Geometric phase in open quantum system as a function of its history
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A general expression for geometric phase in open quantum system is derived in the framework of a previously established operational approach. The system state gains geometric phase during propagation along a chain of Mach–Zehnder interferometers accompanied by acts of information exchange with the environment. Each act represents interaction with an environment element prepared in a standard state and subsequent measurement of its observable. The geometric phase appears to be a function of the system’s history, i.e. of a sequence of measurements outcomes. Numerical calculations of the geometric phase are made for a qubit-like quantum system and that of the environment and controlled phase shift as interaction.
KeywordsGeometric phase Open quantum systems Mach–Zehnder interferometer
The research was financially supported by the state order (Project AAAA-A17-117052210003-4, the internal FASO Number 0319-2016-0002) at the Institute of Automation and Electrometry SB RAS.