Scattering theory of adiabatic reaction forces due to out-of-equilibrium quantum environments

Physical Review B - Condensed Matter and Materials Physics

Volumn 86, Issue 19, 2012, Pages

  Thomas, Mark ^a   Karzig, Torsten ^a   Kusminskiy, Silvia Viola ^a   Zaránd, Gergely ^a,b   Von Oppen, Felix ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

^b BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84870158835     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.86.195419     Document Type: Article

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54. Note that here, the fast quantum system is open since it is a scattering system coupled to reservoirs. This should be contrasted with the case of an open quantum system involving coupling to a (thermal) bath, usually taken to be an infinite set of harmonic oscillators (Ref.). Geometric magnetism in the latter context has recently been considered in Ref..
55. In Eq., an overall phase may in principle also appear on the RHS. However this phase does not influence our final results since its time evolution is taken into account through the adiabatic expansion.
56. - which are given in Ref. are ill defined, giving rise to divergences when applied to simple, analytically solvable scatterers involving, e.g., δ -function potentials.
57. Here we set the reference time to change from the Schrödinger to Heisenberg picture as t.