物理
量子操作
厄米矩阵
量子
量子过程
时间演化
量子系统
量子极限
开放量子系统
量子力学
量子算法
单一制国家
量子动力学
量子态
经典极限
哈密顿量(控制论)
数学
政治学
数学优化
法学
作者
Dimpi Thakuria,Abhay Srivastav,Brij Mohan,Asmita Kumari,Arun Kumar Pati
标识
DOI:10.1088/1751-8121/ad15ad
摘要
Abstract The quantum speed limit describes how quickly a quantum system can evolve in time from an initial state to a final state under a given dynamics. Here, we derive a generalised quantum speed limit (GQSL) for arbitrary time-continuous evolution using the geometrical approach of quantum mechanics. The GQSL is applicable for quantum systems undergoing unitary, non-unitary, completely positive, non-completely positive and relativistic quantum dynamics. This reduces to the well known standard quantum speed limit (QSL), i.e. the Mandelstam-Tamm bound when the quantum system undergoes unitary time evolution. Using our formalism, we then obtain a quantum speed limit for non-Hermitian quantum systems. To illustrate our findings, we have estimated the quantum speed limit for a time-independent non-Hermitian system as well as for a time-dependent non-Hermitian system namely the Bethe-Lamb Hamiltonian for general two-level system.
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