Quantum measurement in charge representation

被引:25
作者
Rammer, J [1 ]
Shelankov, AL
Wabnig, J
机构
[1] Umea Univ, Dept Phys, SE-90187 Umea, Sweden
[2] AF Ioffe Phys Tech Inst, St Petersburg 19021, Russia
来源
PHYSICAL REVIEW B | 2004年 / 70卷 / 11期
关键词
D O I
10.1103/PhysRevB.70.115327
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Counting statistics of charge transfers in a point contact interacting with an arbitrary quantum system is studied. The theory for the charge specific density matrix is developed, allowing the evaluation of the probability of the outcome of any joint measurement of the state of the quantum system and the transferred charge. Applying the method of charge projectors, the master equation for the charge specific density matrix is derived in the tunneling Hamiltonian model of the point contact. As an example, the theory is applied to a quantum measurement of a two-state system: The evolution of the charge specific density matrix in the presence of Nyquist or Schottky noise is studied and the conditions for the realization of a projective measurement are established.
引用
收藏
页码:115327 / 1
页数:14
相关论文
共 27 条
[1]   Dephasing in electron interference by a 'which-path' detector [J].
Buks, E ;
Schuster, R ;
Heiblum, M ;
Mahalu, D ;
Umansky, V .
NATURE, 1998, 391 (6670) :871-874
[2]   Tunneling measurement of quantum spin oscillations [J].
Bulaevskii, LN ;
Hruska, M ;
Ortiz, G .
PHYSICAL REVIEW B, 2003, 68 (12)
[3]   Differential charge sensing and charge delocalization in a tunable double quantum dot [J].
DiCarlo, L ;
Lynch, HJ ;
Johnson, AC ;
Childress, LI ;
Crockett, K ;
Marcus, CM ;
Hanson, MP ;
Gossard, AC .
PHYSICAL REVIEW LETTERS, 2004, 92 (22) :226801-1
[4]   Coherent dynamics of a Josephson charge qubit [J].
Duty, T ;
Gunnarsson, D ;
Bladh, K ;
Delsing, P .
PHYSICAL REVIEW B, 2004, 69 (14) :140503-1
[5]   Few-electron quantum dot circuit with integrated charge read out [J].
Elzerman, JM ;
Hanson, R ;
Greidanus, JS ;
van Beveren, LHW ;
De Franceschi, S ;
Vandersypen, LMK ;
Tarucha, S ;
Kouwenhoven, LP .
PHYSICAL REVIEW B, 2003, 67 (16)
[6]   Allowed and forbidden transitions in artificial hydrogen and helium atoms [J].
Fujisawa, T ;
Austing, DG ;
Tokura, Y ;
Hirayama, Y ;
Tarucha, S .
NATURE, 2002, 419 (6904) :278-281
[7]   Dynamics of a mesoscopic charge quantum bit under continuous quantum measurement [J].
Goan, HS ;
Milburn, GJ .
PHYSICAL REVIEW B, 2001, 64 (23)
[8]   Continuous quantum measurement of two coupled quantum dots using a point contact: A quantum trajectory approach [J].
Goan, HS ;
Milburn, GJ ;
Wiseman, HM ;
Sun, HB .
PHYSICAL REVIEW B, 2001, 63 (12)
[9]   Measurements with a noninvasive detector and dephasing mechanism [J].
Gurvitz, SA .
PHYSICAL REVIEW B, 1997, 56 (23) :15215-15223
[10]   Coherent manipulation of electronic states in a double quantum dot [J].
Hayashi, T ;
Fujisawa, T ;
Cheong, HD ;
Jeong, YH ;
Hirayama, Y .
PHYSICAL REVIEW LETTERS, 2003, 91 (22)