Weak Measurement Approach to Some Quantum Mechanics Problems

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Eskandari Enalooje, Mohammad | 2021

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 54520 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Bahrampour, Alireza; Gholshani, Mahdi
Abstract:
In recent years, weak measurement has been attracted attention in fundamental and applied physics. Instantaneous Measuring of noncommutative quantities, direct measurement of the quantum wave function, observation of Bohmian trajectories of photons, etc are among the issues that have been studied at the fundamental level by weak measurements. The idea has also been successful at the practical level, amplifying weak signals in the optical interferometers such as gravitational wave interferometer and increasing the sensitivity of the atomic magnetometer. In this thesis, after understanding the concept of time in the deterministic evolution (Schrodinger equation) and the measurement process, we intend to examine the two-state vectors formalism in quantum and weak measurement. Then, using weak measurement, we examine a number of fundamental problems in the quantum, including measuring the Bohmian trajectories of photons in a two-slit interferometer, observing the inherent nonlocality of photons Bohmian trajectories, and so on
Keywords:
Bohmian Mechanics ; Bohmian Quantum Mechanics ; Two-State Vectors Formalism ; Weak Measurement ; Quantum Mechanics ; Quantum Nonlocality