Entanglement in many-body systems

Amico, Luigi; Fazio, Rosario; Osterloh, Andreas; Vedral, Vlatko

doi:10.1103/revmodphys.80.517

Cited by 3,556 publications

(4,540 citation statements)

References 473 publications

(541 reference statements)

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“…Even for extremely large values of fluctuations δn 2 C , the concurrence C AB remains constant above Γ c . Charge fluctuations δn 2 A remain low for the whole range of Γ , as expected.…”

Section: Numerical Analysissupporting

confidence: 82%

“…Results presented in Figures 2h-2n are thus analogous to those in Figures 2a-2g. The main distinction is the fact that dots A and B remain consistently decoupled from the rest of the system for the whole range of Γ , as is particularly clearly seen from the spin-spin correlations signaling triplet or singlet state for Γ < Γ c and Γ > Γ c , respectively, while S A · S C ∼ 0 due to the increase of δn 2 C with increasing Γ/D. Even for extremely large values of fluctuations δn 2 C , the concurrence C AB remains constant above Γ c .…”

Section: Numerical Analysismentioning

confidence: 99%

“…Creation of entangled states is essential for quantum computation and communication where most qubit operations cannot be performed through the manipulation of separable states [1][2][3][4]. Two electron spin qubits, each localized in one of two adjacent semiconductor quantum dots (QDs), can be coupled via the Heisenberg exchange interaction due to virtual electron tunneling between the dots [5,6].…”

Section: Introductionmentioning

confidence: 99%

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Entanglement switching via the Kondo effect in triple quantum dots

et al. 2014

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Abstract. We consider a triple quantum dot system in a triangular geometry with one of the dots connected to metallic leads. Using Wilson's numerical renormalization group method, we investigate quantum entanglement and its relation to the thermodynamic and transport properties in the regime where each of the dots is singly occupied on average, but with non-negligible charge fluctuations. It is shown that even in the regime of significant charge fluctuations the formation of the Kondo singlets induces switching between separable and perfectly entangled states. The quantum phase transition between unentangled and entangled states is analyzed quantitatively and the corresponding phase diagram is explained by exactly solvable spin model. In the framework of an effective model we also explain smearing of the entanglement transition for cases when the symmetry of the triple quantum dot system is relaxed.

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Section: Numerical Analysissupporting

confidence: 82%

Section: Numerical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Entanglement switching via the Kondo effect in triple quantum dots

et al. 2014

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“…By contrast, temporal evolution of quantum information has not been thoroughly classified. In recent years, closely related properties, such as von Neumann and Renyi bipartite entanglement entropies of subsystems of isolated many-body systems have received serious attention, especially regarding its area-law behavior in the ground state [4][5][6][7][8] and its possible deviations [9][10][11] . One prominent result is the (LiebRobinson) linear in-time growth of entanglement in ballistic and diffusive systems 12 .…”

Section: Introductionmentioning

confidence: 99%

Multipoint entanglement in disordered systems

2017

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We develop an approach to characterize excited states of disordered many-body systems using spatially resolved structures of entanglement. We show that the behavior of the mutual information (MI) between two parties of a many-body system can signal a qualitative difference between thermal and localized phases -MI is finite in insulators while it approaches zero in the thermodynamic limit in the ergodic phase. Related quantities, such as the recently introduced Codification Volume (CV), are shown to be suitable to quantify the correlation length of the system. These ideas are illustrated using prototypical non-interacting wavefunctions of localized and extended particles and then applied to characterize states of strongly excited interacting spin chains. We especially focus on evolution of spatial structure of quantum information between high temperature diffusive and many-body localized phases believed to exist in these models. We study MI as a function of disorder strength both averaged over the eigenstates and in time-evolved product states drawn from continuously deformed family of initial states realizable experimentally. As expected, spectral and time-evolved averages coincide inside the ergodic phase and differ significantly outside. We also highlight dispersion among the initial states within the localized phase -some of these show considerable generation and delocalization of quantum information.

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“…Besides its fundamental aspects, entanglement is commonly accepted of paramount importance in the development of quantum information science [1,2,3,4,5,6]. In fact, entangled states have found various applications in quantum information processing protocols as for instance quantum cryptography [7], quantum teleportation [8], quantum dense coding [9].…”

Section: Introductionmentioning

confidence: 99%

Unified scheme for correlations using linear relative entropy

Daoud

Laamara²,

Kaydi³

2014

Physics Letters A

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A linearized variant of relative entropy is used to quantify in a unified scheme the different kinds of correlations in a bipartite quantum system. As illustration, we consider a two-qubit state with parity and exchange symmetries for which we determine the total, classical and quantum correlations. We also give the explicit expressions of its closest product state, closest classical state and the corresponding closest product state. A closed additive relation, involving the various correlations quantified by linear relative entropy, is derived.

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Entanglement in many-body systems

Cited by 3,556 publications

References 473 publications

Entanglement switching via the Kondo effect in triple quantum dots

Entanglement switching via the Kondo effect in triple quantum dots

Multipoint entanglement in disordered systems

Unified scheme for correlations using linear relative entropy

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