Abstract
The recent rapid experimental advancement in the engineering of quantum many-body systems opens the avenue to controlled studies of fundamental physics problems via digital or analog quantum simulations. Here, we systematically analyze the capability of analog ion traps to explore relativistic meson spectra on current devices. We focus on the E_8 quantum field theory regime, which arises due to longitudinal perturbations at the critical point of the transverse-field Ising model. As we show through exact numerics, for sufficiently strong long-range suppression in experimentally accessible spin chain models, absorption spectroscopy allows for the identification of the low-lying meson excitations with a good degree of accuracy even for small system sizes. Our proposal thus opens a way for probing salient features of quantum many-body systems reminiscent of meson properties in high-energy physics.
Highlights
Emergent phenomena of quantum many-body (QMB) systems play a major role in condensed matter and particle physics [1–3]
As we show through exact numerics, for sufficiently strong long-range suppression in experimentally accessible spin chain models, absorption spectroscopy allows for the identification of the low-lying meson excitations with a good degree of accuracy even for small system sizes
We have demonstrated that the relativistic E8 quantum field theory (QFT) can be identified experimentally on ion-trap quantum simulators
Summary
Emergent phenomena of quantum many-body (QMB) systems play a major role in condensed matter and particle physics [1–3]. We are interested in using trapped-ion devices to study mesons, which are nonperturbative bound states consisting of two subparticles or charges They appear prominently in quantum chromodynamics (QCD), the theory of strong interactions within the standard model of particle physics, where a quark-antiquark pair is confined by a flux tube. Remarkable prediction of Zamolodchikov that the resulting interacting E8 QFT is integrable and governed by the exceptional simple Lie algebra of rank 8 [55] While experimentally the range 0 α 3 is in principle accessible [71,72], it was observed, e.g., in [73] that already for α ≈ 3, the physics of the system can resemble closely the NN model
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