Interference of Clocks: A Quantum Twin Paradox

• URL: http://arxiv.org/abs/1905.09102v2
• Date: Fri, 23 Jun 2023 15:04:02 GMT
• Title: Interference of Clocks: A Quantum Twin Paradox
• Authors: Sina Loriani, Alexander Friedrich, Christian Ufrecht, Fabio Di Pumpo, Stephan Kleinert, Sven Abend, Naceur Gaaloul, Christian Meiners, Christian Schubert, Dorothee Tell, \'Etienne Wodey, Magdalena Zych, Wolfgang Ertmer, Albert Roura, Dennis Schlippert, Wolfgang P. Schleich, Ernst M. Rasel, Enno Giese
• Abstract summary: Phase of matter waves depends on proper time and is susceptible to special-relativistic (kinematic) and gravitational (redshift) time dilation. It is conceivable that atom interferometers measure general-relativistic time-dilation effects. We show that closed light-pulse interferometers without clock transitions during the pulse sequence are not sensitive to gravitational time dilation in a linear potential.
• Score: 39.645665748998816
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: The phase of matter waves depends on proper time and is therefore susceptible to special-relativistic (kinematic) and gravitational (redshift) time dilation. Hence, it is conceivable that atom interferometers measure general-relativistic time-dilation effects. In contrast to this intuition, we show: (i.) Closed light-pulse interferometers without clock transitions during the pulse sequence are not sensitive to gravitational time dilation in a linear potential. (ii.) They can constitute a quantum version of the special-relativistic twin paradox. (iii.) Our proposed experimental geometry for a quantum-clock interferometer isolates this effect.

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