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26 April 2024 |
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Article overview
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U(1) Wilson lattice gauge theories in digital quantum simulators | | Christine Muschik
; Markus Heyl
; Esteban Martinez
; Thomas Monz
; Philipp Schindler
; Berit Vogell
; Marcello Dalmonte
; Philipp Hauke
; Rainer Blatt
; Peter Zoller
; | | Date: |
27 Dec 2016 | | Abstract: | Lattice gauge theories describe fundamental phenomena in nature, but
calculating their real-time dynamics on classical computers is notoriously
difficult. In a recent publication [Nature 534, 516 (2016)], we proposed and
experimentally demonstrated a digital quantum simulation of the paradigmatic
Schwinger model, a U(1)-Wilson lattice gauge theory describing the interplay
between fermionic matter and gauge bosons. Here, we provide a detailed
theoretical analysis of the performance and the potential of this protocol. Our
strategy is based on analytically integrating out the gauge bosons, which
preserves exact gauge invariance but results in complicated long-range
interactions between the matter fields. Trapped-ion platforms are naturally
suited to implementing these interactions, allowing for an efficient quantum
simulation of the model, with a number of gate operations that scales only
polynomially with system size. Employing numerical simulations, we illustrate
that relevant phenomena can be observed in larger experimental systems, using
as an example the production of particle--antiparticle pairs after a quantum
quench. We investigate theoretically the robustness of the scheme towards
generic error sources, and show that near-future experiments can reach regimes
where finite-size effects are insignificant. We also discuss the challenges in
quantum simulating the continuum limit of the theory. Using our scheme,
fundamental phenomena of lattice gauge theories can be probed using a broad set
of experimentally accessible observables, including the entanglement entropy
and the vacuum persistence amplitude. | | Source: | arXiv, 1612.8653 | | Services: | Forum | Review | PDF | Favorites | |
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