IEICE Technical Committee Submission System
Conference Paper's Information
Online Proceedings
[Sign in]
Tech. Rep. Archives
 Go Top Page Go Previous   [Japanese] / [English] 

Paper Abstract and Keywords
Presentation 2016-11-24 10:50
[Invited Talk] Thermodynamic entropy as a Noether invariant
Yuki Yokokura (RIKEN)
Abstract (in Japanese) (See Japanese page) 
(in English) We first study a classical many-particle system with an external control represented by a time-dependent extensive parameter in a Lagrangian. We show that thermodynamic entropy of the system is uniquely characterized as the Noether invariant associated with a symmetry for an infinitesimal non-uniform time translation, where trajectories in the phase space are restricted to those consistent with quasi-static processes in thermodynamics. Then, a universal constant of the action dimension appears, although there is no such a constant in the classical mechanics. Furthermore, we discuss thermally isolated quantum many-body systems with time dependent external operation. From unitary time evolution of quantum pure states, we derive an effective action for trajectories in the thermodynamic state space. In the action, the entropy appears with its conjugate variable, and a symmetry emerges leading to the entropy as a Noether invariant. This can be understood as the origin of the symmetry found in the classical mechanics.
Keyword (in Japanese) (See Japanese page) 
(in English) Thermodynamics / Entropy / Symmetry / / / / /  
Reference Info. IEICE Tech. Rep.
Paper #  
Date of Issue  
ISSN  
Download PDF

Conference Information
Committee QIT  
Conference Date 2016-11-24 - 2016-11-25 
Place (in Japanese) (See Japanese page) 
Place (in English) KEK Kobayashi-hall 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2016-11-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Thermodynamic entropy as a Noether invariant 
Sub Title (in English)  
Keyword(1) Thermodynamics  
Keyword(2) Entropy  
Keyword(3) Symmetry  
Keyword(4)  
Keyword(5)  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Yuki Yokokura  
1st Author's Affiliation RIKEN (RIKEN)
2nd Author's Name  
2nd Author's Affiliation ()
3rd Author's Name  
3rd Author's Affiliation ()
4th Author's Name  
4th Author's Affiliation ()
5th Author's Name  
5th Author's Affiliation ()
6th Author's Name  
6th Author's Affiliation ()
7th Author's Name  
7th Author's Affiliation ()
8th Author's Name  
8th Author's Affiliation ()
9th Author's Name  
9th Author's Affiliation ()
10th Author's Name  
10th Author's Affiliation ()
11th Author's Name  
11th Author's Affiliation ()
12th Author's Name  
12th Author's Affiliation ()
13th Author's Name  
13th Author's Affiliation ()
14th Author's Name  
14th Author's Affiliation ()
15th Author's Name  
15th Author's Affiliation ()
16th Author's Name  
16th Author's Affiliation ()
17th Author's Name  
17th Author's Affiliation ()
18th Author's Name  
18th Author's Affiliation ()
19th Author's Name  
19th Author's Affiliation ()
20th Author's Name  
20th Author's Affiliation ()
Speaker Author-1 
Date Time 2016-11-24 10:50:00 
Presentation Time 50 minutes 
Registration for QIT 
Paper #  
Volume (vol) vol. 
Number (no)  
Page  
#Pages  
Date of Issue  


[Return to Top Page]

[Return to IEICE Web Page]


The Institute of Electronics, Information and Communication Engineers (IEICE), Japan