Learning, Information Theory, and Nonequilibrium Statistical Mechanics

 
 

Berkeley workgroup on

       Learning, Information Theory, & Nonequilibrium

       Thermodynamics

 

Coordinates

EMAIL  lineq (at) lists.berkeley.edu

LOCATION  560 Evans Halls, UC Berkeley

TIme  3:30 PM every other Friday (kinda)

WEB https://calmail.berkeley.edu/manage/list/listinfo/lineq@lists.berkeley.edu

Sebastian Deffner (LANL): Quantum work and the informational cost of projective measurements

15 April 2016

Quantum work is usually determined from two projective measurements of the energy at the beginning and at the end of a thermodynamic process. However, this paradigm cannot be considered thermodynamically consistent as it does not account for the thermodynamic cost of these measurements. To remedy this conceptual inconsistency we introduce a novel paradigm that relies only on the expected change of the average energy given the initial energy eigenbasis. In particular, we completely omit quantum measurements in the definition of quantum work, and hence quantum work is identified as a thermodynamic quantity of only the system. As main results we derive a modified quantum Jarzynski equality and a sharpened maximum work theorem in terms of the information free energy. Comparison of our results with the standard approach allows to quantify the informational cost of projective measurements.

Reference: http://arxiv.org/abs/1603.06509