Liouvillian dynamics of the open Schwinger model: String breaking and kinetic dissipation in a thermal medium

Lee, Kyle; Mulligan, James; Ringer, Felix; Yao, Xiaojun

doi:10.1103/physrevd.108.094518

Cited by 8 publications

(1 citation statement)

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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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Real-time dynamics of the Schwinger model as an open quantum system with Neural Density Operators

Lin,

Luo,

Yao

et al. 2024

J. High Energ. Phys.

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Ab-initio simulations of multiple heavy quarks propagating in a Quark-Gluon Plasma are computationally difficult to perform due to the large dimension of the space of density matrices. This work develops machine learning algorithms to overcome this difficulty by approximating exact quantum states with neural network parametrisations, specifically Neural Density Operators. As a proof of principle demonstration in a QCD-like theory, the approach is applied to solve the Lindblad master equation in the 1 + 1d lattice Schwinger Model as an open quantum system. Neural Density Operators enable the study of in-medium dynamics on large lattice volumes, where multiple-string interactions and their effects on string-breaking and recombination phenomena can be studied. Thermal properties of the system at equilibrium can also be probed with these methods by variationally constructing the steady state of the Lindblad master equation. Scaling of this approach with system size is studied, and numerical demonstrations on up to 32 spatial lattice sites and with up to 3 interacting strings are performed.

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