Indistinguishable Particle

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Ugo Marzolino - One of the best experts on this subject based on the ideXlab platform.

  • Entanglement in Indistinguishable Particle systems
    Physics Reports, 2020
    Co-Authors: Fabio Benatti, Roberto Floreanini, Fabio Franchini, Ugo Marzolino
    Abstract:

    Abstract For systems consisting of distinguishable Particles, there exists an agreed upon notion of entanglement which is fundamentally based on the possibility of addressing individually each one of the constituent parties. Instead, the indistinguishability of identical Particles hinders their individual addressability and has prompted diverse, sometimes discordant definitions of entanglement. In the present review, we provide a comparative analysis of the relevant existing approaches, which is based on the characterization of bipartite entanglement in terms of the behaviour of correlation functions. Such a a point of view provides a fairly general setting where to discuss the presence of non-local effects; it is performed in the light of the following general consistency criteria: (i) entanglement corresponds to non-local correlations and cannot be generated by local operations; (ii) when, by “freezing” suitable degrees of freedom, identical Particles can be effectively distinguished, their entanglement must reduce to the one that holds for distinguishable Particles; (iii) in absence of other quantum resources, only entanglement can outperform classical information protocols. These three requests provide a setting that allows to evaluate strengths and weaknesses of the existing approaches to Indistinguishable Particle entanglement and to contribute to the current understanding of such a crucial issue. Indeed, they can be classified into five different classes: four hinging on the notion of Particle and one based on that of physical modes. We show that only the latter approach is consistent with all three criteria, each of the others indeed violating at least one of them.

Fabio Benatti - One of the best experts on this subject based on the ideXlab platform.

  • Entanglement in Indistinguishable Particle systems
    Physics Reports, 2020
    Co-Authors: Fabio Benatti, Roberto Floreanini, Fabio Franchini, Ugo Marzolino
    Abstract:

    Abstract For systems consisting of distinguishable Particles, there exists an agreed upon notion of entanglement which is fundamentally based on the possibility of addressing individually each one of the constituent parties. Instead, the indistinguishability of identical Particles hinders their individual addressability and has prompted diverse, sometimes discordant definitions of entanglement. In the present review, we provide a comparative analysis of the relevant existing approaches, which is based on the characterization of bipartite entanglement in terms of the behaviour of correlation functions. Such a a point of view provides a fairly general setting where to discuss the presence of non-local effects; it is performed in the light of the following general consistency criteria: (i) entanglement corresponds to non-local correlations and cannot be generated by local operations; (ii) when, by “freezing” suitable degrees of freedom, identical Particles can be effectively distinguished, their entanglement must reduce to the one that holds for distinguishable Particles; (iii) in absence of other quantum resources, only entanglement can outperform classical information protocols. These three requests provide a setting that allows to evaluate strengths and weaknesses of the existing approaches to Indistinguishable Particle entanglement and to contribute to the current understanding of such a crucial issue. Indeed, they can be classified into five different classes: four hinging on the notion of Particle and one based on that of physical modes. We show that only the latter approach is consistent with all three criteria, each of the others indeed violating at least one of them.

Andrea Bertoni - One of the best experts on this subject based on the ideXlab platform.

  • Simulation of decoherence in 1D systems, a comparison between distinguishable‐ and IndistinguishableParticle collisions
    physica status solidi (c), 2008
    Co-Authors: Fabrizio Buscemi, Paolo Bordone, Andrea Bertoni
    Abstract:

    We give a quantitative evaluation of the entanglement dynamics in scattering events between two electron interacting via Coulomb potential in ID systems, We apply a method, specifically designed for Indistinguishable Particles, based on the calculation of the von Neumann entropy of the system density matrix. From the timedependent numerical solution of the two-Particle wave-function we evaluate the entanglement evolution for different spin configurations. The procedure allows to understand the mechanisms that govern entanglement cre-ation and its connection with the characteristic physical parameters and initial conditions of the system. The 1D physical system consisting of two parallel quantum wires where two electrons run in opposite directions: d is the distance between the wires.

