Heat transport through lattices of quantum harmonic oscillators in arbitrary dimensions

被引:86
作者
Asadian, A. [1 ,2 ]
Manzano, D. [1 ,3 ,4 ]
Tiersch, M. [1 ,3 ]
Briegel, H. J. [1 ,3 ]
机构
[1] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria
[2] Vienna Univ Technol, Atominst, A-1020 Vienna, Austria
[3] Austrian Acad Sci, Inst Quantum Opt & Quantum Informat, A-6020 Innsbruck, Austria
[4] Univ Granada, Inst Carlos Fis Teor & Computat 1, Granada, Spain
来源
PHYSICAL REVIEW E | 2013年 / 87卷 / 01期
基金
奥地利科学基金会;
关键词
ENTANGLEMENT; CONDUCTION;
D O I
10.1103/PhysRevE.87.012109
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
In d-dimensional lattices of coupled quantum harmonic oscillators, we analyze the heat current caused by two thermal baths of different temperatures, which are coupled to opposite ends of the lattice, with a focus on the validity of Fourier's law of heat conduction. We provide analytical solutions of the heat current through the quantum system in the nonequilibrium steady state using the rotating-wave approximation and bath interactions described by a master equation of Lindblad form. The influence of local dephasing in the transition of ballistic to diffusive transport is investigated. DOI: 10.1103/PhysRevE.87.012109
引用
收藏
页数:8
相关论文
共 30 条
[1]   DENSITY-MATRIX ELEMENTS AND MOMENTS FOR GENERALIZED GAUSSIAN STATE FIELDS [J].
ADAM, G .
JOURNAL OF MODERN OPTICS, 1995, 42 (06) :1311-1328
[2]   Nonequilibrium density-matrix description of steady-state quantum transport [J].
Dhar, Abhishek ;
Saito, Keiji ;
Haenggi, Peter .
PHYSICAL REVIEW E, 2012, 85 (01)
[3]   Fourier's law: Insight from a simple derivation [J].
Dubi, Y. ;
Di Ventra, M. .
PHYSICAL REVIEW E, 2009, 79 (04)
[4]   Distribution of entanglement in light-harvesting complexes and their quantum efficiency [J].
Fassioli, Francesca ;
Olaya-Castro, Alexandra .
NEW JOURNAL OF PHYSICS, 2010, 12
[5]  
Fourier JBJ, 1822, Theorie analytique de la chaleur, V504
[6]   Energy cost and optimal entanglement production in harmonic chains [J].
Galve, Fernando ;
Lutz, Eric .
PHYSICAL REVIEW A, 2009, 79 (03)
[7]   Quantum mechanical heat transport in disordered harmonic chains [J].
Gaul, Christopher ;
Buettner, Helmut .
PHYSICAL REVIEW E, 2007, 76 (01)
[8]   Quantum superpositions in photosynthetic light harvesting: delocalization and entanglement [J].
Ishizaki, Akihito ;
Fleming, Graham R. .
NEW JOURNAL OF PHYSICS, 2010, 12
[9]   Heat conduction in a two-dimensional harmonic crystal with disorder [J].
Lee, LW ;
Dhar, A .
PHYSICAL REVIEW LETTERS, 2005, 95 (09)
[10]   Heat flow through an insulating nanocrystal [J].
Leitner, DM ;
Wolynes, PG .
PHYSICAL REVIEW E, 2000, 61 (03) :2902-2908