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A Stochastic Path Integral Formulation for Continuous Quantum Measurement

Areeya Chantasri, Justin Dressel, Andrew N. Jordan

Bulletin of the American Physical SocietyMar 19, 20130 citations

Continuous quantum measurements: Restricted path integrals and master equations

Michael B. Mensky

Physics Letters ADec 1, 199439 citations

Continuous quantum measurements: Restricted path integrals and master equations (Physics Letters A 196 (1994) 159)

Michael B. Mensky

Physics Letters AMar 1, 19950 citations

Statistical and optimal behaviours of weak continuous quantum measurement using stochastic path integral formalism

Areeya Chantasri, Andrew N. Jordan

Bulletin of the American Physical SocietyMar 18, 20160 citations

Continuous Quantum Measurements and Path Integrals

Michael B. Mensky

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.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.

CRC Press eBooksOct 19, 201768 citations

Some New Developments in the Theory of Path Integrals, with Applications to Quantum Theory

Sergio A Albeverio, Sonia Mazzucchi

Journal of Statistical PhysicsMar 17, 200411 citations

The difficulties in the mathematical definition of path integrals are overcome in the theory of continuous quantum measurements

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The difficulties in the mathematical definition of path integrals are overcome in the theory of continuous quantum measurements

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