research into many-body quantum systems has focused almost exclusively on regular structures which have a small, simple unit cell and where only a vanishingly small number of pairs of the constituents directly interact. Motivated by rapid advances in control over the pairwise interactions and geometries in many-body simulators, we determine the fate of many-body spin systems on more general, arbitrary graphs. When placing the minimum possible constraints on the underlying graph, we…

## References

SHOWING 1-10 OF 52 REFERENCES

Long-range interacting quantum systems

- Physics
- 2021

The presence of non-local and long-range interactions in quantum systems induces several peculiar features in their equilibrium and out-of-equilibrium behavior. In current experimental platforms…

One-dimensional quantum many body systems with long-range interactions

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2019

The presence of algebraically decaying long-range interactions may alter the critical as well as topological behaviour of a quantum many-body systems. However, when the interaction decays at a faster…

Many-body physics with individually controlled Rydberg atoms

- Physics
- 2020

Recent decades have witnessed great developments in the field of quantum simulation—where synthetic systems are built and studied to gain insight into complicated, many-body real-world problems.…

Quantum synchronisation enabled by dynamical symmetries and dissipation

- PhysicsNew Journal of Physics
- 2020

In nature, instances of synchronisation abound across a diverse range of environments. In the quantum regime, however, synchronisation is typically observed by identifying an appropriate parameter…

Emergence and Frustration of Magnetism with Variable-Range Interactions in a Quantum Simulator

- PhysicsScience
- 2013

This prototypical quantum simulation points the way toward a new probe of frustrated quantum magnetism and perhaps the design of new quantum materials.

Moiré heterostructures as a condensed-matter quantum simulator

- PhysicsNature Physics
- 2021

These twisted van der Waals heterostructures are proposed as an efficient, reliable and scalable quantum platform that enables the seamless realization and control of a plethora of interacting quantum models in a solid state framework to study strongly correlated physics and topology.

Superconducting quantum many-body circuits for quantum simulation and computing

- PhysicsApplied Physics Letters
- 2020

Quantum simulators are attractive as a means to study many-body quantum systems that are not amenable to classical numerical treatment. A versatile framework for quantum simulation is offered by…

Programmable quantum simulations of spin systems with trapped ions

- Physics
- 2021

Author(s): Monroe, C; Campbell, WC; Duan, LM; Gong, ZX; Gorshkov, AV; Hess, PW; Islam, R; Kim, K; Linke, NM; Pagano, G; Richerme, P; Senko, C; Yao, NY | Abstract: Laser-cooled and trapped atomic ions…

Quantum approximate optimization of the long-range Ising model with a trapped-ion quantum simulator

- Physics, Computer ScienceProceedings of the National Academy of Sciences
- 2020

This work applies a variational quantum algorithm (QAOA) to approximate the ground-state energy of a long-range Ising model, both quantum and classical, and investigates the algorithm performance on a trapped-ion quantum simulator, observing that the QAOA performance does not degrade significantly as the authors scale up the system size and that the runtime is approximately independent from the number of qubits.

Quantum dynamics of disordered spin chains with power-law interactions

- PhysicsPhysical Review A
- 2019

We use extensive numerical simulations based on matrix product state methods to study the quantum dynamics of spin chains with strong on-site disorder and power-law decaying ($1/r^\alpha$)…