Geometric phase in open quantum system as a function of its history
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 e...
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| Veröffentlicht in: | Quantum Studies : Mathematics and Foundations 2019-06, Vol.6 (2), p.217-224 |
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| container_title | Quantum Studies : Mathematics and Foundations |
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| creator | Yakovleva, T. S. Rostom, A. M. Tomilin, V. A. Il’ichov, L. V. |
| description | 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. |
| doi_str_mv | 10.1007/s40509-018-00179-x |
| format | Article |
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| subjects | History and Philosophical Foundations of Physics Interferometers Mach-Zehnder interferometers Mathematical and Computational Physics Mathematical Physics Mathematics Mathematics and Statistics Quantum Physics Quantum theory Qubits (quantum computing) Regular Paper Theoretical |
| title | Geometric phase in open quantum system as a function of its history |
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