title: Non-Markovian Complexity in the Quantum-to-Classical Transition.
abstract: The quantum-to-classical transition is due to environment-induced decoherence, and it depicts how classical dynamics emerges from quantum systems. Previously, the quantum-to-classical transition has mainly been described with memory-less (Markovian) quantum processes. Here we study the complexity of the quantum-to-classical transition through general non-Markovian memory processes. That is, the influence of various reservoirs results in a given initial quantum state evolving into one of the following four scenarios: thermal state, thermal-like state, quantum steady state, or oscillating quantum nonstationary state. In the latter two scenarios, the system maintains partial or full quantum coherence due to the strong non-Markovian memory effect, so that in these cases, the quantum-to-classical transition never occurs. This unexpected new feature provides a new avenue for the development of future quantum technologies because the remaining quantum oscillations in steady states are decoherence-free.
authors: Department of Physics and Center for Quantum Information Science, National Cheng Kung University, Tainan 70101, Taiwan.|Department of Applied Physics, Zhejiang University of Technology, Hangzhou 310023, China.
authors: Heng-Na
authors: HN
authors: Xiong
authors: Department of Physics and Center for Quantum Information Science, National Cheng Kung University, Tainan 70101, Taiwan.
authors: Ping-Yuan
authors: PY
authors: Lo
authors: Department of Physics and Center for Quantum Information Science, National Cheng Kung University, Tainan 70101, Taiwan.
authors: Wei-Min
authors: WM
authors: Zhang
authors: University of Macau, Taipa, Macau, China.
authors: Da Hsuan
authors: DH
authors: Feng
authors: Center for Emergent Matter Science, RIKEN, Saitama 351-0198, Japan.|Physics Department, The University of Michigan, Ann Arbor, Michigan 48109-1040, USA.
authors: Franco
authors: F
authors: Nori