  • simulation of decoherence in 1d systems a comparison between distinguishable and Indistinguishable Particle collisions
    Physica Status Solidi (c), 2008
    Co-Authors: Fabrizio Buscemi, Paolo Bordone, Andrea Bertoni
    Abstract:

    We give a quantitative evaluation of the entanglement dynamics in scattering events between two electron interacting via Coulomb potential in ID systems, We apply a method, specifically designed for Indistinguishable Particles, based on the calculation of the von Neumann entropy of the system density matrix. From the timedependent numerical solution of the two-Particle wave-function we evaluate the entanglement evolution for different spin configurations. The procedure allows to understand the mechanisms that govern entanglement cre-ation and its connection with the characteristic physical parameters and initial conditions of the system. The 1D physical system consisting of two parallel quantum wires where two electrons run in opposite directions: d is the distance between the wires.

Roberto Floreanini - One of the best experts on this subject based on the ideXlab platform.

  • Entanglement in Indistinguishable Particle systems
    Physics Reports, 2020
    Co-Authors: Fabio Benatti, Roberto Floreanini, Fabio Franchini, Ugo Marzolino
    Abstract:

    Abstract For systems consisting of distinguishable Particles, there exists an agreed upon notion of entanglement which is fundamentally based on the possibility of addressing individually each one of the constituent parties. Instead, the indistinguishability of identical Particles hinders their individual addressability and has prompted diverse, sometimes discordant definitions of entanglement. In the present review, we provide a comparative analysis of the relevant existing approaches, which is based on the characterization of bipartite entanglement in terms of the behaviour of correlation functions. Such a a point of view provides a fairly general setting where to discuss the presence of non-local effects; it is performed in the light of the following general consistency criteria: (i) entanglement corresponds to non-local correlations and cannot be generated by local operations; (ii) when, by “freezing” suitable degrees of freedom, identical Particles can be effectively distinguished, their entanglement must reduce to the one that holds for distinguishable Particles; (iii) in absence of other quantum resources, only entanglement can outperform classical information protocols. These three requests provide a setting that allows to evaluate strengths and weaknesses of the existing approaches to Indistinguishable Particle entanglement and to contribute to the current understanding of such a crucial issue. Indeed, they can be classified into five different classes: four hinging on the notion of Particle and one based on that of physical modes. We show that only the latter approach is consistent with all three criteria, each of the others indeed violating at least one of them.

Fabio Franchini - One of the best experts on this subject based on the ideXlab platform.

  • Entanglement in Indistinguishable Particle systems
    Physics Reports, 2020
    Co-Authors: Fabio Benatti, Roberto Floreanini, Fabio Franchini, Ugo Marzolino
    Abstract:

    Abstract For systems consisting of distinguishable Particles, there exists an agreed upon notion of entanglement which is fundamentally based on the possibility of addressing individually each one of the constituent parties. Instead, the indistinguishability of identical Particles hinders their individual addressability and has prompted diverse, sometimes discordant definitions of entanglement. In the present review, we provide a comparative analysis of the relevant existing approaches, which is based on the characterization of bipartite entanglement in terms of the behaviour of correlation functions. Such a a point of view provides a fairly general setting where to discuss the presence of non-local effects; it is performed in the light of the following general consistency criteria: (i) entanglement corresponds to non-local correlations and cannot be generated by local operations; (ii) when, by “freezing” suitable degrees of freedom, identical Particles can be effectively distinguished, their entanglement must reduce to the one that holds for distinguishable Particles; (iii) in absence of other quantum resources, only entanglement can outperform classical information protocols. These three requests provide a setting that allows to evaluate strengths and weaknesses of the existing approaches to Indistinguishable Particle entanglement and to contribute to the current understanding of such a crucial issue. Indeed, they can be classified into five different classes: four hinging on the notion of Particle and one based on that of physical modes. We show that only the latter approach is consistent with all three criteria, each of the others indeed violating at least one of them.