Quantum tight-binding chains with dissipative coupling

Mogilevtsev, D.; Slepyan, G. Ya.; Garusov, E.; Kilin, S. Ya.; Korolkova, Natalia

doi:10.1088/1367-2630/17/4/043065

Cited by 14 publications

(28 citation statements)

References 43 publications

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“…Similar entangled stationary states were found recently in dissipatively coupled TLS chains [32]. Secondly, coherences in the chain can also flow diffusively having the sum of them preserved.…”

Section: Non-classicalitysupporting

confidence: 81%

“…For this example Θ = 0, so, asymptotically the state of the chain is the diagonal mixture of the vacuum and single-excitation states. For long times, 4γt sin 2 {π/(N + 1)} 1, phase of chain halves are opposite, since the initial state depicted in Fig.2(c) has non-zero overlap with the simplest antisymmetric eigenmode of the chain [32]. For coherences α kl = (−1) k+l 1 k |ρ|1 l and k = l ± 1 Eq.…”

Section: Non-classicalitymentioning

confidence: 97%

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Diffusive lossless energy and coherence transfer by noisy coupling

Mogilevtsev

Slepyan

2016

Phys. Rev. A

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Here we show that noisy coupling can lead to diffusive lossless energy transfer between individual quantum systems retaining a quantum character leading to entangled stationary states. Coherence might flow diffusively while being summarily preserved even when energy exchange is absent. Diffusive dynamics persists even in the case when additional noise suppresses all the unitary excitation exchange: arbitrarily strong local dephasing, while destroying quantum correlations, is not affecting energy transfer. IntroductionDiffusive transfer of energy (and, ultimately, derivation of Fourier heat-transfer law from microscopic dynamics) up to day remain subjects of theoretical interest and even controversy [1][2][3][4][5]. For microscopic dynamics dominated by quantum effects establishing of diffusive energy transfer is far from being obvious. Commonly considered microscopic models, such as chains of unitarily connected networks of bosonic and/or fermionic systems with attached thermal reservoirs and noise sources can demonstrate both ballistic and diffusive behavior in dependence on interaction strengths and other parameters of the whole system, generally requiring approximations (such as long time and large size limits) for emergence of classical-like heat dynamics. Here we suggest a noise-mediated microscopic mechanism for diffusive transfer. Energy can propagate without loss, but through losses. Recently it has become quite usual to see noises not only as something destroying quantum coherence and reducing quantum states to classicality, but also as a tool to create and enhance quantumness. Non-local loss can preserve entanglement and even generate entangled stated from initially uncorrelated ones [6][7][8][9][10]. Engineered loss can lead to dissipative protection and coherence preservation [11][12][13] and deterministic creation of non-classical states [14,[17][18][19][20] and serve as a tool for quantum computing [15,16]. Networks of dissipatively coupled systems can support topologically protected states [21]. Even a pure local dephasing is no longer considered completely harmful: it can enhance quantum state transfer and suppress localizing effects of static disorder [22][23][24]. However, too strong local dephasing generally suppresses unitary excitation exchange and energy transfer stemming from it.Here we show a microscopic mechanism of diffusive lossless energy transfer, which is impervious to local dephasing. It arises when coupling constants describing common single-excitation hopping are fluctuating randomly, like it is, for example, with spin-spin dipolar coupling in random environments. Dynamics produced by fluctuating coupling might preserve certain quantum correlations, and even entanglement during evolution toward the stationary state. Populations are not coupled by the dynamics with the off-diagonal terms. So, for example,

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Section: Non-classicalitysupporting

confidence: 81%

Section: Non-classicalitymentioning

confidence: 97%

Diffusive lossless energy and coherence transfer by noisy coupling

Mogilevtsev

Slepyan

2016

Phys. Rev. A

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“…V defines the strength of the dissipative coupling. Such a dissipative coupling is obtained by assuming that the two vdP oscillators are coupled to a common Markovian reservoir [23], as schematically shown in Fig. 1.…”

Section: The Modelmentioning

confidence: 99%

Quantum effects in amplitude death of coupled anharmonic self-oscillators

et al. 2018

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Coupling two or more self-oscillating systems may stabilize their zero-amplitude rest state, therefore quenching their oscillation. This phenomenon is termed "amplitude death." Well known and studied in classical self-oscillators, amplitude death was only recently investigated in quantum self-oscillators [Ishibashi and Kanamoto, Phys. Rev. E 96, 052210 (2017)2470-004510.1103/PhysRevE.96.052210]. Quantitative differences between the classical and quantum descriptions were found. Here, we demonstrate that for quantum self-oscillators with anharmonicity in their energy spectrum, multiple resonances in the mean phonon number can be observed. This is a result of the discrete energy spectrum of these oscillators, and is not present in the corresponding classical model. Experiments can be realized with current technology and would demonstrate these genuine quantum effects in the amplitude death phenomenon.

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“…Our work suggests a number of follow-up studies: (i) it is important to extend our consideration for other mechanisms of interatomic coupling and quantum entanglement (tunneling, spin-spin interactions, dissipative coupling via the common reservoir [78], noise coupling [79], etc), which allow the electromagnetic crosstalk of especially non-electromagnetic origin; (ii) it is important to investigate the equivalent circuits for multi-level and initially pumped quantum structures; (iii) it is important to account for decoherence using the theory of open quantum systems [80] (non-Markovian coupling of the system to the quantum bath [81,82]). We assume that the atom is initially prepared in the ground state, | ( ) | y ñ = ñ g 0…”

Section: Discussionmentioning

confidence: 99%

Anomalous electromagnetic coupling via entanglement at the nanoscale

et al. 2019

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Understanding unwanted mutual interactions between devices at the nanoscale is crucial for the study of the electromagnetic compatibility in nanoelectronic and nanophotonic systems. Anomalous electromagnetic coupling (crosstalk) between nanodevices may arise from the combination of electromagnetic interaction and quantum entanglement. In this paper we study in detail the crosstalk between two identical nanodevices, each consisting of a quantum emitter (atom, quantum dot, etc), capacitively coupled to a pair of nanoelectrodes. Using the generalized susceptibility concept, the overall system is modeled as a two-port within the framework of the electrical circuit theory and it is characterized by the admittance matrix. We show that the entanglement changes dramatically the physical picture of the electromagnetic crosstalk. In particular, the excitation produced in one of the ports may be redistributed in equal parts between both the ports, in spite of the rather small electromagnetic interactions. Such an anomalous crosstalk is expected to appear at optical frequencies in lateral GaAs double quantum dots. A possible experimental set up is also discussed. The classical concepts of interference in the operation of electronic devices, which have been known since the early days of radio-communications and are associated with electromagnetic compatibility, should then be reconsidered at the nanoscale.

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Quantum tight-binding chains with dissipative coupling

Cited by 14 publications

References 43 publications

Diffusive lossless energy and coherence transfer by noisy coupling

Diffusive lossless energy and coherence transfer by noisy coupling

Quantum effects in amplitude death of coupled anharmonic self-oscillators

Anomalous electromagnetic coupling via entanglement at the nanoscale

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