Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems

Nov 22, 2008
37 pages
Published in:
  • Rev.Mod.Phys. 81 (2009) 1665-1702
e-Print:

Citations per year

201020142018202220250204060
Abstract: (APS)
Fluctuation theorems (FTs), which describe some universal properties of nonequilibrium fluctuations, are examined from a quantum perspective and derived by introducing a two-point measurement on the system. FTs for closed and open systems driven out of equilibrium by an external time-dependent force, and for open systems maintained in a nonequilibrium steady state by nonequilibrium boundary conditions, are derived from a unified approach. Applications to fermion and boson transport in quantum junctions are discussed. Quantum master equations and Green’s functions techniques for computing the energy and particle statistics are presented.
Note:
  • Accepted in Rev. Mod. Phys. v2: Some references added and typos corrected
  • 05.60.Gg
  • 73.40.-c
  • 05.30.-d
      • Phys.Rev.D 71 066102
      • J.Chem.Phys. 121 6167
      • NOONE 2006 P01011
      • NOONE 2007 P02006
      • J.Statist.Phys. 127 107
      • Phys.Rev.Lett. 100 230404
      • Phys.Rev.Lett. 98 150601
      • New J.Phys. 11 043014
      • Adv.Chem.Phys. 33 235
      • Phys.Rev.D 67 085316
      • Ann.Rev.Phys.Chem. 55 457
      • Phys.Rev.Lett. 101 206803
      • Phys.Rev.Lett. 87 197006
      • Phys.Rev.Lett. 87 067006
      • Phys.Rept. 336 1
      • Zh.Eksp.Teor.Fiz. 72 238
      • Sov.Phys.JETP 45 125
      • Zh.Eksp.Teor.Fiz. 76 1071
      • Sov.Phys.JETP 49 543
      • NOONE 106 443
      • NOONE 106 480
      • Phys.Rev.Lett. 96 026805
      • Phys.Rev.D 70 012106
      • Phys.Rev.D 61 042107
      • Am.J.Phys. 70 719