| Title |
From the Jaynes-Cummings model to non-Abelian gauge theories: a guided tour for the quantum engineer / |
| Authors |
Kasper, Valentin ; Juzeliūnas, Gediminas ; Lewenstein, Maciej ; Jendrzejewski, Fred ; Zohar, Erez |
| DOI |
10.1088/1367-2630/abb961 |
| Full Text |
|
| Is Part of |
New journal of physics.. Bristol : IOP Publishing. 2020, vol. 22, art. no. 103027, p. [1-24].. eISSN 1367-2630 |
| Keywords [eng] |
Non-Abelian gauge theories ; Jaynes–Cummings model ; Quantum engineering |
| Abstract [eng] |
The design of quantum many body systems, which have to fulfill an extensive number of constraints, appears as a formidable challenge within the field of quantum simulation. Lattice gauge theories are a particular important class of quantum systems with an extensive number of local constraints and play a central role in high energy physics, condensed matter and quantum information. Whereas recent experimental progress points towards the feasibility of large-scale quantum simulation of abelian gauge theories, the quantum simulation of non-abelian gauge theories appears still elusive. In this paper we present minimal non-abelian lattice gauge theories, whereby we introduce the necessary formalism in well-known abelian gauge theories, such as the Jaynes–Cumming model. In particular, we show that certain minimal non-abelian lattice gauge theories can be mapped to three or four level systems, for which the design of a quantum simulator is standard with current technologies. Further we give an upper bound for the Hilbert space dimension of a one dimensional SU(2) lattice gauge theory, and argue that the implementation with current digital quantum computer appears feasible. |
| Published |
Bristol : IOP Publishing |
| Type |
Journal article |
| Language |
English |
| Publication date |
2020 |
| CC license |
|
