Memory-driven Topological Defects and Unconventional Long-Range Order
Abstract
We investigate many-body systems with time-delayed self-interactions mediated by a memory-feedback mechanism. We show that such temporal interactions generate non-equilibrium orders and unique topological defects absent in equilibrium-specifically, helical vortices wherein opposite vorticities propagate in reverse directions along domain walls. In one dimension, memory feedback stabilizes true long-range order against weak noise, thereby circumventing the Mermin-Wagner theorem and resulting in an unconventional finite-temperature phase transition with a dynamical exponent z = 4. Physical realizations of these memory-driven non-equilibrium systems using active mechatronic metamaterials has also been proposed. These results demonstrate engineered temporal interactions as a powerful paradigm for non-equilibrium many-body physics.
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BibTeX
@misc{ding2026memorydriven,
title = {{Memory-driven Topological Defects and Unconventional Long-Range Order}},
author = {Ziyang Ding and Zi Cai},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02586},
eprint = {2609.02586},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.02586},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Memory-driven Topological Defects and Unconventional Long-Range Order
AU - Ziyang Ding
AU - Zi Cai
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.02586
UR - https://arxiv.org/abs/2609.02586
AB - We investigate many-body systems with time-delayed self-interactions mediated by a memory-feedback mechanism. We show that such temporal interactions generate non-equilibrium orders and unique topological defects absent in equilibrium-specifically, helical vortices wherein opposite vorticities propagate in reverse directions along domain walls. In one dimension, memory feedback stabilizes true long-range order against weak noise, thereby circumventing the Mermin-Wagner theorem and resulting in an unconventional finite-temperature phase transition with a dynamical exponent z = 4. Physical realizations of these memory-driven non-equilibrium systems using active mechatronic metamaterials has also been proposed. These results demonstrate engineered temporal interactions as a powerful paradigm for non-equilibrium many-body physics.
ER -