Quantum simulations of hadron dynamics in the Schwinger model using 112 qubits

Farrell, Roland C.; Illa, Marc; Ciavarella, Anthony N.; Savage, Martin J.

doi:10.1103/physrevd.109.114510

Phys. Rev. D

2024

DOI: 10.1103/physrevd.109.114510

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Quantum simulations of hadron dynamics in the Schwinger model using 112 qubits

Roland C. Farrell,

Marc Illa,

Anthony N. Ciavarella

et al.

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Cited by 22 publications

References 163 publications

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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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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.

View full text Add to dashboard Cite

show abstract

Real-time chiral dynamics at finite temperature from quantum simulation

Ikeda,

Kang,

Kharzeev

et al. 2024

J. High Energ. Phys.

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In this study, we explore the real-time dynamics of the chiral magnetic effect (CME) at a finite temperature in the (1+1)-dimensional QED, the massive Schwinger model. By introducing a chiral chemical potential μ5 through a quench process, we drive the system out of equilibrium and analyze the induced vector currents and their evolution over time. The Hamiltonian is modified to include the time-dependent chiral chemical potential, thus allowing the investigation of the CME within a quantum computing framework. We employ the quantum imaginary time evolution (QITE) algorithm to study the thermal states, and utilize the Suzuki-Trotter decomposition for the real-time evolution. This study provides insights into the quantum simulation capabilities for modeling the CME and offers a pathway for studying chiral dynamics in low-dimensional quantum field theories.

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Feynman’s “Simulating Physics with Computers”

Alsing,

Cafaro,

Mancini

2024

Int J Theor Phys

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Quantum simulations of hadron dynamics in the Schwinger model using 112 qubits

Cited by 22 publications

References 163 publications

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

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

Real-time chiral dynamics at finite temperature from quantum simulation

Feynman’s “Simulating Physics with Computers”

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