Spin-induced noncommutativity in the Bateman oscillator yields discrete scaling covariance in amplified and damped modes, producing self-similar evolution and history-dependent non-Markovian reduced dynamics.
On the phase structure of driven quantum systems
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
Clean and interacting periodically driven quantum systems are believed to exhibit a single, trivial "infinite-temperature" Floquet-ergodic phase. In contrast, here we show that their disordered Floquet many-body localized counterparts can exhibit distinct ordered phases delineated by sharp transitions. Some of these are analogs of equilibrium states with broken symmetries and topological order, while others - genuinely new to the Floquet problem - are characterized by order and non-trivial periodic dynamics. We illustrate these ideas in driven spin chains with Ising symmetry.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Spin-induced deformation creates a Bateman dual oscillator whose reduced non-Markovian dynamics produces time-crystal-like ordering and fractal scaling in a closed quantum system.
citing papers explorer
-
Spin-Induced Fractal Time-Crystal-Like Dynamics and Non-Markovian Memory in the Bateman Dual Oscillator
Spin-induced noncommutativity in the Bateman oscillator yields discrete scaling covariance in amplified and damped modes, producing self-similar evolution and history-dependent non-Markovian reduced dynamics.
-
Spin-Induced Non-Markovian Time-Crystal-Like Dynamics and Fractal Scaling in the Bateman Dual Oscillator
Spin-induced deformation creates a Bateman dual oscillator whose reduced non-Markovian dynamics produces time-crystal-like ordering and fractal scaling in a closed quantum system.