Derivation of the statistics of quantum measurements from the action of unitary dynamics
學年 106
學期 2
出版（發表）日期 2018-03-23
作品名稱 Derivation of the statistics of quantum measurements from the action of unitary dynamics
作品名稱（其他語言）
著者 Keito Hibino; Kazuya Fujiwara; Jun-Yi Wu; Masataka Iinuma; Holger F. Hofmann
單位
出版者
著錄名稱、卷期、頁數 EPJP 133, 118
摘要 Quantum statistics is defined by Hilbert space products between the eigenstates associated with state preparation and measurement. The same Hilbert space products also describe the dynamics generated by a Hamiltonian when one of the states is an eigenstate of energy E and the other represents an observable B . In this paper, we investigate this relation between the observable time evolution of quantum systems and the coherence of Hilbert space products in detail. It is shown that the times of arrival for a specific value of B observed with states that have finite energy uncertainties can be used to derive the Hilbert space product between eigenstates of energy E and eigenstates of the dynamical variable B . Quantum phases and interference effects appear in the form of an action that relates energy to time in the experimentally observable dynamics of localized states. We illustrate the relation between quantum coherence and dynamics by applying our analysis to several examples from quantum optics, demonstrating the possibility of explaining non-classical statistics in terms of the energy-time relations that characterize the corresponding transformation dynamics of quantum systems.
關鍵字
語言 en_US
ISSN 2190-5444
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Holger F. Hofmann
審稿制度 否
國別 DEU
公開徵稿
出版型式 ,電子版
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/120599 )