A treatment of general relativistic effects in quantum interference

Kuroiwa, Jousuke; Kasai, Minobu; Futamase, Toshifumi

doi:10.1016/0375-9601(93)90403-m

Cited by 13 publications

(11 citation statements)

References 16 publications

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“…We assume that the external gravitational field of the earth is described by the braneworld model proposed recently in papers [11]. Slowly rotating gravitating object in braneworld in a spherical coordinate system is described by the metric .…”

Section: The Phase Shiftmentioning

confidence: 99%

“…for particles which have a mass m, in the paper [11] it was defined the wave function Φ of interfering particles as…”

Section: The Phase Shiftmentioning

confidence: 99%

“…Among them the effect due to the rotation of the Earth [8,9], which is the quantum mechanical analog of the Sagnac effect, and the Lense-Thirring effect [10] which is a general relativistic effect due to the dragging of the reference frames. So we do not consider the neutron spin in this paper In the paper [11] a unified way of study of the effects of phase shift in neutron interferometer due to the various phenomena was proposed. Here we extend this formalism to the case of the slowly rotating braneworld in order to derive such phase shift due to either existence or nonexistence of the tidal brane charge.…”

Section: Introductionmentioning

confidence: 99%

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Quantum Interference Effects in Spacetime of Slowly Rotating Compact Objects in Braneworld

2010

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The phase shift a neutron interferometer caused by the gravitational field and the rotation of the earth is derived in a unified way from the standpoint of general relativity. General relativistic quantum interference effects in the slowly rotating braneworld as the Sagnac effect and phase shift effect of interfering particle in neutron interferometer are considered. It was found that in the case of the Sagnac effect the influence of brane parameter is becoming important due to the fact that the angular velocity of the locally non rotating observer must be larger than one in the Kerr space-time. In the case of neutron interferometry it is found that due to the presence of the parameter Q * an additional term in the phase shift of interfering particle emerges from the results of the recent experiments we have obtained upper limit for the tidal charge as Q * 10 7 cm 2 . Finally, as an example, we apply the obtained results to the calculation of the (ultra-cold neutrons) energy level modification in the braneworld.

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Section: The Phase Shiftmentioning

confidence: 99%

“…for particles which have a mass m, in the paper [11] it was defined the wave function Φ of interfering particles as…”

Section: The Phase Shiftmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantum Interference Effects in Spacetime of Slowly Rotating Compact Objects in Braneworld

2010

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“…The directional dependence of the general relativistic phase shifts (e.g. [26,27]) is in principle distinct from that of CS gravity [15].…”

Section: Phase Shifts Induced By Cs Gravitymentioning

confidence: 99%

Possible latitude effects of Chern-Simons gravity on quantum interference

2013

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It has been recently suggested that, as a gravitational Aharonov-Bohm effect due to a gravitomagnetic potential, possible effects of Chern-Simons gravity on a quantum interferometer are dependent on the latitude and direction of the interferometer on Earth in orbital motion around Sun. Continuing work initiated in the earlier publication [Okawara, Yamada and Asada, Phys.Rev. Lett. 109, 231101 (2012)], we perform numerical calculations of time variation in the induced phase shifts for nonequatorial cases. We show that the maximum phase shift at any latitude might occur at 6, 0 (and 12), and 18 hours (in local time) of each day, when the normal vector to the interferometer is vertical, eastbound and northbound, respectively. If two identical interferometers were located at different latitudes, the difference between two phase shifts that are measured at the same local time would be O(sin δϕ) for a small latitude difference δϕ. It might thus become maximally ∼ 20 percents for δϕ ∼ 10 degrees, for instance.

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“…Moreover, the general relativistic effects of a slowly rotating object, known as the Lense-Thirring effects, cause a phase shift proportional to ω E · S (e.g. [20,21]), wherefore they depend only on the angle between the Earth's axis and the interferometer. Hence, the directional dependence of the general relativistic phase shifts is in principle distinct from that of CS gravity.…”

mentioning

confidence: 99%

Possible Daily and Seasonal Variations in Quantum Interference Induced by Chern-Simons Gravity

2012

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Possible effects of Chern-Simons (CS) gravity on a quantum interferometer turn out to be dependent on the latitude and direction of the interferometer on the Earth in orbital motion around the Sun. Daily and seasonal variations in phase shifts are predicted with an estimate of the size of the effects, wherefore neutron interferometry with ∼ 5 meters arm length and ∼ 10 −4 phase measurement accuracy would place a bound on a CS parameter comparable to Gravity Probe B satellite.

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A treatment of general relativistic effects in quantum interference

Cited by 13 publications

References 16 publications

Quantum Interference Effects in Spacetime of Slowly Rotating Compact Objects in Braneworld

Quantum Interference Effects in Spacetime of Slowly Rotating Compact Objects in Braneworld

Possible latitude effects of Chern-Simons gravity on quantum interference

Possible Daily and Seasonal Variations in Quantum Interference Induced by Chern-Simons Gravity

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