Entanglement in a two-identical-particle system

Abstract

The definition of entanglement in identical-particle system is introduced. The separability criterion in two-identical particle system is given. The physical meaning of the definition is analysed. Applications to two-boson and two-fermion systems are made. It is found new entanglement and correlation phenomena in identical-boson systems exist, and they may have applications in the field of quantum information.

arXiv comment4 pages

References in corpus (6)

• Mixed State Entanglement and Quantum Error Correction
• Many-particle entanglement with Bose--Einstein condensates
• On Bell measurements for teleportation
• Maximum efficiency of a linear-optical Bell-state analyzer
• Double-Occupancy Errors, Adiabaticity, and Entanglement of Spin-Qubits in Quantum Dots
• Quantum Teleportation and Bell's Inequality Using Single-Particle Entanglement

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• Entanglement for multipartite systems of indistinguishable particles
• Entanglement of indistinguishable particles: a comparative study
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• Canonical entanglement for two indistinguishable particle
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• Entanglement in fermionic Fock space
• Density Matrix in Quantum Mechanics and Distinctness of Ensembles Having the Same Compressed Density Matrix
• Algebraic Geometry tools for the study of entanglement: an application to spin squeezed states
• Dynamics of spatially indistinguishable particles and entanglement protection
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• Quantum Zeno subspace and entangled Bose-Einstein condensates
• Entanglement classification of three fermions with up to nine single-particle states
• Universal nonlinear entanglement witnesses
• Scaling of entanglement at quantum phase transition for two-dimensional array of quantum dots
• Criteria for the entanglement of composite systems of identical particles
• Mode Entanglement and Entangling power in Bosonic Graphs
• Fast control of interactions in an ultracold two atom system: Managing correlations and irreversibility
• Robust fermionic-mode entanglement of a nanoelectronic system in non-Markovian environments
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• Entanglement generation through particle detection in systems of identical fermions
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• Universality of internal correlations of strongly interacting p-wave fermions in one-dimensional geometry
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• Accessing inaccessible information via quantum indistinguishability
• Degrees of Entanglement in Systems of Three Indistinguishable Bosons: Revisiting the Greenberger-Horne-Zeilinge State
• Genuine multipartite entanglement from many-electron systems
• On Quantum Semipermeable Barriers: Investigating Maxwell's Demon Toolbox
• Quantum Statistical Mechanics of Electronically Open Molecules: Reduced Density Operators
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