Dynamics of entanglement in systems of identical fermions undergoing decoherence

Valdés-Hernández, Andrea; Majtey, Ana P.; Plastino, A.

doi:10.1103/physreva.91.032313

Cited by 6 publications

(16 citation statements)

References 34 publications

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“…An immediate consequence is that when a measurement is performed on a two-fermion system, the interaction between the fermions and the measurement apparatus (or detector) affects each particle in the same way. Thus the Hamiltonian H int describing the interaction of the two fermions with the apparatus M has the form [27] H…”

Section: Interaction Of the Fermionic System With The Measuring Amentioning

confidence: 99%

Entanglement generation through particle detection in systems of identical fermions

et al. 2017

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We investigate the generation of entanglement in systems of identical fermions through a process involving particle detection, focusing on the implications that this kind of processes have for the concept of entanglement between fermionic particles. As a paradigmatic example we discuss in detail a scheme based on a splitting-plus-detection operation. This scheme generates states with accessible entanglement starting from an initial pure state of two indistinguishable fermions exhibiting correlations due purely to antisymmetrization. It is argued that the proposed extraction of entanglement does not contravene the notion that entanglement in identical-fermion systems requires correlations beyond those purely due to their indistinguishability. In point of fact, it is shown that this concept of entanglement, here referred to as fermonic entanglement, actually helps to clarify some essential aspects of the entanglement generation process. In particular, we prove that the amount of extracted accessible entanglement equals the amount of fermionic entanglement created with the detection process. The aforementioned scheme is generalized for the case of N -identical fermion systems of arbitrary dimension. It transpires from our present discussion that a proper analysis of entanglement generation during the splitting-plus-detection operation is not only consistent with the concept of fermonic entanglement, but actually reinforces this concept.

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Section: Interaction Of the Fermionic System With The Measuring Amentioning

confidence: 99%

Entanglement generation through particle detection in systems of identical fermions

et al. 2017

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“…For a pure state |φ of such a tripartite system, a measure of entanglement defined in terms of the purity of the fermionic reduced density matrix has been proposed to quantify the bipartite entanglement between one of the fermions and the rest of the system (second fermion plus A) [30]. Now, for states of the form |φ = |ψ f f |η A , clearly the entanglement between one fermion and the rest reduces to the entanglement between the fermions (which are in a pure state).…”

Section: Bipartite Concurrence In Systems Of Two Identical Fermionsmentioning

confidence: 99%

Multipartite concurrence for identical-fermion systems

et al. 2016

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We study the problem of detecting multipartite entanglement among indistinguishable fermionic particles. A multipartite concurrence for pure states of N identical fermions, each one having a ddimensional single-particle Hilbert space, is introduced. Such entanglement measure, in particular, is optimized for maximally entangled states of three identical fermions that play a role analogous to the usual (qubit) Greenberger-Horne-Zeilinger-state. In addition, it is shown that the fermionic multipartite concurrence can be expressed as the mean value of an observable, provided two copies of the composite state are available.

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“…Such criteria have been successfully applied to experimentally probe quantum correlations [22][23][24][25][26][27]. In the same dimensions, the characterization and application of entanglement in systems of IP gained an increasing importance during the past years; see, e.g., [28][29][30][31][32][33][34][35][36][37][38][39][40]. In particular, the entanglement of multiple qubits, realized in spin systems, has been investigated [41][42][43][44], and the question of how to extract entanglement for applications from systems subjected to the Pauli principle has been addressed [45,46].…”

Section: Introductionmentioning

confidence: 99%

Entanglement witnesses for indistinguishable particles

2015

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We study the problem of witnessing entanglement among indistinguishable particles. For this purpose, we derive a set of equations which results in necessary and sufficient conditions for probing multipartite entanglement between arbitrary systems of bosons or fermions. The solution of these equations yields the construction of optimal entanglement witnesses for partial and full entanglement in discrete and continuous variable systems. Our approach unifies the verification of entanglement for distinguishable and indistinguishable particles. We provide general solutions for certain observables to study quantum entanglement in systems with different quantum statistics in noisy environments.

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Dynamics of entanglement in systems of identical fermions undergoing decoherence

Cited by 6 publications

References 34 publications

Entanglement generation through particle detection in systems of identical fermions

Entanglement generation through particle detection in systems of identical fermions

Multipartite concurrence for identical-fermion systems

Entanglement witnesses for indistinguishable particles

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