TY  - JOUR
AU  - Sanz, Angel S.
AU  - Davidović, Milena
AU  - Božić, Mirjana
PY  - 2015
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/703
AB  - Atomic three-grating Mach Zehnder interferometry constitutes an important tool to probe fundamental aspects the quantum theory. There is, however, a remarkable gap in the literature betweenthe oversimplified models and robust numerical simulations considered to describe the corresponding experiments. Consequently, the former usually lead to paradoxical scenarios, such as the wave-particle dual behavior of atoms, while the latter make difficult the data analysis in simple terms. Here these issues are tackled by means of a simple grating working model consisting of evenly-spaced Gaussian slits. As is shown, this model suffices to explore and explain such experiments both analytically and numerically, giving a good account of the full atomic journey inside the interferometer, and hence contributing to make less mystic the physics involved. More specifically, it provides a clear and unambiguous picture of the wavefront splitting that takes place inside the interferometer, illustrating how the momentum along each emerging diffraction order is well defined even though the wave function itself still displays a rather complex shape. To this end, the local transverse momentum is also introduced in this context as a reliable analytical tool. The splitting, apart from being a key issue to understand atomic Mach-Zehnder interferometry, also demonstrates at a fundamental level how wave and particle aspects are always present in the experiment, without incurring in any contradiction or interpretive paradox. On the other hand, at a practical level, the generality and versatility of the model and methodology presented, makes them suitable to attack analogous problems in a simple manner after a convenient tuning.
PB  - Academic Press Inc.
T2  - Annals of Physics
T1  - Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry
EP  - 221
SP  - 205
VL  - 353
DO  - 10.1016/j.aop.2014.11.012
ER  - 

@article{
author = "Sanz, Angel S. and Davidović, Milena and Božić, Mirjana",
year = "2015",
abstract = "Atomic three-grating Mach Zehnder interferometry constitutes an important tool to probe fundamental aspects the quantum theory. There is, however, a remarkable gap in the literature betweenthe oversimplified models and robust numerical simulations considered to describe the corresponding experiments. Consequently, the former usually lead to paradoxical scenarios, such as the wave-particle dual behavior of atoms, while the latter make difficult the data analysis in simple terms. Here these issues are tackled by means of a simple grating working model consisting of evenly-spaced Gaussian slits. As is shown, this model suffices to explore and explain such experiments both analytically and numerically, giving a good account of the full atomic journey inside the interferometer, and hence contributing to make less mystic the physics involved. More specifically, it provides a clear and unambiguous picture of the wavefront splitting that takes place inside the interferometer, illustrating how the momentum along each emerging diffraction order is well defined even though the wave function itself still displays a rather complex shape. To this end, the local transverse momentum is also introduced in this context as a reliable analytical tool. The splitting, apart from being a key issue to understand atomic Mach-Zehnder interferometry, also demonstrates at a fundamental level how wave and particle aspects are always present in the experiment, without incurring in any contradiction or interpretive paradox. On the other hand, at a practical level, the generality and versatility of the model and methodology presented, makes them suitable to attack analogous problems in a simple manner after a convenient tuning.",
publisher = "Academic Press Inc.",
journal = "Annals of Physics",
title = "Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry",
pages = "221-205",
volume = "353",
doi = "10.1016/j.aop.2014.11.012"
}

Sanz, A. S., Davidović, M.,& Božić, M.. (2015). Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry. in Annals of Physics
Academic Press Inc.., 353, 205-221.
https://doi.org/10.1016/j.aop.2014.11.012

Sanz AS, Davidović M, Božić M. Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry. in Annals of Physics. 2015;353:205-221.
doi:10.1016/j.aop.2014.11.012 .

