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math-phMay 1, 2024
authors
  • Hajime Moriya
  • Heide Narnhofer
institutions
  • Kanazawa University
  • University of Vienna
arXiv abstractPDF
paper

Continuous extension of the discrete shift translations on one-dimensional quantum lattice systems

arXiv:2405.01001 · doi:10.1090/proc/16919

Abstract

We study the continuous extension of discrete shift translations on one-dimensional quantum lattice systems.

13 pages with minor revisions

References in corpus (14)

  • Index theory of one dimensional quantum walks and cellular automata
  • A review of Quantum Cellular Automata
  • Strictly linear light cones in long-range interacting systems of arbitrary dimensions
  • Equilibrium Statistical Mechanics of Fermion Lattice Systems
  • An improved Lieb-Robinson bound for many-body Hamiltonians with power-law interactions
  • Improving the Lieb-Robinson bound for long-range interactions
  • A no-go theorem for the continuum limit of a periodic quantum spin chain
  • Long-Range Free Fermions: Lieb-Robinson Bound, Clustering Properties, and Topological Phases
  • A converse to Lieb-Robinson bounds in one dimension using index theory
  • Does causal dynamics imply local interactions?
  • Quantum Dynamics Generated by Long-Range Interactions for Lattice Fermions and Quantum Spins
  • Homotopy type of the space of finite propagation unitary operators on Z
  • Nonexistence of spontaneous symmetry breakdown of time-translation symmetry on general quantum systems: Any macroscopic order parameter moves not!
  • Frobenius light cone and the shift unitary
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