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29 March 2024
 
  » arxiv » quant-ph/0301005

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Quantum dissipation induced noncommutative geometry
S. Sivasubramanian ; Y.N. Srivastava G. Vitiello A. Widom ;
Date 3 Dec 2002
Journal Phys.Lett. A311 (2003) 97
Subject quant-ph
AffiliationPhysics Department, Northeastern University, Boston, MA USA), Y.N. Srivastava (Dipartimento di Fisica & INFN, Universitá di Perugia, Perugia, Italia) G. Vitiello (Dipartimento di Fisica "E.R.Caianiello" & INFN, Universitá di Sal
AbstractThe quantum statistical dynamics of a position coordinate x coupled to a reservoir requires theoretically two copies of the position coordinate within the reduced density matrix description. One coordinate moves forward in time while the other coordinate moves backward in time. It is shown that quantum dissipation induces, in the plane of the forward and backward motions, a noncommutative geometry. The noncommutative geometric plane is a consequence of a quantum dissipation induced phase interference which is closely analogous to the Aharanov-Bohm effect.
Source arXiv, quant-ph/0301005
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