Abstract
From the experimentalist’ spoint of view, it is natural to think of aphase measurement as a measurement that involves a reference time. As a part of the system, the reference time generating “clock” must be taken into account in the quantum treatment of the measuring process. This could be argued to be the reason why there does not exist any observable corresponding to the absolute phase in the unrestricted Hilbert space.Luis and Sánchez-Soto [Phys. Rev. A 48, 4702 (1993)] have investigated the case where the “clock” is another harmonic oscillator and defined a Hermitian phase-difference operator, which is valid in the infinite Hilbert space.
In the present work we propose and experimentally demonstrate a setup for direct measurement of the phase-difference. We derive the phase-difference distributions for some two-mode states and compare them with the experimental results.
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© 2002 Kluwer Academic Publishers
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Söderholm, J., Trifonov, A., Tsegaye, T., Björk, G. (2002). Quantized Phase-Difference. In: Kumar, P., D’Ariano, G.M., Hirota, O. (eds) Quantum Communication, Computing, and Measurement 2. Springer, Boston, MA. https://doi.org/10.1007/0-306-47097-7_29
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DOI: https://doi.org/10.1007/0-306-47097-7_29
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-46307-5
Online ISBN: 978-0-306-47097-4
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