Eduardo Martin-Martinez

Prof. Eduardo Martin-Martinez

Department of Applied Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada

Research Focus & Metrics

Academic Career Length

15Years (2012-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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24 September 2015 in Physical Review D
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APAlejandro Pozas-Kerstjens
Alejandro Pozas-Kerstjens
Eduardo Martin-MartinezEduardo Martin-Martinez
Eduardo Martin-Martinez
We analyze the harvesting of entanglement and classical correlations from the quantum vacuum to particle detectors. We assess the impact on the detectors’ harvesting ability of the spacetime dimensionality, the suddenness of the detectors’ switching, their physical size and their internal energy structure. Our study reveals several interesting dependences on these parameters that can be used to optimize the harvesting of classical and quantum correlations. Furthermore, we find that, contrary to previous belief, smooth switching is much more efficient than sudden switching in order to harvest vacuum entanglement, especially when the detectors remain spacelike separated. Additionally, we show that the reported phenomenology of spacelike entanglement harvesting is not altered by subleading-order perturbative corrections.

18 February 2020 in Physical Review D
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Eduardo Martin-MartinezEduardo Martin-Martinez
Eduardo Martin-Martinez
TPT. Rick Perche
T. Rick Perche
BTBruno de S. L. Torres
Bruno de S. L. Torres
We propose a fully covariant model for smeared particle detectors in quantum field theory in curved spacetimes. We show how effects related to accelerated motion of the detector and the curvature of spacetime influence the way different observers assign an interaction Hamiltonian between the detector and the field. The fully covariant formulation explicitly leaves the physical predictions of the theory invariant under general coordinate transformations, hence providing a description of particle detector models (e.g., Unruh-DeWitt detectors, models for the light-matter interaction, etc.) that is suitable for arbitrary trajectories in general spacetime backgrounds.

6 January 2021 in Physical Review A
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RLRichard Lopp
Richard Lopp
Eduardo Martin-MartinezEduardo Martin-Martinez
Eduardo Martin-Martinez
We revisit the interaction of a first-quantized atomic system (consisting of two charged quantum particles) with the quantum electromagnetic field, pointing out the subtleties related to the gauge nature of electromagnetism and the effect of multipole approximations. We connect the full minimal-coupling model with the typical effective models used in quantum optics and relativistic quantum information such as the Unruh-DeWitt (UDW) model and the dipole coupling approximation. We point out in what regimes different degrees of approximation are reasonable and in what cases effective models need to be refined to capture the features of the light-matter interaction. This is particularly important when considering the center of mass (COM) of the atom as a quantum system that can be delocalized over multiple trajectories. For example, we show that the simplest UDW approximation with a quantum COM fails to capture crucial Röntgen terms coupling COM and internal atomic degrees of freedom with each other and the field. Finally we show how effective dipole interaction models can be covariantly prescribed for relativistically moving atoms.

2 March 2022 in Physical Review D
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JPJosé Polo-Gómez
José Polo-Gómez
LGLuis J. Garay
Luis J. Garay
Eduardo Martin-MartinezEduardo Martin-Martinez
Eduardo Martin-Martinez
We propose a measurement theory for quantum fields based on measurements made with localized nonrelativistic systems that couple covariantly to quantum fields (like the Unruh-DeWitt detector). Concretely, we analyze the positive operator-valued measure induced on the field when an idealized measurement is carried out on the detector after it coupled to the field. Using an information-theoretic approach, we provide a relativistic analogue to the quantum-mechanical Lüders update rule to update the field state following the measurement on the detector. We argue that this proposal has all the desirable characteristics of a proper measurement theory. In particular it does not suffer from the “impossible measurements” problem pointed out by Rafael Sorkin in the 1990s which shows that idealized measurements cannot be used in quantum field theory.

21 October 2014 in Classical and Quantum Gravity
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Eduardo Martin-MartinezEduardo Martin-Martinez
Eduardo Martin-Martinez
NMNicolas C Menicucci
Nicolas C Menicucci

29 May 2018 in Physical Review D
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Eduardo Martin-MartinezEduardo Martin-Martinez
Eduardo Martin-Martinez
PRPablo Rodriguez-Lopez
Pablo Rodriguez-Lopez
In this article we discuss the invariance under general changes of reference frame of all the physical predictions of particle detector models in quantum field theory in general and, in particular, of those used in quantum optics to model atoms interacting with light. We find explicitly how the light-matter interaction Hamiltonians change under general coordinate transformations, and analyze the subtleties of the Hamiltonians commonly used to describe the light-matter interaction when relativistic motion is taken into account.