Real-time scattering of interacting quasiparticles in quantum spin chains

2019/07/31 by Maarten Van Damme, Laurens Vanderstraeten, Jacopo De Nardis +2
Computer Science · Physics and Astronomy · #Degrees of freedom (physics and chemistry) #Neural Networks and Reservoir Computing #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Quantum mechanics #Quasiparticle #Reflection (computer programming) #Scattering #Spin (aerodynamics) #Tensor (intrinsic definition) #Wave packet #cond-mat.str-el

paper · pdf · doi:10.1103/physrevresearch.3.013078

published as Phys. Rev. Research 3, 013078 (2021)

arxiv created 2020/07/03 · openalex publication_date 2021/01/25 · arxiv updated 2021/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We develop a method based on tensor networks to create localized single-particle excitations on top of strongly correlated quantum spin chains. In analogy to the problem of creating localized Wannier modes, this is achieved by optimizing the gauge freedom of momentum excitations on top of matrix product states. The corresponding wave packets propagate almost dispersionlessly. The time-dependent variational principle is used to scatter two such wave packets, and we extract the phase shift from the collision data. We also study reflection and transmission coefficients of a wave packet impinging on an impurity.

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