Sanz, Angel S., Davidović, Milena, Božić, Mirjana, "Full quantum mechanical analysis of atomic three-grating Mach-Zehnder interferometry" in Annals of Physics, 353 (2015):205-221,
https://doi.org/10.1016/j.aop.2014.11.012 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Sanz, Angel S.
AU  - Božić, Mirjana
PY  - 2015
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/718
AB  - Bohmian mechanics, a hydrodynamic formulation of quantum mechanics, relies on the concept of trajectory, which evolves in time in compliance with dynamical information conveyed by the wave function. Here, this appealing idea is considered to analyze both classical and quantum interference, thus providing an alternative and more intuitive framework to understand the time evolution of waves either in terms of the flow of energy (for instance, for mechanical waves, sound waves, and electromagnetic waves) or analogously the flow of probability (quantum waves). Furthermore, this procedure also supplies a more robust explanation of interference phenomena, which currently is only based on the superposition principle. That is, while this principle only describes how different waves combine and what effects these combinations may lead to, flow lines provide a more precise explanation on how the energy or probability propagates in space before, during, and after the combination of such waves, without dealing with them separately (i.e., the combination or superposition is taken as a whole). In this sense, concepts such as constructive and destructive interference, typically associated with the superposition principle, physically correspond to more or less dense swarms of (energy or probability) flow lines. A direct consequence of this description is that, when considering the distribution of electromagnetic energy flow lines behind two slits, each one covered by a differently oriented polarizer, it is naturally found that external observers' information on the slit crossed by single photons (understood as energy parcels) is totally irrelevant for the existence of interference fringes, in striking contrast to what is commonly stated and taught.
PB  - Springer New York LLC
T2  - Journal of Russian Laser Research
T1  - Description of classical and quantum interference in view of the concept of flow line
EP  - 342
IS  - 4
SP  - 329
VL  - 36
DO  - 10.1007/s10946-015-9507-y
ER  - 

@article{
author = "Davidović, Milena and Sanz, Angel S. and Božić, Mirjana",
year = "2015",
abstract = "Bohmian mechanics, a hydrodynamic formulation of quantum mechanics, relies on the concept of trajectory, which evolves in time in compliance with dynamical information conveyed by the wave function. Here, this appealing idea is considered to analyze both classical and quantum interference, thus providing an alternative and more intuitive framework to understand the time evolution of waves either in terms of the flow of energy (for instance, for mechanical waves, sound waves, and electromagnetic waves) or analogously the flow of probability (quantum waves). Furthermore, this procedure also supplies a more robust explanation of interference phenomena, which currently is only based on the superposition principle. That is, while this principle only describes how different waves combine and what effects these combinations may lead to, flow lines provide a more precise explanation on how the energy or probability propagates in space before, during, and after the combination of such waves, without dealing with them separately (i.e., the combination or superposition is taken as a whole). In this sense, concepts such as constructive and destructive interference, typically associated with the superposition principle, physically correspond to more or less dense swarms of (energy or probability) flow lines. A direct consequence of this description is that, when considering the distribution of electromagnetic energy flow lines behind two slits, each one covered by a differently oriented polarizer, it is naturally found that external observers' information on the slit crossed by single photons (understood as energy parcels) is totally irrelevant for the existence of interference fringes, in striking contrast to what is commonly stated and taught.",
publisher = "Springer New York LLC",
journal = "Journal of Russian Laser Research",
title = "Description of classical and quantum interference in view of the concept of flow line",
pages = "342-329",
number = "4",
volume = "36",
doi = "10.1007/s10946-015-9507-y"
}

Davidović, M., Sanz, A. S.,& Božić, M.. (2015). Description of classical and quantum interference in view of the concept of flow line. in Journal of Russian Laser Research
Springer New York LLC., 36(4), 329-342.
https://doi.org/10.1007/s10946-015-9507-y

Davidović M, Sanz AS, Božić M. Description of classical and quantum interference in view of the concept of flow line. in Journal of Russian Laser Research. 2015;36(4):329-342.
doi:10.1007/s10946-015-9507-y .

Davidović, Milena, Sanz, Angel S., Božić, Mirjana, "Description of classical and quantum interference in view of the concept of flow line" in Journal of Russian Laser Research, 36, no. 4 (2015):329-342,
https://doi.org/10.1007/s10946-015-9507-y . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Sanz, Angel S.
AU  - Božić, Mirjana
AU  - Arsenović, Dušan
AU  - Dimić, Dragan
PY  - 2013
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/546
AB  - We present a trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot. This approach is based on the equation of the trajectory associated with the quantum probability current density in the case of massive particles, and the Poynting vector for the electromagnetic field in the case of photons. Both the form and properties of the evaluated photon trajectories are in good agreement with the averaged trajectories of single photons observed recently in Young's experiment by Steinberg's group at the University of Toronto. In the case of the Arago-Fresnel laws for polarized light, the trajectory interpretation presented here differs from interpretations based on the concept of 'which-way' (or 'which-slit') information and quantum erasure. More specifically, the observer's information about the slit that the photons went through is not relevant to the existence of interference; what is relevant is the form of the electromagnetic energy density and its evolution, which will model consequently the distribution of trajectories and their topology. Finally, we also show that the distributions of end points of a large number of evaluated photon trajectories are in agreement with the distributions measured at the screen behind a circular disc, clearly giving rise to the Poisson-Arago spot.
T2  - Physica Scripta
T1  - Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles
DO  - 10.1088/0031-8949/2013/T153/014015
ER  - 

