Quantum correlations of identical particles subject to classical environmental noise

Beggi, Andrea; Buscemi, Fabrizio; Bordone, Paolo

doi:10.1007/s11128-016-1334-8

Cited by 17 publications

(12 citation statements)

References 123 publications

(254 reference statements)

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“…As it turns out, single-particle dephasing models do not show any divergence from wave mechanics [10,[18][19][20][21]. Rather the richness and complexity of genuine quantum processes are more prominent when a manifold of indistinguishable particles is considered [22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 98%

Endurance of quantum coherence due to particle indistinguishability in noisy quantum networks

Pérez-Leija¹,

Guzmán-Silva²,

León‐Montiel³

et al. 2018

npj Quantum Inf

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Quantum coherence, the physical property underlying fundamental phenomena such as multi-particle interference and entanglement, has emerged as a valuable resource upon which modern technologies are founded. In general, the most prominent adversary of quantum coherence is noise arising from the interaction of the associated dynamical system with its environment. Under certain conditions, however, the existence of noise may drive quantum and classical systems to endure intriguing nontrivial effects. In this vein, here we demonstrate, both theoretically and experimentally, that when two indistinguishable non-interacting particles co-propagate through quantum networks affected by non-dissipative noise, the system always evolves into a steady state in which coherences accounting for particle indistinguishabilty perpetually prevail. Furthermore, we show that the same steady state with surviving quantum coherences is reached even when the initial state exhibits classical correlations. *

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Section: Introductionmentioning

confidence: 98%

Endurance of quantum coherence due to particle indistinguishability in noisy quantum networks

Pérez-Leija¹,

Guzmán-Silva²,

León‐Montiel³

et al. 2018

npj Quantum Inf

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“…Actually, quantum walks have been experimentally implemented in a variety of quantum systems [10], such as optical resonator [11], nuclear magnetic resonance [12], trapped ions [13], trapped cold neutral atoms [14,15], single photons in bulk [16], fiber optics [17], and coupled waveguide arrays [18]. And on the theoretical side, fundamental effects of quantum statistics [19,20], interactions [20][21][22][23], disorders [24,25], defects [26,27], and hopping modulations [23,[27][28][29] on quantum walks have been intensively investigated. * Electronic address: liwangiphy@sxu.edu.cn…”

Section: Introductionmentioning

confidence: 99%

Quantum walks in the commensurate off-diagonal Aubry-André-Harper model

et al. 2017

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Due to the topological nature of Aubry-André-Harper (AAH) model, exotic edge states have been found existing in one-dimensional periodic and quasiperiodic lattices. In this article, we investigate continuous-time quantum walks of identical particles initially located on either edge of commensurate AAH lattices in detail. It is shown that the quantum walker is delocalized among the whole lattice until the strength of periodic modulation is strong enough. The inverse participation ratios (IPRs) for all of the eigenstates are calculated. It is found that the localization properties of the quantum walker is mainly determined by the IPRs of the topologically protected edge states. More interestingly, the edge states are shown to have an exotic 'repulsion' effect on quantum walkers initiated from the lattice sites inside the bulk. Furthermore, we examine the role of nearest-neighbour interaction on the quantum walks of two identical fermions. Clear enhancement of the 'repulsion' effect by strong interaction has been shown.

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“…The study of quantum random walks in noisy environments have played a fundamental role in understanding non-trivial quantum phenomena observed in an interdisciplinary framework of studies ranging from biology [1,2], chemistry [3], materials science [4] and electronics [5], to photonics [6][7][8][9] and ultracold matter [10,11]. For many years, most of the research efforts had been focused on the propagation of single particles [12]; however, a great interest in describing the dynamics of correlated particles in noisy systems has recently arisen [13][14][15][16], mainly because it has been recognized that many-particle quantum correlations can be preserved in noisy networks by properly controlling the initial state of the particles, their statistics, indistinguishability or their type of interaction [17,18].…”

Section: Introductionmentioning

confidence: 99%

Two-particle quantum correlations in stochastically-coupled networks

et al. 2019

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Quantum walks in dynamically-disordered networks have become an invaluable tool for understanding the physics of open quantum systems. Although much work has been carried out considering networks affected by diagonal disorder, it is of fundamental importance to study the effects of fluctuating couplings. This is particularly relevant in materials science models, where the interaction forces may change depending on the species of the atoms being linked. In this work, we make use of stochastic calculus to derive a master equation for the dynamics of one and two non-interacting correlated particles in tight-binding networks affected by off-diagonal dynamical disorder. We show that the presence of noise in the couplings of a quantum network creates a pure-dephasing-like process that destroys all coherences in the single-particle Hilbert subspace. Moreover, we show that when two or more correlated particles propagate in the network, coherences accounting for particle indistinguishability are robust against the impact of off-diagonal noise, thus showing that it is possible, in principle, to find specific conditions for which many indistinguishable particles can traverse stochastically-coupled networks without losing their ability to interfere.

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Quantum correlations of identical particles subject to classical environmental noise

Cited by 17 publications

References 123 publications

Endurance of quantum coherence due to particle indistinguishability in noisy quantum networks

Endurance of quantum coherence due to particle indistinguishability in noisy quantum networks

Quantum walks in the commensurate off-diagonal Aubry-André-Harper model

Two-particle quantum correlations in stochastically-coupled networks

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