On the quantum analogue of Galileo's leaning tower experiment

Ali, Md. Manirul; Majumdar, A. S.; Home, Dipankar; Pan, A. K.

doi:10.1088/0264-9381/23/22/024

Cited by 24 publications

(24 citation statements)

References 42 publications

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“…However, let us also notice that the variance of the position is not a function of the ratio m grav /m in only, see in particular Refs. [146][147][148]. After this short reminder, let us consider a bound system of two particles interacting through a potential V 84 which only depends on the distance between them.…”

Section: Schrödinger Equation In An Accelerated Framementioning

confidence: 99%

Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)

Martin¹

2012

Comptes Rendus. Physique

719

866

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This article aims at discussing the cosmological constant problem at a pedagogical but fully technical level. We review how the vacuum energy can be regularized in flat and curved spacetime and how it can be understood in terms of Feynman bubble diagrams. In particular, we show that the properly renormalized value of the zero-point energy density today (for a free theory) is in fact far from being 122 orders of magnitude larger than the critical energy density, as often quoted in the literature. We mainly consider the case of scalar fields but also treat the cases of fermions and gauge bosons which allows us to discuss the question of vacuum energy in supersymmetry. Then, we discuss how the cosmological constant can be measured in cosmology and constrained with experiments such as measurements of planet orbits in our solar system or atomic spectra. We also review why the Lamb shift and the Casimir effect seem to indicate that the quantum zero-point fluctuations are not an artifact of the quantum field theory formalism. We investigate how experiments on the universality of free fall can constrain the gravitational properties of vacuum energy and we discuss the status of the weak equivalence principle in quantum mechanics, in particular the Collela, Overhausser and Werner experiment and the quantum Galileo experiment performed with a Salecker-Wigner-Peres clock. Finally, we briefly conclude with a discussion on the solutions to the cosmological constant problem that have been proposed so far.

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Section: Schrödinger Equation In An Accelerated Framementioning

confidence: 99%

Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)

Martin¹

2012

Comptes Rendus. Physique

719

866

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“…The idea is that within NRQM s is just an extra coordinate (possibly an intrinsic one) and that it must be seen just as a mathematical artifice of working in the non-relativistic regime. 3 Therefore, if one wants to handle states with unsharp values of mass in NRQM, one can do so. However, the price to pay is to work with an extra coordinate.…”

Section: Mass Operator: Galileo Group Extensionmentioning

confidence: 99%

“…∂ s = ∂ s ′ . 3 The main objective of the present work is to develop the formalism required to handle, within NRQM, superpositions of states with different masses. Elucidation of important interpretational issues will be, for the time being, postponed.…”

Section: Mass Operator: Galileo Group Extensionmentioning

confidence: 99%

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Quantum equivalence principle without mass superselection

Hernández-Coronado

Okon

2013

Physics Letters A

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The standard argument for the validity of Einstein's equivalence principle in a non-relativistic quantum context involves the application of a mass superselection rule. It is surprising that the consistency between such an important principle and quantum mechanics depends crucially on the imposition of a non-fundamental restriction. The objective of this work is show that, contrary to what the standard account holds, the compatibility between the principle of equivalence and quantum mechanics does not depend on the introduction of such a superselection rule. For this purpose, we consider the extended Galileo group, in which mass is treated as an operator, and show that within this scheme superpositions of different masses behave as they should in order to obey the equivalence principle

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“…So, the need for a quantum analysis of TOF distribution is not merely a conceptual but a practical issue, asking how to predict the TOF distribution using only classical and semiclassical ingredients in a purely quantum scenario like this (interference in the TOF distribution for quantum particles). Now, in spite of the emphasis of quantum theory on the observable concept, there is no commonly accepted recipe to incorporate time observables and their probability distributions in the quantum formalism, and there is considerable difficulty and debate over the issue of defining time (for example, tunneling time, decay time, arrival time) as an observable [12,13,14,15,16,17,18,19,20,21,22,23,24,25]. Even for the simplest case of arrival time problem there is no unique way to calculate the probability distribution in the quantum formalism [17].…”

Section: Introductionmentioning

confidence: 99%

Quantum interference in the time-of-flight distribution

Ali¹,

Goan²

2009

J. Phys. A: Math. Theor.

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Abstract. We propose a scheme to experimentally observe matter-wave interference in the time domain, specifically in the arrival-time or the time-of-flight (TOF) distribution for atomic BEC Schrödinger-cat state represented by superposition of macroscopically separated wave packets in space. This is in contrast to interference in space at a fixed time observed in reported BEC experiments. We predict and quantify the quantum interference in the TOF distribution calculated from the modulus of the quantum probability current density (rather than the TOF distributions obtained from a purely classical or semi-classical treatment in many reported experiments). The interference and hence the coherence in the quantum TOF signal disappears in the large-mass limit. Our scheme has the potential to probe the validity of various other theoretical approaches (Phys. Rep. 338, 353 (2000)) of calculating the quantum arrival time distribution. PACS number(s): 03.65. Xp, 03.65.Ta

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On the quantum analogue of Galileo's leaning tower experiment

Cited by 24 publications

References 42 publications

Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)

Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)

Quantum equivalence principle without mass superselection

Quantum interference in the time-of-flight distribution

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