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Interference of Clocks: A Quantum Twin Paradox

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arxiv 1905.09102 v2 pith:5CNZQEX6 submitted 2019-05-22 quant-ph gr-qcphysics.atom-ph

Interference of Clocks: A Quantum Twin Paradox

classification quant-ph gr-qcphysics.atom-ph
keywords timedilationgravitationalinterferometersparadoxquantumspecial-relativistictwin
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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