Global Quenches after Localised Perturbations

Abstract

We investigate the effect of a single spin flip preceding a global quench between translationally invariant local Hamiltonians in spin-$\frac{1}{2}$ chains. The effect of the localised perturbation does not fade away however large the distance from the perturbation is. In particular, translational invariance is not restored and the infinite time limit depends on whether the spin was flipped or not. We argue that this phenomenon is more general than the particular example considered and we conjecture that it is triggered by topological properties, specifically, the existence of "semilocal charges".

6 pages, 3 figures; v4: minor refinement

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Cited by in corpus (14)

• Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
• Macroscopic effects of localised measurements in jammed states of quantum spin chains
• Measurement catastrophe and ballistic spread of charge density with vanishing current
• Universality in the tripartite information after global quenches
• Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles
• Universality in the tripartite information after global quenches: (generalised) quantum XY models
• Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain
• Quantum jamming brings quantum mechanics to macroscopic scales
• Growing Schrödinger's cat states by local unitary time evolution of product states
• Inhomogeneous SU(2) symmetries in homogeneous integrable U(1) circuits and transport
• Generalized hydrodynamics of integrable quantum circuits
• Integrability and charge transport in asymmetric quantum-circuit geometries
• Universality in the tripartite information after global quenches: spin flip and semilocal charges
• $su(2)$ symmetry of XX spin chains