Relativistic meson spectra on ion-trap quantum simulators

Knaute, Johannes; Hauke, Philipp

doi:10.1103/physreva.105.022616

Cited by 8 publications

(3 citation statements)

References 96 publications

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“…This includes the development of techniques to simulate abelian gauge theories , non-abelian gauge theories , fermionic field theories [98][99][100][101], and scalar field theories [102][103][104][105][106][107][108]. There has also been the development of techniques to extract observables of interest to nuclear physics [109][110][111][112][113][114][115], scattering processes in high energy physics [116][117][118][119][120][121][122][123] and methods to mitigate errors on noisy quantum hardware [124][125][126][127][128][129]. Currently available hardware and our present understanding of quantum algorithms has so far limited quantum simulations of lattice gauge theories to one-and two-dimensions with only a small number of lattice sites [66,71,73,83,85,[91][92][93].…”

Section: Introductionmentioning

confidence: 99%

State Preparation in the Heisenberg Model through Adiabatic Spiraling

Ciavarella

Caspar

Illa

et al. 2023

Quantum

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An adiabatic state preparation technique, called the adiabatic spiral, is proposed for the Heisenberg model. This technique is suitable for implementation on a number of quantum simulation platforms such as Rydberg atoms, trapped ions, or superconducting qubits. Classical simulations of small systems suggest that it can be successfully implemented in the near future. A comparison to Trotterized time evolution is performed and it is shown that the adiabatic spiral is able to outperform Trotterized adiabatics.

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Section: Introductionmentioning

confidence: 99%

State Preparation in the Heisenberg Model through Adiabatic Spiraling

Ciavarella

Caspar

Illa

et al. 2023

Quantum

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“…While signatures of confinement have been observed for this model in a NISQ simulator [42] (see also Refs. [43,44]), digital quantum simulation of the energy spectrum has remained elusive. This is performed in this work using a quench experiment on IBM's ibmq_mumbai (hereafter referred to as IBM Mumbai) simulator which is one of the IBM Quantum Falcon Processors.…”

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confidence: 99%

Ising Meson Spectroscopy on a Noisy Digital Quantum Simulator

Roy

Lamb

Tang

et al. 2023

Preprint

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Quantum simulation has the potential to be an indispensable technique for the investigation of non-perturbative phenomena in strongly-interacting quantum field theories (QFTs). In the modern quantum era, with Noisy Intermediate Scale Quantum (NISQ) simulators widely available and larger-scale quantum machines on the horizon, it is natural to ask: what non-perturbative QFT problems can be solved with the existing quantum hardware? We show that existing noisy quantum machines can be used to analyze the energy spectrum of a large family of strongly-interacting 1+1D QFTs. The latter exhibit a wide-range of non-perturbative effects like ‘quark confinement’ and ‘false vacuum decay’ which are typically associated with higher-dimensional QFTs of elementary particles. We perform quench experiments on IBM’s ibmq_mumbai quantum simulator to compute the energy spectrum of 1+1D quantum Ising model with a longitudinal field. The latter model is particularly interesting due to the formation of mesonic bound states arising from a confining potential for the Ising domain-walls, reminiscent of t’Hooft’s model of two-dimensional quantum chromodynamics. Our results demonstrate that digital quantum simulation in the NISQ era has the potential to be a viable alternative to numerical techniques such as density matrix renormalization group or the truncated conformal space methods for analyzing QFTs.

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“…Our TN approach is also closely related to the field of quantum simulations [11][12][13][14], in which quantum hardware is utilized to study many-body problems via digital or analog implementations. Recently, there has been a considerable amount of attention to the potential use of these technologies for studies of meson physics, both in experimental measurements [15][16][17][18] as well as in theoretical proposals [19][20][21][22][23], which provides an additional motivation for our study.…”

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confidence: 99%

A quantum information perspective on meson melting

Bañuls¹,

Heller²,

Jansen³

et al. 2022

Preprint

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We propose to use quantum information notions to characterize thermally induced melting of nonperturbative bound states at high temperatures. We apply tensor networks to investigate this idea in static and dynamical settings within the Ising quantum field theory, where bound states are confined fermion pairs -mesons. In equilibrium, we identify the transition from an exponential decay to a power law scaling with temperature in an efficiently computable second Rényi entropy of a thermal density matrix as a signature of meson melting. Out of equilibrium, we identify as the relevant signature the transition from an oscillatory to a linear growing behavior of reflected entropy after a thermal quench. These analyses apply more broadly, which brings new ways of describing in-medium meson phenomena in quantum many-body and high-energy physics.

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Relativistic meson spectra on ion-trap quantum simulators

Cited by 8 publications

References 96 publications

State Preparation in the Heisenberg Model through Adiabatic Spiraling

State Preparation in the Heisenberg Model through Adiabatic Spiraling

Ising Meson Spectroscopy on a Noisy Digital Quantum Simulator

A quantum information perspective on meson melting

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