Monte Carlo wavefunctions in quantum optics

In this paper we present a review of the Monte Carlo wavefunction method. We discuss some aspects of its application in numerical simulations, and we comment on some of its relations to the foundations of quantum physics. Finally, we investigate the generalization to problems that have so far not been considered tractable by this method - in particular, nonlinear master equations may become relevant, and we discuss the application of Monte Carlo wavefunctions to such problems.

[1]  C. Fuchs.  Distinguishability and Accessible Information in Quantum Theory , 1996, quant-ph/9601020.

[2]  Castin,et al.  Monte Carlo wave-function analysis of 3D optical molasses. , 1995, Physical review letters.

[3]  K. Mølmer,et al.  Maxwell-Bloch equations: A unified view of nonlinear optics and nonlinear atom optics. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[4]  H. Wallis.  Quantum theory of atomic motion in laser light , 1995 .

[5]  E. V. Goldstein,et al.  Influence of the dipole-dipole interaction on velocity-selective coherent population trapping , 1995 .

[6]  Gisin,et al.  Decoherent histories and quantum state diffusion. , 1995, Physical review letters.

[7]  Graham,et al.  Schrödinger cat states and single runs for the damped harmonic oscillator. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[8]  Imamoglu.  Stochastic wave-function approach to non-Markovian systems. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[9]  C. Gardiner,et al.  Driving Atoms with Light of Arbitrary Statistics , 1994 .

[10]  Carmichael,et al.  Photon-statistics dependence of single-atom absorption. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[11]  Lenz,et al.  Nonlinear atom optics: General formalism and atomic solitons. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[12]  Cold collisions in a laser field: Quantum Monte Carlo treatment of radiative heating. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[13]  L. Diósi,et al.  Stochastic Evolution of Quantum States in Open Systems and in Measurement Processes: Proceedings of the Workshop , 1994 .

[14]  Holland,et al.  Quantal treatment of cold collisions in a laser field. , 1994, Physical review letters.

[15]  Wiseman,et al.  Quantum theory of continuous feedback. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[16]  Bouchaud,et al.  Subrecoil laser cooling and Lévy flights. , 1994, Physical review letters.

[17]  Walls,et al.  Atomic soliton in a traveling wave laser beam. , 1994, Physical review letters.

[18]  L. Diósi,et al.  Stochastic evolution of quantum states in open systems and in measurement processes : Budapest, Hungary, March 23-25, 1993 , 1994 .

[19]  H. Metcalf.  Cooling and trapping of neutral atoms , 1994 .

[20]  Lenz,et al.  Nonlinear atom optics , 1993, Physical review letters.

[21]  P. Zoller,et al.  Quantum wave function simulation of the resonance fluorescence spectrum from one-dimensional optical molasses. , 1993, Physical review letters.

[22]  Gardiner,et al.  Driving a quantum system with the output field from another driven quantum system. , 1993, Physical review letters.

[23]  Carmichael,et al.  Quantum trajectory theory for cascaded open systems. , 1993, Physical review letters.

[24]  Klaus Mølmer,et al.  A Monte Carlo wave function method in quantum optics , 1993, Optical Society of America Annual Meeting.

[25]  Milburn,et al.  Interpretation of quantum jump and diffusion processes illustrated on the Bloch sphere. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[26]  Poul S. Jessen,et al.  The Temperature of Optical Molasses for Two Different Atomic Angular Momenta , 1993 .

[27]  Zoller,et al.  Resonance fluorescence from quantized one-dimensional molasses. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[28]  P. Zoller,et al.  Wavefunction calculation of the fluorescence spectrum of 1-D optical molasses , 1993 .

[29]  N. Gisin,et al.  The quantum-state diffusion model applied to open systems , 1992 .

[30]  Gardiner,et al.  Monte Carlo simulation of master equations in quantum optics for vacuum, thermal, and squeezed reservoirs. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[31]  Gardiner,et al.  Wave-function quantum stochastic differential equations and quantum-jump simulation methods. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[32]  N. Gisin,et al.  Wave-function approach to dissipative processes: are there quantum jumps? , 1992 .

[33]  Zoller,et al.  Monte Carlo simulation of the atomic master equation for spontaneous emission. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[34]  K. Mølmer,et al.  Wave-function approach to dissipative processes in quantum optics. , 1992, Physical review letters.

[35]  V. Belavkin,et al.  Nondemolition observation of a free quantum particle. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[36]  C. Cohen-Tannoudji,et al.  Propriétés statistiques de la suite de sauts quantiques associée à des processus dissipatifs , 1992 .

[37]  C. Cohen-Tannoudji,et al.  Modèle simple d'amplification sans inversion de population. Etude par la méthode des sauts quantiques , 1992 .

[38]  W. Zurek.  The Environment, Decoherence and the Transition from Quantum to Classical , 1991 .

[39]  V. Belavkin,et al.  Measurements continuous in time and a posteriori states in quantum mechanics , 1991, Journal of Physics A: Mathematical and General.

[40]  A. Clairon,et al.  Laser Cooling of Cesium Atoms Below 3 μK , 1990 .

[41]  Nicolas Gisin,et al.  Weinberg's non-linear quantum mechanics and supraluminal communications , 1990 .

[42]  N. Gisin.  Stochastic quantum dynamics and relativity , 1989 .

[43]  Weber,et al.  Disentanglement of quantum wave functions: Answer to "Comment on 'Unified dynamics for microscopic and macroscopic systems' " , 1987, Physical review. D, Particles and fields.

[44]  Yields of US and Soviet Nuclear Tests , 1987 .

[45]  Weber,et al.  Unified dynamics for microscopic and macroscopic systems. , 1986, Physical review. D, Particles and fields.

[46]  N. Gisin.  Quantum measurements and stochastic processes , 1984 .

[47]  C. Gardiner.  Handbook of Stochastic Methods , 1983 .

[48]  G. Roger,et al.  Experimental Test of Bell's Inequalities Using Time- Varying Analyzers , 1982 .

[49]  P. Grangier,et al.  Experimental Realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment : A New Violation of Bell's Inequalities , 1982 .

[50]  P. Zoller,et al.  Erratum: Non-Lorentzian laser line shapes and the reversed peak asymmetry in double optical resonance , 1980 .

[51]  G. Lindblad.  On the generators of quantum dynamical semigroups , 1976 .