Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits

Marcos, D.; Widmer, Philippe; Rico, E.; Hafezi, M.; Rabl, P.; Wiese, Uwe-Jens (2014). Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits. Annals of physics, 351, pp. 634-654. Elsevier 10.1016/j.aop.2014.09.011

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A quantum simulator of U(1) lattice gauge theories can be implemented with superconducting circuits. This allows the investigation of confined and deconfined phases in quantum link models, and of valence bond solid and spin liquid phases in quantum dimer models. Fractionalized confining strings and the real-time dynamics of quantum phase transitions are accessible as well. Here we show how state-of-the-art superconducting technology allows us to simulate these phenomena in relatively small circuit lattices. By exploiting the strong non-linear couplings between quantized excitations emerging when superconducting qubits are coupled, we show how to engineer gauge invariant Hamiltonians, including ring-exchange and four-body Ising interactions. We demonstrate that, despite decoherence and disorder effects, minimal circuit instances allow us to investigate properties such as the dynamics of electric flux strings, signaling confinement in gauge invariant field theories. The experimental realization of these models in larger superconducting circuits could address open questions beyond current computational capability.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Widmer, Philippe and Wiese, Uwe-Jens

Subjects:

500 Science > 530 Physics

ISSN:

0003-4916

Publisher:

Elsevier

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

21 Nov 2014 14:23

Last Modified:

24 Sep 2015 09:40

Publisher DOI:

10.1016/j.aop.2014.09.011

BORIS DOI:

10.7892/boris.60199

URI:

https://boris.unibe.ch/id/eprint/60199

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