Maps for Lorentz transformations of spin

被引:24
作者
Jordan, TF [1 ]
Shaji, A
Sudarshan, ECG
机构
[1] Univ Minnesota, Dept Phys, Duluth, MN 55812 USA
[2] Univ Texas, Ctr Stat Mech, Austin, TX 78712 USA
来源
PHYSICAL REVIEW A | 2006年 / 73卷 / 03期
关键词
D O I
10.1103/PhysRevA.73.032104
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Lorentz transformations of spin density matrices for a particle with positive mass and spin 1/2 are described by maps of the kind used in open quantum dynamics. They show how the Lorentz transformations of the spin depend on the momentum. Since the spin and momentum generally are not independent, the maps generally are not completely positive and act in limited domains. States with two momentum values are considered, so the maps are for the spin qubit correlated with the qubit made from the two momentum values, and results from the open quantum dynamics of two coupled qubits can be applied. Inverses are used to show that every Lorentz transformation completely removes the spin polarization, and so completely removes the information, from a number of spin density matrices. The size of the spin polarization that is removed is calculated for particular cases.
引用
收藏
页码:1 / 6
页数:6
相关论文
共 27 条
[1]   Relativistic entanglement and Bell's inequality [J].
Ahn, D ;
Lee, HJ ;
Moon, YH ;
Hwang, SW .
PHYSICAL REVIEW A, 2003, 67 (01) :8
[2]  
Alicki R., 2007, Volume 717 of Lecture Notes in Physics, V717
[3]  
Alsing PM, 2002, QUANTUM INFORM COMPU, V2, P487
[4]   Teleportation with a uniformly accelerated partner [J].
Alsing, PM ;
Milburn, GJ .
PHYSICAL REVIEW LETTERS, 2003, 91 (18) :180404-180404
[5]   Relativistically invariant quantum information [J].
Bartlett, SD ;
Terno, DR .
PHYSICAL REVIEW A, 2005, 71 (01)
[6]  
Breuer H.-P., 2002, THEORY OPEN QUANTUM
[7]  
Czachor M, 1997, PHYS REV A, V55, P72, DOI 10.1103/PhysRevA.55.72
[8]  
Davies E.B., 1976, Quantum Theory of Open Systems
[9]   Quantum entanglement of moving bodies [J].
Gingrich, RM ;
Adami, C .
PHYSICAL REVIEW LETTERS, 2002, 89 (27) :2704021-2704024
[10]   Special relativity and reduced spin density matrices [J].
Gonera, C ;
Kosinski, P ;
Maslanka, P .
PHYSICAL REVIEW A, 2004, 70 (03) :034102-1