What dynamics can be expected for mixed states in two-slit experiments?

Luis, Alfredo; Sanz, Ángel S.

doi:10.1016/j.aop.2015.03.030

Cited by 18 publications

(20 citation statements)

References 37 publications

(69 reference statements)

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“…Therefore, it must be P3 that fails to hold in that interpretation. Indeed, it is known in the context of doubleslit interference that the Bohmian guidance equation is nonlinear in the density operator 37,38 . It would be interesting for future work to calculate p(f 1 , f 2 ) for this experiment within a Bohmian description.…”

Section: Discussionmentioning

confidence: 99%

A no-go theorem for the persistent reality of Wigner’s friend’s perception

et al. 2021

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The notorious Wigner’s friend thought experiment (and modifications thereof) has received renewed interest especially due to new arguments that force us to question some of the fundamental assumptions of quantum theory. In this paper, we formulate a no-go theorem for the persistent reality of Wigner’s friend’s perception, which allows us to conclude that the perceptions that the friend has of her own measurement outcomes at different times cannot “share the same reality”, if seemingly natural quantum mechanical assumptions are met. More formally, this means that, in a Wigner’s friend scenario, there is no joint probability distribution for the friend’s perceived measurement outcomes at two different times, that depends linearly on the initial state of the measured system and whose marginals reproduce the predictions of unitary quantum theory. This theorem entails that one must either (1) propose a nonlinear modification of the Born rule for two-time predictions, (2) sometimes prohibit the use of present information to predict the future—thereby reducing the predictive power of quantum theory—or (3) deny that unitary quantum mechanics makes valid single-time predictions for all observers. We briefly discuss which of the theorem’s assumptions are more likely to be dropped within various popular interpretations of quantum mechanics.

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Section: Discussionmentioning

confidence: 99%

A no-go theorem for the persistent reality of Wigner’s friend’s perception

et al. 2021

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“…Accordingly, because there is no energy dissipation, there will not be spatial localization either, which means that the trajectories will not remain within the region covered by the input state. On the contrary, they will distribute according (27) and satisfying the so-called non-crossing rule, i.e., trajectories cannot cross one another, because nonlocal spatial information still remains [52,53].…”

Section: Decoherence-induced Dynamics a Effective Modeling Of Decoher...mentioning

confidence: 99%

“…As it is shown, this leads to a bare addition of level populations, which in the energy representation manifest as a collapse of the density matrix to its diagonal, while in the position representation the probability density asymptotically approaches a non-homogeneous, delocalized density distribution along the cavity. Furthermore, in order to provide a clearer picture of the decoherence dynamics, i.e., the transition from a highly organized interferencemediated structure to a stationary (equilibrium) state due to decoherence, the generation of the quantum carpet has also been monitored with the aid of Bohmian trajectories, which have already been used to explore analogous effects in the context of the two-slit experiment [51][52][53].…”

Section: Introductionmentioning

confidence: 99%

Decoherence in quantum cavities: Environmental erasure of carpet-type structures

Honrubia,

Sanz

2021

Preprint

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The interaction with an environment provokes decoherence in quantum systems, which gradually suppresses their capability to display interference traits. Hence carpet-type patterns formed in quantum cavities constitute ideal systems to study the robustness of the underlying interference process against the harmful effects of decoherence. This fact is here numerically investigated by means of a simple dynamical model that captures the essential features of the phenomenon under Markovian conditions, thus leaving aside extra complications associated with a more detailed dynamical description of the system-environment interaction. More specifically, this model takes into account and reproduces the fact that decoherence effects are stronger as energy levels become more separated (in energy), which translates into a progressive collapse of the energy density matrix to its main diagonal. However, because energy dissipation is not considered, an analogous behavior is not observed in the position representation, where a proper spatial localization of the probability density does not take place, as one might expected, but a rather delocalized distribution. Furthermore, it is also shown that in this representation some off-diagonal correlations still persist, which requires the consideration of an additional spatial-type factor. This makes evident the rather complex nature of the decoherence phenomenon and hence the importance to have a good acquaintance with how it manifests in different representations with the purpose to determine and design reliable control mechanisms.I.

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“…Those trajectories whose starting points are near the upper slit (z > 0) cannot go to the region below some point with z = 0 on the screen and vice-versa. Thus there is a kind of fictitious barrier between the two regions, so that the two families of trajectories appear to repel each other [10,26,27,28,29,30]. Conversely, by knowing the point at which the particle reaches the screen, one can identify the slit through which it has emanated.…”

Section: Interference In Dbb Quantum Mechanicsmentioning

confidence: 99%

Interfering Quantum Trajectories Without Which-Way Information

Mathew¹,

John²

2017

Found Phys

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Quantum trajectory-based descriptions of interference between two coherent stationary waves in a double-slit experiment are presented, as given by the de Broglie-Bohm (dBB) and modified de Broglie-Bohm (MdBB) formulations of quantum mechanics. In the dBB trajectory representation, interference between two spreading wave packets can be shown also as resulting from motion of particles. But a trajectory explanation for interference between stationary states is so far not available in this scheme. We show that both the dBB and MdBB trajectories are capable of producing the interference pattern for stationary as well as wave packet states. However, the dBB representation is found to provide the 'which-way' information that helps to identify the hole through which the particle emanates. On the other hand, the MdBB representation does not provide any which-way information while giving a satisfactory explanation of interference phenomenon in tune with the de Broglie's wave particle duality. By counting the trajectories reaching the screen, we have numerically evaluated the intensity distribution of the fringes and found very good agreement with the standard results.

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What dynamics can be expected for mixed states in two-slit experiments?

Cited by 18 publications

References 37 publications

A no-go theorem for the persistent reality of Wigner’s friend’s perception

A no-go theorem for the persistent reality of Wigner’s friend’s perception

Decoherence in quantum cavities: Environmental erasure of carpet-type structures

Interfering Quantum Trajectories Without Which-Way Information

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