Abstract
Full counting statistics (FCS) is one of the most attracting and intellectually invloved concepts in quantum transport. It provides much information about charge transfer (all possible moments, including average current, noise, etc.) in a compact and elegant form. Albeit the study of full counting statistics has begun with some confusion. The first attempt to derive FCS [1] exploited the text-book definion of quantum measurement: the probability of the outcome q of a measurement is given by being an operator associated with the value measured and the quantum state. However, the choice Q made in [1] resulted in severe interpretation problems. In [2] the authors revised their approach. The new method, that is commonly accepted now, invokes an extra degree of freedom, a detector. The quantum measurement paradigm is applied to the detector degree of freedom.
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References
L. S. Levitov and G. B. Lesovik, JETP Lett. 55, 555 (1992).
L. S. Levitov and G. B. Lesovik, JETP Lett. 58, 230 (1993); L. S. Levitov, H. W. Lee, and G. B. Lesovik, Journ. Math. Phys. 37, 4845 (1996).
J. Rammer and H. Smith, Rev. Mod. Phys. 58, 323 (1986).
R.P. Feynman and F.L. Vernon, Ann. Phys.(N.Y) 24, 118 (1963).
Yu. V. Nazarov, Ann. Phys. (Leipzig) 8 Spec. Issue SI-193, 507 (1999).
W. Belzig and Yu. V. Nazarov, Phys. Rev. Lett. 87, 197006 (2001).
A. Shelankov, J. Rammer, cond-mat/0207343 (2002).
Yu. V. Nazarov and M. Kindermann, cond-mat/0107133 (2001).
M. Kindermann, Yu.V. Nazarov, and C.W.J. Beenakker, cond-mat/0210617 (2002).
A.O. Caldeira and A.J. Leggett, Phys. Rev. Lett. 46, 211 (1981).
G. Schön and A.D. Zaikin, Phys. Rep. 198,237 (1990).
L. Kaplan, N. T. Maitra and E. J. Heller, Phys. Rev. A 56, 2592 (1997).
G.-L. Ingold and Yu. V. Nazarov, in Single Charge Tunneling, edited by H. Grabert and M. H. Devoret, NATO ASI Series B294 (Plenum, New York, 1992).
C. W. J. Beenakker, Rev. Mod. Phys. 69,731 (1997).
Ya. M. Blanter and M. Büttiker, Phys. Rep. 336,1 (2000). The effect of a series resistance on the noise power is discussed in S 2.5.
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Kindermann, M., Nazarov, Y.V. (2003). Full Counting Statistics in Electric Circuits. In: Nazarov, Y.V. (eds) Quantum Noise in Mesoscopic Physics. NATO Science Series, vol 97. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0089-5_20
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DOI: https://doi.org/10.1007/978-94-010-0089-5_20
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