The non-Markovian stochastic Schrödinger equation for the position unravelling

Journal of Optics B: Quantum and Semiclassical Optics

Volumn 6, Issue 8, 2004, Pages

  Gambetta, Jay ^a   Wiseman, H M ^a  

^a GRIFFITH UNIVERSITY   (Australia)

Author keywords

Bohmian mechanics; Non markovian; Stochastic Schr dinger equations

Indexed keywords

BOHMIAN MECHANICS; NOISE FUNCTION; NON-MARKOVIAN SYSTEMS;

DECOMPOSITION; HAMILTONIANS; MARKOV PROCESSES; PROBABILITY DENSITY FUNCTION; QUANTUM THEORY; RANDOM PROCESSES;

QUANTUM OPTICS;

EID: 4344609706     PISSN: 14644266     EISSN: None     Source Type: Journal    
DOI: 10.1088/1464-4266/6/8/031     Document Type: Conference Paper

References (21)

1. Carmichael H J 1993 An Open System Approach to Quantum Optics (Berlin: Springer)
2. Nakajima S 1958 On quantum theory of transport phenomena Prog. Theor. Phys. 20 948
3. Zwanzig R 1960 Ensemble method in the theory of irreversibility J. Chem. Phys. 33 1338
4. Diósi L, Gisin N and Strunz W T 1998 Non-Markovian quantum state diffusion Phys. Rev. A 58 1699
5. Strunz W T, Diósi L and Gisin N 1999 Open system dynamics with non-Markovian quantum trajectories Phys. Rev. Lett. 82 1801
6. Gambetta J and Wiseman H M 2002 Non-Markovian stochastic Schrödinger equations: generalization to real-valued noise using quantum measurement theory Phys. Rev. A 66 012108
7. Gambetta J and Wiseman H M 2002 A perturbative approach to non-Markovian stochastic Schrödinger equations Phys. Rev. A 66 052105
8. Budini A A 2000 Non-Markovian Gaussian dissipative stochastic wave vector Phys. Rev. A 63 012106
9. Bassi A and Ghirardi G C 2002 Dynamical reduction models with general Gaussian noises Phys. Rev. A 65 042114
10. Bassi A 2003 Stochastic Schrödinger equations with general complex Gaussian noises Phys. Rev. A 67 062101
11. Yu T, Diósi L, Gisin N and Strunz W T 1999 Non-Markovian quantum state diffusion: perturbation approach Phys. Rev. A 60 91
12. Peres A 1993 Quantum Theory: Concepts and Methods (Boston, MA: Kluwer-Academic)
13. de Broglie L 1930 An Introduction to the Study of Wave Mechanics (New York: E P Dutton and Company, Inc.)
14. Bohm D 1952 A suggested interpretation of the quantum theory in terms of hidden variables, I & II Phys. Rev. 85 166
15. Holland P R 1993 The Quantum Theory of Motion: an Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics (Cambridge: Cambridge University Press)
16. Gambetta J and Wiseman H M 2003 The interpretation of non-Markovian stochastic Schrödinger equations as a hidden variable theory Phys. Rev. A 68 062104
17. Gambetta J and Wiseman H M 2003 Modal dynamics for non-orthogonal decompositions Found, Phys. 34 419
18. Braginsky V B and Khalili F Y 1992 Quantum Measurement (Cambridge: Cambridge University Press)
19. Goetsch P and Graham R 1994 Linear stochastic wave equations for continuously measured quantum systems Phys. Rev. A 50 5242
20. Wiseman H M 1996 Quantum trajectories and quantum measurement theory Quantum Semiclass. Opt. 8 205
21. Gatarek D and Gisin N 1991 Continuous quantum jumps and infinite-dimensional stochastic equations J. Math. Phys. 32 2152