PreprintCC BY 4.0arXiv
Quantum Hamiltonian time crystals from covariant quantum Landau--Lifshitz--Gilbert relaxation
Abstract
Classical Hamiltonian time crystals are constrained energy minima that move along symmetry orbits at frequencies set by Lagrange multipliers. We construct quantum counterparts by minimizing the energy over density matrices with fixed spectrum and charge expectations. A symmetry-covariant quantum Landau--Lifshitz--Gilbert equation selects them as periodic attractors, preserving the spectrum and fixing the multipliers dynamically. A chiral spin trimer motivated by Cu3 molecular magnets realizes this motion at a prepared magnetization, without a Zeeman term.
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BibTeX
@misc{niemi2026quantum,
title = {{Quantum Hamiltonian time crystals from covariant quantum Landau--Lifshitz--Gilbert relaxation}},
author = {Antti J. Niemi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.39886},
eprint = {2610.39886},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.39886},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Hamiltonian time crystals from covariant quantum Landau--Lifshitz--Gilbert relaxation
AU - Antti J. Niemi
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.39886
UR - https://arxiv.org/abs/2610.39886
AB - Classical Hamiltonian time crystals are constrained energy minima that move along symmetry orbits at frequencies set by Lagrange multipliers. We construct quantum counterparts by minimizing the energy over density matrices with fixed spectrum and charge expectations. A symmetry-covariant quantum Landau--Lifshitz--Gilbert equation selects them as periodic attractors, preserving the spectrum and fixing the multipliers dynamically. A chiral spin trimer motivated by Cu_3 molecular magnets realizes this motion at a prepared magnetization, without a Zeeman term.
ER -