A time-work uncertainty relation in quantum systems

2016/08/02 by Liu, Fei
#FOS: Physical sciences #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.1608.00912

Abstract

In quantum systems, a plausible definition of work is based on two energy measurement scheme. Considering that energy change of quantum system obeys a time-energy uncertainty relation, it shall be interesting to see whether such type of work as well obeys an analogous uncertainty relation. In this note I argue that this relation indeed exists for closed quantum systems and open quantum systems, which the latter are assumed to be weakly coupled with their environments.

Related

• The Time–Energy Uncertainty Relation
• Time-Energy Uncertainty Relation for a Quantum Clock as a Control Device
• Comment on Energy-Time Uncertainty Relations in Quantum Measurements
• Energy-time and frequency-time uncertainty relations: exact inequalities
• The time-energy certainty relation