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Paper Abstract and Keywords
Presentation 2017-11-17 14:15
Temperature Gradient in Non-equilibrium steady state of 1D Quantum Spin Chain
Shigeo Hakkaku, Yu Watanabe, Hisao Hayakawa (YITP)
Abstract (in Japanese) (See Japanese page) 
(in English) For investigating the microscopic description of non-equilibrium steady states (NESSs), it is important to examine the properties of the NESSs by using concrete models. We discuss temperature gradients in an open and non-uniform spin--1/2 XXZ chain contacting with 2 reservoirs at different temperatures. The non-uniformness is introduced by the random $xx$--coupling given by the Gaussian distribution. The density operator evolves in time according to the Lindblad type quantum master equation. We numerically obtain the NESSs and discuss their temperature profiles. We statistically analyze the relation between the fluctuation of the $xx$--coupling and 1) the temperature difference of the spins in the boundary, 2) the smoothness of the temperature profile. We clarify that there exist crossovers from flat to smooth temperature profile, and from smooth to jumped profile.
Keyword (in Japanese) (See Japanese page) 
(in English) non-equilibrium steady states / the Lindblad equation / 1D quantum spin chain / quantum open system / / / /  
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Conference Information
Committee QIT  
Conference Date 2017-11-16 - 2017-11-17 
Place (in Japanese) (See Japanese page) 
Place (in English) Saitama University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2017-11-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Temperature Gradient in Non-equilibrium steady state of 1D Quantum Spin Chain 
Sub Title (in English)  
Keyword(1) non-equilibrium steady states  
Keyword(2) the Lindblad equation  
Keyword(3) 1D quantum spin chain  
Keyword(4) quantum open system  
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1st Author's Name Shigeo Hakkaku  
1st Author's Affiliation Yukawa Institute of Theoretical Physics (YITP)
2nd Author's Name Yu Watanabe  
2nd Author's Affiliation Yukawa Institute of Theoretical Physics (YITP)
3rd Author's Name Hisao Hayakawa  
3rd Author's Affiliation Yukawa Institute of Theoretical Physics (YITP)
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Speaker Author-1 
Date Time 2017-11-17 14:15:00 
Presentation Time 25 minutes 
Registration for QIT 
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