Identical Particle

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Ashutosh Kumar Pandey - One of the best experts on this subject based on the ideXlab platform.

Yu Shi - One of the best experts on this subject based on the ideXlab platform.

  • Quantum entanglement of Identical Particles
    Physical Review A - Atomic Molecular and Optical Physics, 2003
    Co-Authors: Yu Shi
    Abstract:

    We consider entanglement in a system of fixed number of Identical Particles. Since any operation should be symmetrized over all the Identical Particles and there is the precondition that the spatial wave functions overlap, the meaning of Identical-Particle entanglement is fundamentally different from that of distinguishable Particles. The Identical-Particle counterpart of the Schmidt basis is shown to be the single-Particle basis in which the one-Particle reduced density matrix is diagonal. But it does not play a special role in the issue of entanglement, which depends on the single-Particle basis chosen. The nonfactorization due to (anti)symmetrization is naturally excluded by using the (anti)symmetrized basis or, equivalently, the Particle number representation. The natural degrees of freedom in quantifying the Identical-Particle entanglement in a chosen single-Particle basis are occupation numbers of different single Particle basis states. The entanglement between effectively distinguishable spins is shown to be a special case of the occupation-number entanglement.

Gerardo Adesso - One of the best experts on this subject based on the ideXlab platform.

  • Entanglement between Identical Particles Is a Useful and Consistent Resource
    Physical Review X, 2020
    Co-Authors: Benjamin Morris, Benjamin Yadin, Matteo Fadel, Tilman Zibold, Philipp Treutlein, Gerardo Adesso
    Abstract:

    A new theoretical description of Identical Particle entanglement frames it as a useful quantum resource in frequently encountered real-world experimental settings and not just a mathematical quirk.

  • Entanglement between Identical Particles is a useful and consistent resource
    arXiv: Quantum Physics, 2019
    Co-Authors: Benjamin Morris, Benjamin Yadin, Matteo Fadel, Tilman Zibold, Philipp Treutlein, Gerardo Adesso
    Abstract:

    The existence of fundamentally Identical Particles represents a foundational distinction between classical and quantum mechanics. Due to their exchange symmetry, Identical Particles can appear to be entangled -- another uniquely quantum phenomenon with far-reaching practical implications. However, a long-standing debate has questioned whether Identical Particle entanglement is physical or merely a mathematical artefact. In this work, we provide such entanglement with a consistent theoretical description as a quantum resource in processes frequently encountered in optical and cold-atom systems. Moreover, we demonstrate that Identical Particle entanglement is even a useful resource, being precisely the property resulting in directly usable entanglement from such systems when distributed to separated parties, with Particle conservation laws in play. The utility of our results is demonstrated by a quantitative analysis of a recent experiment on Bose-Einstein condensates. This work is hoped to bring clarity to the debate with a unifying conceptual and practical understanding of entanglement between Identical Particles.

Zubayer Ahammed - One of the best experts on this subject based on the ideXlab platform.

  • Pion-kaon femtoscopy and the lifetime of the hadronic phase in Pb$-$Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV
    2020
    Co-Authors: Shreyasi Acharya, Dagmar Adamova, Alexander Adler, Jonatan Adolfsson, Madan Mohan Aggarwal, Shahrukh Agha, Gianluca Aglieri Rinella, Michelangelo Agnello, Neelima Agrawal, Zubayer Ahammed
    Abstract:

    In this paper, the first femtoscopic analysis of pion-kaon correlations at the LHC is reported. The analysis was performed on the Pb-Pb collision data at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV recorded with the ALICE detector. The non-Identical Particle correlations probe the spatio-temporal separation between sources of different Particle species as well as the average source size of the emitting system. The sizes of the pion and kaon sources increase with centrality, and pions are emitted closer to the centre of the system and/or later than kaons. This is naturally expected in a system with strong radial flow and is qualitatively reproduced by hydrodynamic models. ALICE data on pion-kaon emission asymmetry are consistent with (3+1)-dimensional viscous hydrodynamics coupled to a statistical hadronization model, resonance propagation, and decay code THERMINATOR 2 calculation, with an additional time delay between 1 and 2 fm$/c$ for kaons. The delay can be interpreted as evidence for a significant hadronic rescattering phase in heavy-ion collisions at the LHC.

  • $\Lambda\rm{K}$ femtoscopy in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV
    2020
    Co-Authors: Shreyasi Acharya, Dagmar Adamova, Alexander Adler, Jonatan Adolfsson, Madan Mohan Aggarwal, Gianluca Aglieri Rinella, Michelangelo Agnello, Neelima Agrawal, Zubayer Ahammed, Shakeel Ahmad
    Abstract:

    The first measurements of the scattering parameters of $\Lambda$K pairs in all three charge combinations ($\Lambda$K$^{+}$, $\Lambda$K$^{-}$, and $\Lambda\mathrm{K^{0}_{S}}$) are presented. The results are achieved through a femtoscopic analysis of $\Lambda$K correlations in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV recorded by ALICE at the LHC. The femtoscopic correlations result from strong final-state interactions, and are fit with a parametrization allowing for both the characterization of the pair emission source and the measurement of the scattering parameters for the Particle pairs. Extensive studies with the THERMINATOR 2 event generator provide a good description of the non-femtoscopic background, which results mainly from collective effects, with unprecedented precision. Furthermore, together with HIJING simulations, this model is used to account for contributions from residual correlations induced by feed-down from Particle decays. The extracted scattering parameters indicate that the strong force is repulsive in the $\Lambda\rm{K}^{+}$ interaction and attractive in the $\Lambda\rm{K}^{-}$ and $\Lambda\rm{K}^{0}_{S}$ interactions. The results suggest an effect arising either from different quark-antiquark interactions between the pairs ($\rm s\overline{s}$ in $\Lambda$K$^{+}$ and $\rm u\overline{u}$ in $\Lambda$K$^{-}$) or from different net strangeness for each system (S = 0 for $\Lambda$K$^{+}$, and S = $-2$ for $\Lambda$K$^{-}$). Finally, the $\Lambda$K systems exhibit source radii larger than expected from extrapolation from Identical Particle femtoscopic studies. This effect is interpreted as resulting from the separation in space-time of the single-Particle $\Lambda$ and K source distributions.

M. França Santos - One of the best experts on this subject based on the ideXlab platform.

  • Useful entanglement from the Pauli principle
    Physical Review B, 2007
    Co-Authors: Daniel Cavalcanti, Leandro M. Malard, Franklin M. Matinaga, M. O. Terra Cunha, M. França Santos
    Abstract:

    We address the question whether Identical-Particle entanglement is a useful resource for quantum information processing. We answer this question positively by reporting a scheme to create entanglement using semiconductor quantum wells. The Pauli exclusion principle forces quantum correlations between the spins of two independent fermions in the conduction band. Selective electron-hole recombination then transfers this entanglement to the polarization of emitted photons, which can subsequently be used for quantum information tasks.

  • Increasing Identical Particle entanglement by fuzzy measurements
    Physical Review A, 2005
    Co-Authors: Daniel Cavalcanti, M. O. Terra Cunha, M. França Santos, Christian Lunkes, Vlatko Vedral
    Abstract:

    We investigate the effects of fuzzy measurements on spin entanglement for Identical Particles, both fermions and bosons. We first consider an ideal measurement apparatus and define operators that detect the symmetry of the spatial and spin part of the density matrix as a function of Particle distance. Then, moving on to realistic devices that can only detect the position of the Particle to within a certain spread, it was surprisingly found that the entanglement between Particles increases with the broadening of detection.