Fermionic entanglement via quantum walks in quantum dots

Melnikov, A. A.; Fedichkin, Leonid

doi:10.1063/1.5025463

Cited by 4 publications

(7 citation statements)

References 19 publications

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“…It would be interesting to investigate explicit dynamical entanglement features of this system, corresponding to time‐dependent states, and compare them to the entanglement dynamics exhibited by other fermionic systems, such as those considered in refs. [30, 31]. It would also be worth to explore possible connections between our developments, and very recent works on the topology and/or the entanglement in junctions of free fermionic chains akin to the ones consider by us, such as refs.…”

Section: Discussionmentioning

confidence: 74%

“…Here we have focused on the entanglement features of a Su-Schrieffer-Heeger chain with an embedded Aharonov-Bohm ring, related to the eigenstates of the system. It would be interesting to investigate explicit dynamical entanglement features of this system, corresponding to time-dependent states, and compare them to the entanglement dynamics exhibited by other fermionic systems, such as those considered in [30,31]. It would also be worth to explore possible connections between our developments, and very recent works on the topology and/or the entanglement in junctions of free fermionic chains akin to the ones consider by us, such as [38] (where the junction is conformally-invariant), [39] (where the junction is a scatterer), or [43] (where the junction is a hopping defect).…”

Section: Discussionmentioning

confidence: 99%

“…This notion is central for understanding the physical properties of composite quantum systems, including systems consisting of identical particles. Considerable effort has been devoted to analyze and clarify the concept of entanglement in systems of identical particles [18][19][20][21][22][23][24][25][26], and to apply it to the study of specific physical systems [27][28][29][30][31][32][33][34][35][36][37][38][39]. In the present work, as already mentioned, we shall focus on the entanglement between modes.…”

Section: B Entanglement Between Modes In Fermionic Systemsmentioning

confidence: 99%

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Tunable Mode Entanglement: Topological Su–Schrieffer–Heeger (SSH) Chain with an Embedded Aharonov–Bohm Quantum Ring

et al. 2022

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We investigate a variant of the SSH model consisting of an SSH chain with an embedded Aharonov-Bohm quantum ring. The embedded ring gives rise to domain wall states whose energy levels are in the band gap. The dependence of some of the states on the ring's magnetic flux provides a mechanism to control the entanglement between the two SSH edge fermion modes. The concurrence between the edge modes depends periodically on the magnetic flux. In the deep topological zone, for appropriate values of the flux, the concurrence reaches the extreme values of 0 and 1, corresponding to vanishing entanglement and to maximum entanglement. Therefore, the QR-SSH system offers a tuning mechanism that can be used either as an entanglement modulator or as an entanglement switch.

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Section: Discussionmentioning

confidence: 74%

Section: Discussionmentioning

confidence: 99%

Section: B Entanglement Between Modes In Fermionic Systemsmentioning

confidence: 99%

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Tunable Mode Entanglement: Topological Su–Schrieffer–Heeger (SSH) Chain with an Embedded Aharonov–Bohm Quantum Ring

et al. 2022

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“…These dynamics were studied before and shown to be useful for the preparation of two-qudit entangled states of two distinguishable subsystems. 18,[20][21][22] The highly entangled states of qudits can be obtained by only using the free quantum evolution of identical particles, without relying on any additional manipulations with particles. Here we studied a characteristic property of quantum walk dynamics -the hitting time of these indistinguishable particles -and related this property to fermionic entanglement.…”

Section: Resultsmentioning

confidence: 99%

“…A more comprehensive analysis of the shown entanglement dynamics of interacting fermions can be found in Refs. 21,22, where realistic noise scenarios a taken into account (this includes a depolarization noise that can dissociate and annihilate entanglement of many particles 36 ).…”

Section: Resultsmentioning

confidence: 99%

Hitting time for quantum walks of identical particles

Melnikov

Alodjants

Fedichkin

2019

International Conference on Micro- And Nano-Electronics 2018

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Quantum particles are known to be faster than classical when they propagate stochastically on certain graphs. A time needed for a particle to reach a target node on a distance, the hitting time, can be exponentially less for quantum walks than for classical random walks. It is however not known how fast would interacting quantum particles propagate on different graphs. Here we present our results on hitting times for quantum walks of identical particles on cycle graphs, and relate the results to our previous findings on the usefulness of identical interacting particles in quantum information theory. We observe that interacting fermions traverse cycle graphs faster than non-interacting fermions. We show that the rate of propagation is related to fermionic entanglement: interacting fermions keep traversing the cycle graph as long as their entanglement grows. Our results demonstrate the role of entanglement in quantum particles propagation. These results are of importance for understanding quantum transport properties of identical particles.

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