Noise-induced non-Markovianity

Kurt, Arzu; Eryiğit, Resul

doi:10.1103/physreva.98.042125

Cited by 7 publications

(4 citation statements)

References 64 publications

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“…The non-Markovianity of the dynamics due to DMN has also be thoroughly demonstrated [63,64]. The effect of DMN on the non-Markovianity of a spin embedded in a bosonic bath was demonstrated in [65]. In particular, it was shown that classical noise can create strong non-Markovianity when the dynamics of the noise-free system is Markovian.…”

Section: Correlation Functionmentioning

confidence: 94%

Exact classical noise master equations: Applications and connections

Kiely¹

2021

EPL

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All quantum systems are subject to noise and imperfections due to stray fields, inhomogeneities or drifting experimental controls. An understanding of the effects of noise and decoherence is critical to the progress towards fully functional quantum devices. In this perspective, we focus on noise in quantum systems which are modelled by a dynamic stochastic parameter in the Hamiltonian. We will outline exact evolution equations describing the ensemble average dynamics for a variety of common noise types and their connections. We will also highlight an approximate evolution equation valid in the weak noise limit for an arbitrary classical stochastic field. This framework should serve as a starting point for identifying signatures of differing noise types and optimisation of robust control protocols.

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Section: Correlation Functionmentioning

confidence: 94%

Exact classical noise master equations: Applications and connections

Kiely¹

2021

EPL

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“…Equation (22) can be used to further analyse the behaviour of the non-Markovianity N in the weak coupling limit. First note that for α = 0 the time evolution is unitary, and thus, N = 0.…”

Section: Non-analyticity Of the Non-markovianitymentioning

confidence: 99%

“…Previous studies of non-Markovianity in the spin-boson model used perturbative approaches or focused on special parameter regimes such as higher temperature. [18][19][20][21][22] We also mention a path-integral study of non-Markovianity in a related model, 23 albeit for finite temperature, and a very recent, similar investigation in the integrable model of quantum Brownian motion. 24 The spin-boson model, which involves a two-level system (or spin) interacting linearly with a bath of harmonic oscillators, is a paradigmatic model to describe dissipative quantum dynamics.…”

mentioning

confidence: 99%

Non-Markovian effects in the spin-boson model at zero temperature

Wenderoth,

Breuer,

Thoss

2021

Preprint

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“…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

Self Cite

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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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Noise-induced non-Markovianity

Cited by 7 publications

References 64 publications

Exact classical noise master equations: Applications and connections

Exact classical noise master equations: Applications and connections

Non-Markovian effects in the spin-boson model at zero temperature

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

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