@article{
author = "Davidović, Milena and Sanz, Angel S. and Božić, Mirjana and Arsenović, Dušan and Dimić, Dragan",
year = "2013",
abstract = "We present a trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot. This approach is based on the equation of the trajectory associated with the quantum probability current density in the case of massive particles, and the Poynting vector for the electromagnetic field in the case of photons. Both the form and properties of the evaluated photon trajectories are in good agreement with the averaged trajectories of single photons observed recently in Young's experiment by Steinberg's group at the University of Toronto. In the case of the Arago-Fresnel laws for polarized light, the trajectory interpretation presented here differs from interpretations based on the concept of 'which-way' (or 'which-slit') information and quantum erasure. More specifically, the observer's information about the slit that the photons went through is not relevant to the existence of interference; what is relevant is the form of the electromagnetic energy density and its evolution, which will model consequently the distribution of trajectories and their topology. Finally, we also show that the distributions of end points of a large number of evaluated photon trajectories are in agreement with the distributions measured at the screen behind a circular disc, clearly giving rise to the Poisson-Arago spot.",
journal = "Physica Scripta",
title = "Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles",
doi = "10.1088/0031-8949/2013/T153/014015"
}

Davidović, M., Sanz, A. S., Božić, M., Arsenović, D.,& Dimić, D.. (2013). Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles. in Physica Scripta.
https://doi.org/10.1088/0031-8949/2013/T153/014015

Davidović M, Sanz AS, Božić M, Arsenović D, Dimić D. Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles. in Physica Scripta. 2013;.
doi:10.1088/0031-8949/2013/T153/014015 .

Davidović, Milena, Sanz, Angel S., Božić, Mirjana, Arsenović, Dušan, Dimić, Dragan, "Trajectory-based interpretation of Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot for photons and massive particles" in Physica Scripta (2013),
https://doi.org/10.1088/0031-8949/2013/T153/014015 . .

TY  - JOUR
AU  - Davidović, Milena
AU  - Sanz, Angel S.
AU  - Božić, Mirjana
AU  - Arsenović, Dušan
PY  - 2012
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/469
AB  - The coherence effects induced by external photons coupled to matter waves inside a Mach-Zehnder three-grating interferometer are analyzed. Alternatively to atom-photon entanglement scenarios, the model considered here only relies on the atomic wavefunction and the momentum shift induced in it by the photon scattering events. A functional dependence is thus found between the observables, namely the fringe visibility and the phase shift, and the transversal momentum transfer distribution. Good quantitative agreement is found when comparing the results obtained from our model with the experimental data.
T2  - Journal of Physics A-Mathematical and Theoretical
T1  - Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis
IS  - 16
VL  - 45
DO  - 10.1088/1751-8113/45/16/165303
ER  - 

@article{
author = "Davidović, Milena and Sanz, Angel S. and Božić, Mirjana and Arsenović, Dušan",
year = "2012",
abstract = "The coherence effects induced by external photons coupled to matter waves inside a Mach-Zehnder three-grating interferometer are analyzed. Alternatively to atom-photon entanglement scenarios, the model considered here only relies on the atomic wavefunction and the momentum shift induced in it by the photon scattering events. A functional dependence is thus found between the observables, namely the fringe visibility and the phase shift, and the transversal momentum transfer distribution. Good quantitative agreement is found when comparing the results obtained from our model with the experimental data.",
journal = "Journal of Physics A-Mathematical and Theoretical",
title = "Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis",
number = "16",
volume = "45",
doi = "10.1088/1751-8113/45/16/165303"
}

Davidović, M., Sanz, A. S., Božić, M.,& Arsenović, D.. (2012). Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis. in Journal of Physics A-Mathematical and Theoretical, 45(16).
https://doi.org/10.1088/1751-8113/45/16/165303

Davidović M, Sanz AS, Božić M, Arsenović D. Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis. in Journal of Physics A-Mathematical and Theoretical. 2012;45(16).
doi:10.1088/1751-8113/45/16/165303 .

Davidović, Milena, Sanz, Angel S., Božić, Mirjana, Arsenović, Dušan, "Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis" in Journal of Physics A-Mathematical and Theoretical, 45, no. 16 (2012),
https://doi.org/10.1088/1751-8113/45/16/165303 . .