Topological Boundary Time Crystal Oscillations
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914339570581504 |
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| author | Nemeth, Dominik Nazir, Ahsan Principi, Alessandro Slager, Robert-Jan |
| author_facet | Nemeth, Dominik Nazir, Ahsan Principi, Alessandro Slager, Robert-Jan |
| contents | Boundary time crystals (BTCs) break time-translation symmetry and exhibit long-lived, robust oscillations insensitive to initial conditions. We show that collective spin BTCs can admit emergent topological winding numbers in operator space. Expanding the density operator in a spherical tensor basis, we map the Lindblad dynamics onto an effective local hopping problem, where collective degrees of freedom label sites of an emergent two-dimensional operator space lattice and identify topological obstructions that enforce the delocalization of operator modes on the lattice. The resulting spectral delocalization provides a natural explanation for the robust oscillatory dynamics observed in BTCs. When combined with non-reciprocal transport of operator weight across operator space, this mechanism moreover also leads to the universality of long-time dynamics across a broad class of initial states. Our results frame BTC dynamics as a form of topologically constrained operator space transport and suggest a close connection to non-Hermitian skin-effects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17765 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Topological Boundary Time Crystal Oscillations Nemeth, Dominik Nazir, Ahsan Principi, Alessandro Slager, Robert-Jan Quantum Physics Mesoscale and Nanoscale Physics Other Condensed Matter Boundary time crystals (BTCs) break time-translation symmetry and exhibit long-lived, robust oscillations insensitive to initial conditions. We show that collective spin BTCs can admit emergent topological winding numbers in operator space. Expanding the density operator in a spherical tensor basis, we map the Lindblad dynamics onto an effective local hopping problem, where collective degrees of freedom label sites of an emergent two-dimensional operator space lattice and identify topological obstructions that enforce the delocalization of operator modes on the lattice. The resulting spectral delocalization provides a natural explanation for the robust oscillatory dynamics observed in BTCs. When combined with non-reciprocal transport of operator weight across operator space, this mechanism moreover also leads to the universality of long-time dynamics across a broad class of initial states. Our results frame BTC dynamics as a form of topologically constrained operator space transport and suggest a close connection to non-Hermitian skin-effects. |
| title | Topological Boundary Time Crystal Oscillations |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Other Condensed Matter |
| url | https://arxiv.org/abs/2602.17765 |