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From Quantum Probabilities to Classical Facts

Ph. Blanchard, Arkadiusz Jadczyk

Model interactions between classical and quantum systems are briefly reviewed. These include: general measurement - like couplings, Stern-Gerlach experiment, model of a counter, quantum Zeno effect, piecewise deterministic Markov processes and meaning of the wave function.

arXiv:hep-th/9311090Nov 16, 19938 citations

Some Mathematical Problems Related to Classical-Quantum Interactions

Robert Olkiewicz

A mathematical model describing the interaction between classical and quantum systems is proposed. The discrete case of a counter as well as the continuous case of the SQUID-tank model are discussed.

Reviews in Mathematical PhysicsAug 1, 199711 citations

The AC Stark, Stern-Gerlach, and Quantum Zeno Effects in Interferometric Qubit Readout

John A. Sidles

This article describes the AC Stark, Stern-Gerlach, and Quantum Zeno effects as they are manifested during continuous interferometric measurement of a two-state quantum system (qubit). A simple yet realistic model of the interferometric measurement process is presented, and solved to all orders of perturbation theory in the absence of thermal noise. The statistical properties of the interferometric Stern-Gerlach effect are described in terms of a Fokker-Plank equation, and a closed-form expression for the Green's function of this equation is obtained. Thermal noise is added in the form of a externally-applied Langevin force, and the combined effects of thermal noise and measurement are considered. Optical Bloch equations are obtained which describe the AC Stark and Quantum Zeno effects. Spontaneous qubit transitions are shown to be observationally equivalent to transitions induced by external Langevin forces. The effects of delayed choice are discussed. Practical experiments involving trapped ions are suggested. The results are relevant to the design of qubit readout systems in quantum computing, and to single-spin detection in magnetic resonance force microscopy.This article describes the AC Stark, Stern-Gerlach, and Quantum Zeno effects as they are manifested during continuous interferometric measurement of a two-state quantum system (qubit). A simple yet realistic model of the interferometric measurement process is presented, and solved to all orders of perturbation theory in the absence of thermal noise. The statistical properties of the interferometric Stern-Gerlach effect are described in terms of a Fokker-Plank equation, and a closed-form expression for the Green's function of this equation is obtained. Thermal noise is added in the form of a externally-applied Langevin force, and the combined effects of thermal noise and measurement are considered. Optical Bloch equations are obtained which describe the AC Stark and Quantum Zeno effects. Spontaneous qubit transitions are shown to be observationally equivalent to transitions induced by external Langevin forces. The effects of delayed choice are discussed. Practical experiments involving trapped ions are suggested. The results are relevant to the design of qubit readout systems in quantum computing, and to single-spin detection in magnetic resonance force microscopy.

arXiv:quant-ph/9612001Nov 29, 19961 citation

Quantum physical systems as classical systems

Antonio Cassa

A physical system showing a classical (deterministic) behavior to an observer can appear to be a quantum system to another observer unable to distinguish between some distinct states.

arXiv:quant-ph/0111070Journal of Mathematical PhysicsNov 1, 20013 citations

Eddy currents in the Stern–Gerlach experiment

Sue Sulcs, Barry C. Gilbert

We calculate the effects of Larmor precession in the two-state SternGerlach experiment performed with silver atoms. We compare the time constants and Q factors for an oscillating magnetic-dipole moment in free space and in close proximity to an iron magnet. Numerical modelling suggests that the original SternGerlach experiment was too dissipative to have eliminated classical explanations. A recent experiment, also admitting a classical interpretation, is discussed briefly. A new experiment is proposed that should be able to confirm quantum mechanics unequivocally. PACS Nos.: 03.65Bz, 41.20Gz, 32.10DkWe calculate the effects of Larmor precession in the two-state SternGerlach experiment performed with silver atoms. We compare the time constants and Q factors for an oscillating magnetic-dipole moment in free space and in close proximity to an iron magnet. Numerical modelling suggests that the original SternGerlach experiment was too dissipative to have eliminated classical explanations. A recent experiment, also admitting a classical interpretation, is discussed briefly. A new experiment is proposed that should be able to confirm quantum mechanics unequivocally. PACS Nos.: 03.65Bz, 41.20Gz, 32.10Dk

Canadian Journal of PhysicsOct 1, 20022 citations

Strongly coupled quantum and classical systems and Zeno's effect

Ph. Blanchard, Arkadiusz Jadczyk

arXiv:hep-th/9309112Physics Letters ADec 1, 199354 citations

Classical and Quantum Intertwine

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Classical and Quantum Intertwine

Abstract

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