Oana Bǎzǎvan, Sebastian Saner, Emanuelle Tirrito, Gabriel Araneda, Raghavendra Srinivas, Alejandro Bermudez
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引用次数: 0
Abstract
Resource efficient schemes for the quantum simulation of lattice gauge theories can benefit from hybrid encodings of gauge and matter fields that use the native degrees of freedom, such as internal qubits and motional phonons in trapped-ion devices. We propose to use a parametric scheme to induce a tunneling of the phonons conditioned to the internal qubit state which, when implemented with a single trapped ion, corresponds to a minimal $${{\mathbb{Z}}}_{2}$$ gauge theory. To evaluate the feasibility of this scheme, we perform numerical simulations of the state-dependent tunneling using realistic parameters, and identify the leading sources of error in future experiments. We discuss how to generalize this minimal case to more complex settings by increasing the number of ions, moving from a single link to a $${{\mathbb{Z}}}_{2}$$ plaquette, and to an entire $${{\mathbb{Z}}}_{2}$$ chain. We present analytical expressions for the gauge-invariant dynamics and the corresponding confinement, which are benchmarked using matrix product state simulations. An outstanding question for gauge-theory quantum simulators is to find viable schemes that allow one to move from the initial prototypes towards the large-scale regime. In this work, the authors present a detailed toolbox for the quantum simulator of Z2 lattice gauge theories coupled to dynamical matter using trapped-ion systems that can overcome these limitations.
期刊介绍:
Communications Physics is an open access journal from Nature Research publishing high-quality research, reviews and commentary in all areas of the physical sciences. Research papers published by the journal represent significant advances bringing new insight to a specialized area of research in physics. We also aim to provide a community forum for issues of importance to all physicists, regardless of sub-discipline.
The scope of the journal covers all areas of experimental, applied, fundamental, and interdisciplinary physical sciences. Primary research published in Communications Physics includes novel experimental results, new techniques or computational methods that may influence the work of others in the sub-discipline. We also consider submissions from adjacent research fields where the central advance of the study is of interest to physicists, for example material sciences, physical chemistry and technologies.