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Nonlocality II: Nonlocality as the dynamical origin of the non-markovian process in quantum isolated system

2005/12/21 by Hai-Jhun Wanng, Wanng, Hai-Jhun
Physics and Astronomy · #FOS: Physical sciences #Mechanical and Optical Resonators #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0512182

5 pages, no figures; The version may be updated in resent days

arxiv created 2005/12/21 · openalex publication_date 2005/12/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the previous paper, it has been proved that elastic scattering processes of two quantum particles are always accompanied with nonlocal processes. Furthermore, it is found that setting an additional Hamiltonian after the originally scattering one can help to describe the two type of processes in a united frame. Here we discuss the contribution of this additional Hamiltonian to irreversible process in isolated quantum systems. The use of the Hamiltonian can induce the non-Markovian Langevin equation, showing a complex memory effect, and thus revealing the irreversible essence of isolated system without appealing to reservoir or approximate methods (e.g. coarse grain) as usually done.

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