Continuous-time quantum walks on dynamical percolation graphs

Benedetti, Claudia; Rossi, Matteo A. C.; Paris, Matteo G. A.

doi:10.1209/0295-5075/124/60001

Cited by 30 publications

(28 citation statements)

References 54 publications

(70 reference statements)

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“…A variety of different topics can be put under the umbrella of quantum transport, such as efficient energy transfer and conversion in biological systems [ 1 , 2 , 3 , 4 , 5 ], transport in low dimensional quantum systems [ 6 , 7 , 8 , 9 , 10 , 11 ], quantum thermodynamics [ 12 , 13 ], and quantum information processing and transmission [ 14 , 15 , 16 , 17 ].…”

Section: Introductionmentioning

confidence: 99%

Excitation Dynamics in Chain-Mapped Environments

Tamascelli

2020

Entropy

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The chain mapping of structured environments is a most powerful tool for the simulation of open quantum system dynamics. Once the environmental bosonic or fermionic degrees of freedom are unitarily rearranged into a one dimensional structure, the full power of Density Matrix Renormalization Group (DMRG) can be exploited. Beside resulting in efficient and numerically exact simulations of open quantum systems dynamics, chain mapping provides an unique perspective on the environment: the interaction between the system and the environment creates perturbations that travel along the one dimensional environment at a finite speed, thus providing a natural notion of light-, or causal-, cone. In this work we investigate the transport of excitations in a chain-mapped bosonic environment. In particular, we explore the relation between the environmental spectral density shape, parameters and temperature, and the dynamics of excitations along the corresponding linear chains of quantum harmonic oscillators. Our analysis unveils fundamental features of the environment evolution, such as localization, percolation and the onset of stationary currents.

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Section: Introductionmentioning

confidence: 99%

Excitation Dynamics in Chain-Mapped Environments

Tamascelli

2020

Entropy

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“…Uchiyama et al [17] have analyzed the effect of spatial and temporal correlations on EET in a multi-site model by using a Ornstein-Uhlenbeck noise process to describe the environment, and observe that negative spatial correlation of the noise is the most effective in helping the EET. The effect of RTN on transport via continuous-time quantum walks has been studied on lattices [30,31], also in presence of spatial correlations [32]. Its effect on the non-Markovianity of the dynamics of the spin-boson model has also been considered [33].…”

Section: Introductionmentioning

confidence: 99%

Efficient quantum transport in a multi-site system combining classical noise and quantum baths

2020

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We study the population dynamics and quantum transport efficiency of a multi-site dissipative system driven by a random telegraph noise (RTN) by using a variational polaron master equation for both linear chain and ring configurations. By using two different environment descriptions-RTN only and a thermal bath+RTN-we show that the presence of the classical noise has a non-trivial role on quantum transport. We observe that there exist large areas of parameter space where the combined bath+RTN influence is clearly beneficial for populating the target state of the transport, and for average trapping time and transport efficiency when accounting for the presence of the reaction center via the use of the sink. This result holds for both of the considered intra-site coupling configurations including a chain and ring. In general, our formalism and achieved results provide a platform for engineering and characterizing efficient quantum transport in multi-site systems both for realistic environments and engineered systems.

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“…Signatures of the nonclassicality of the evolution involve the ballistic propagation of the quantum walker, compared to the classical diffusive analog [15], and their measurement-induced disturbance or the presence of nonclassical correlations, i.e., discord, in bipartite systems [16]. The effects of classical noise on the gradual loss of quantum features has also been investigated [17,18] Classical and quantum walkers indeed evolve differently over a given graph. In particular, classical random walks are open systems where randomness may be ascribed to the interaction with some external source of noise, whereas the evolution of a quantum walker is unitary.…”

Section: Introductionmentioning

confidence: 99%

Quantum-classical dynamical distance and quantumness of quantum walks

2020

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We introduce a fidelity-based measure, D QC (t), to quantify the differences in the dynamics of classical versus quantum walks over a graph. We provide universal, graph-independent, analytic expressions of this quantumclassical dynamical distance, showing that at short times D QC (t) is proportional to the coherence of the walker, i.e., a genuine quantum feature, whereas at long times it depends only on the size of the graph. At intermediate times, D QC (t) does depend on the graph topology through its algebraic connectivity. Our results show that the difference in the dynamical behavior of classical and quantum walks is entirely due to the emergence of quantum features at short times. In the long-time limit, quantumness and the different nature of the generators of the dynamics, e.g., the open-system nature of classical walks and the unitary nature of quantum walks, are instead contributing equally.

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Continuous-time quantum walks on dynamical percolation graphs

Cited by 30 publications

References 54 publications

Excitation Dynamics in Chain-Mapped Environments

Excitation Dynamics in Chain-Mapped Environments

Efficient quantum transport in a multi-site system combining classical noise and quantum baths

Quantum-classical dynamical distance and quantumness of quantum walks

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