Quantum simulation of nonequilibrium dynamics and thermalization in the Schwinger model

Jong, Wibe A. de; Lee, Kyle; Mulligan, J. D.; Płoskoń, M.; Ringer, Felix; Yao, Xiaojun

doi:10.1103/physrevd.106.054508

Cited by 59 publications

(4 citation statements)

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“…For the demonstration of our spectroscopy heuristics, we consider the Scwhinger model, (1+1)dimensional quantum electrodynamics with non-trivial topological angle 𝜃 [7,8], which is a good test ground of quantum simulations in the context of high energy physics [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. The Lagrangian density of the Schwinger model reads…”

Section: Introductionmentioning

confidence: 99%

Digital Quantum Simulation for Spectroscopy of Schwinger Model

Ghim,

Honda

2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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This note discusses a method for computing the energy spectra of quantum field theory utilizing digital quantum simulation. A quantum algorithm, called coherent imaging spectroscopy, quenches the vacuum with a time-oscillating perturbation and then reads off the excited energy levels from the loss in the vacuum-to-vacuum probability following the quench. As a practical demonstration, we apply this algorithm to the (1+1)-dimensional quantum electrodynamics with a topological term known as the Schwinger model, where the conventional Monte Carlo approach is practically inaccessible. In particular, on a classical simulator, we prepare the vacuum of the Schwinger model on a lattice by adiabatic state preparation and then apply various types of quenches to the approximate vacuum through Suzuki-Trotter time evolution. We discuss the dependence of the simulation results on the specific types of quenches and introduce various consistency checks, including the exact diagonalization and the continuum limit extrapolation. The estimation of the computational complexity required to obtain physically reasonable results implies that the method is likely efficient in the coming era of early fault-tolerant quantum computers.

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Section: Introductionmentioning

confidence: 99%

Digital Quantum Simulation for Spectroscopy of Schwinger Model

Ghim,

Honda

2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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“…The first study of this setup was carried out in [10] using a numerical classicalstatistical approach. Coupling the Schwinger model to an external Yukawa theory has also been used to mimic the propagation of jets through a thermal environment [11]. Various other aspects of the Schwinger model have also been addressed using quantum simulations, see [12][13][14][15][16][17] for examples and [18] for a recent review of quantum simulations.…”

Section: Introductionmentioning

confidence: 99%

Real-time non-perturbative dynamics of jet production: quantum entanglement and vacuum modification

Florio¹,

Frenklakh²,

Ikeda³

et al. 2023

Preprint

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The production of jets should allow to test the real-time response of the QCD vacuum disturbed by the propagation of high-momentum color charges. Addressing this problem theoretically requires a real-time, non-perturbative method. As a step in developing such an approach, we report here on fully quantum simulations of a massive Schwinger model coupled to external sources representing quark and antiquark jets as produced in e + e − annihilation. It is well known that the Schwinger model [QED in (1 + 1) dimensions] shares many common properties with QCD, including confinement, chiral symmetry breaking and the existence of vacuum fermion condensate. This allows us to study, for the first time, the modification of the vacuum chiral condensate by the propagating jets, and the quantum entanglement between the fragmenting jets. Our results indicate strong entanglement between the fragmentation products of the two jets at rapidity separations ∆η ≤ 2 that can potentially be studied in experiment.

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“…Quantum time evolution is a central task in physics. Real-time evolution provides detailed insight into properties of quantum mechanical systems, such as phase transitions [1][2][3] or thermalization [4,5]. Imaginary-time evolution is an important tool that enables the preparation of ground states or thermal states [6,7].…”

Section: Introductionmentioning

confidence: 99%