Bruno Bellomo et al 2007 J. Phys. A: Math. Theor. 40 9437 doi:10.1088/1751-8113/40/31/019
Bruno Bellomo1, Stephen M Barnett2 and John Jeffers2
Show affiliationsThe dynamics associated with a measurement-based master equation for quantum Brownian motion are investigated. A scheme for obtaining time evolution from general initial conditions is derived. This is applied to analyse dissipation and decoherence in the evolution of both a Gaussian and a Schrödinger cat initial state. Dependence on the diffusive terms present in the master equation is discussed with reference to both the coordinate and momentum representations.
03.65.Yz Decoherence; open systems; quantum statistical methods
Issue 31 (3 August 2007)
Received 26 April 2007, in final form 19 June 2007
Published 19 July 2007
Bruno Bellomo et al 2007 J. Phys. A: Math. Theor. 40 9437
Johnathon R Walls et al 2007 Phys. Med. Biol. 52 2775
Abhay Ashtekar and Jerzy Lewandowski 2004 Class. Quantum Grav. 21 R53
Kenneth Intriligator and Nathan Seiberg 2007 Class. Quantum Grav. 24 S741
Tomáš Liko and Louis H Kauffman 2006 Class. Quantum Grav. 23 R63
S Morrison et al 2008 New J. Phys. 10 073032
Lorenzo Iorio 2002 Class. Quantum Grav. 19 L175
Thomas L Curtright and Cosmas K Zachos 2002 New J. Phys. 4 83
Helmut Friedrich 2003 Class. Quantum Grav. 20 101
Bozhidar Z Iliev 2001 J. Phys. A: Math. Gen. 34 4919