Classical signal viewpoint to bunching and anti-bunching

The similarity between classical wave mechanics and quan- tum mechanics (QM) played an important role in the devel- opment of QM (starting with works of De Broglie, Schrodinger, "late Einstein", Lamb, Lande, Mandel, Marshall, Santos, Boyer, and many others). We present a new wave-type ap- proach, so called prequantum classical statistical field theory (PCSFT). PCSFT explores an analogy between some quan- tum phenomena and classical theory of random fields. Quan- tum systems are interpreted as symbolic representations of such fields (not only for photons, cf. Lande and Lamb, but even for massive particles). All quantum averages and cor- relations (including composite systems in entangled states) can be represented as averages and correlations for classical random fields. In this paper PCSFT is used to provide a clas- sical signal representation of bunching and anti-bunching. At least the latter is typically considered as essentially quantum (nonclassical) phenomenon.

[1]  Timothy H. Boyer,et al.  A Brief Survey of Stochastic Electrodynamics , 1980 .

[2]  Simulation of quantum dynamics via classical collective behavior , 2006, quant-ph/0602155.

[3]  Andrei Khrennikov,et al.  Contextual Approach to Quantum Formalism , 2009 .

[4]  H. Elze Does quantum mechanics tell an atomistic spacetime , 2009, 0906.1101.

[5]  Igor Volovich,et al.  QUANTUM CRYPTOGRAPHY IN SPACE AND BELL'S THEOREM , 2001 .

[6]  L. Mandel,et al.  Optical Coherence and Quantum Optics , 1995 .

[7]  Photon Antibunching, Sub-Poisson Statistics and Cauchy-Bunyakovsky and Bell's Inequalities , 2011, 1106.1892.

[8]  A. Einstein,et al.  The Evolution of Physics: The Growth of Ideas from the Early Concepts to Relativity and Quanta , 1938 .

[9]  Masanori Ohya,et al.  Classical signal model for quantum channels , 2010, 1008.3772.

[10]  A quantum-classical bracket from p-mechanics , 2005, quant-ph/0506122.

[11]  Amplitude quanta in multiparticle-system simulation , 2006 .

[12]  J. Neumann Mathematical Foundations of Quantum Mechanics , 1955 .

[13]  M. Ohya,et al.  Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems , 2011 .

[14]  H. Elze Is there a relativistic nonlinear generalization of quantum mechanics? , 2007, 0704.2559.

[15]  Arkady Plotnitsky,et al.  Epistemology and Probability: Bohr, Heisenberg, Schrödinger, and the Nature of Quantum-Theoretical Thinking , 2009 .

[16]  Gerard 't Hooft,et al.  On the free-will postulate in Quantum Mechanics , 2007 .

[17]  W. Louisell Quantum Statistical Properties of Radiation , 1973 .

[18]  Gerard 't Hooft Quantum Mechanics and Determinism , 2001 .

[19]  C. Ross Found , 1869, The Dental register.

[20]  Mark Davidson Stochastic Models of Quantum Mechanics — A Perspective , 2006, quant-ph/0610046.

[21]  Edward Nelson,et al.  Quantum Fluctuations (Princeton Series in Physics) , 1985 .

[22]  Dynamical diffusion as the approximation of one quantum particle dynamics , 2007, quant-ph/0702237.