Spontaneous formation of subsystem and bath under accordion-type driving

• URL: http://arxiv.org/abs/2509.12761v1
• Date: Tue, 16 Sep 2025 07:23:52 GMT
• Title: Spontaneous formation of subsystem and bath under accordion-type driving
• Authors: Suyang Lin, Ming Gong, Congjun Wu,
• Abstract summary: Floquet modulations often yield effective Hamiltonians not easily accessible in traditional time-dependent systems.<n>We investigate a Floquet system exhibiting translational symmetry at any fixed time but the spatial periodicity is time-dependent.
• Score: 5.851799572071715
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Floquet modulations often yield effective Hamiltonians not easily accessible in traditional time-dependent systems, which brings opportunities for exploring novel physics of quantum dynamics. We investigate a Floquet system exhibiting translational symmetry at any fixed time but the spatial periodicity is time-dependent. Such a system is a natural platform for studying thermalization and novel dynamical structures. We find that the single-particle Hilbert space spontaneously develops a structure of a two-level subsystem and the rest part forms a bath. The dynamic process is analyzed perturbatively within the two-level subsystem as well as numerical solutions, exhibiting stable time-evolutions. These results enrich our understanding of Floquet thermalization without definite spatial periodicity, which brings hints for exploring many-body physics such as scar states.

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