Entanglement generation in $(1+1)D$ QED scattering processes

Abstract

We study real-time meson-meson scattering processes in $(1+1)$-dimensional QED by means of Tensor Networks. We prepare initial meson wave packets with given momentum and position introducing an approximation based on the free fermions model. Then, we compute the dynamics of two initially separated colliding mesons, observing a rich phenomenology as the interaction strength and the initial states are varied in the weak and intermediate coupling regimes. Finally, we consider elastic collisions and measure some scattering amplitudes as well as the entanglement generated by the process. Remarkably, we identify two different regimes for the asymptotic entanglement between the outgoing mesons: it is perturbatively small below a threshold coupling, past which its growth as a function of the coupling abruptly accelerates.

21 pages, 15 figures, v4: replace wrong figure file accidentally introduced in v3

References in corpus (25)

• The density-matrix renormalization group in the age of matrix product states
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Criticality, the area law, and the computational power of PEPS
• Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
• The QCD phase diagram at nonzero quark density
• Tensor Networks for Lattice Gauge Theories with continuous groups
• Quantum simulation of the Schwinger model: A study of feasibility
• Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States
• Efficient Basis Formulation for (1+1)-Dimensional SU(2) Lattice Gauge Theory: Spectral calculations with matrix product states
• Lattice Gauge Tensor Networks
• Unconstrained Tree Tensor Network: An adaptive gauge picture for enhanced performance
• Discrete Abelian Gauge Theories for Quantum Simulations of QED
• Lattice Quantum Electrodynamics in (3+1)-dimensions at finite density with Tensor Networks
• Efficient Tensor Network ansatz for high-dimensional quantum many-body problems
• Scattering of mesons in quantum simulators
• Simulation of three-dimensional quantum systems with projected entangled-pair states
• Variational Monte Carlo simulation with tensor networks of a pure ${\mathbb{Z}}_3$ gauge theory in (2+1)d
• Emergent Bloch oscillations in a kinetically constrained Rydberg spin lattice
• Lattice Hamiltonian approach to the massless Schwinger model: precise extraction of the mass gap
• ${\mathbb{Z}}_N$ lattice gauge theory in a ladder geometry
• Wilson Loops and Area Laws in Lattice Gauge Theory Tensor Networks

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