Continuous Quantum Measurements and Path Integrals

Continuous Quantum Measurements and Path Integrals examines continuous quantum measurements using Feynman path integrals. The path integral theory is developed to provide formulae for concrete physical effects. The main conclusion drawn from the theory is that an uncertainty principle exists for processes, in addition to the familiar one for states. This implies that a continuous measurement has an optimal accuracy-a balance between inefficient error and large quantum fluctuations (quantum noise). A well-known expert in the field, the author concentrates on the physical and conceptual side of the subject rather than the mathematical.

Advances in technology are taking the accuracy of macroscopic as well as microscopic measurements close to the quantum limit, for example, in the attempts to detect gravitational waves. Interest in continuous quantum measurements has therefore grown considerably in recent years. Continuous Quantum Measurements and Path Integrals examines these measurements using Feynman path integrals. The path integral theory is developed to provide formulae for concrete physical effects. The main conclusion drawn from the theory is that an uncertainty principle exists for processes, in addition to the familiar one for states. This implies that a continuous measurement has an optimal accuracy-a balance between inefficient error and large quantum fluctuations (quantum noise). A well-known expert in the field, the author concentrates on the physical and conceptual side of the subject rather than the mathematical.

Autorentext

Mensky, M.B

Inhalt
Introduction to Continuous Quantum Measurements. Instantaneous and Sequential Measurements. Technique of Path Integrals. Continuous Measurement and Evolution of the Measured System. Continuous Measurements of Oscillators. Continuous Quantum Nondemolition Measurements. Measurement of an Electromagnetic Field. Time in Quantum Cosmology. The Action Uncertainty Principle. Group-Theoretical Structure of Quantum Continuous Measurements. Paths and Measurements: Further Development. References.