Thermodynamic power of non-Markovianity

Bylicka, Bogna; Tukiainen, Mikko; Chruściński, Dariusz; Piilo, Jyrki; Maniscalco, Sabrina

doi:10.1038/srep27989

Cited by 121 publications

(138 citation statements)

References 41 publications

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“…However, based on the ML-QSL, the quantum evolution is accelerated not only in the non-Markovian regime but also in the Markovian regime. The memory effects (non-Markovianity) for the dephasing model associated with the quantum channel capacity Q(Φ) can be defined by [39,41] …”

Section: Discussionmentioning

confidence: 99%

The initial-state dependence of the quantum speed limit

Wu¹,

Zhang²,

Yu³

et al. 2014

J. Phys. A: Math. Theor.

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The generic bound of quantum speed limit time (the minimal evolution time) for a qubit system interacting with structural environment is investigated. We define a new bound for the quantum speed limit. It is shown that the non-Markovianity and the population of the excited state can fail to signal the quantum evolution acceleration, but the initial-state dependence is an important factor. In particular, we find that different quantum speed limits could produce contradictory predictions on the quantum evolution acceleration.

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Section: Discussionmentioning

confidence: 99%

The initial-state dependence of the quantum speed limit

Wu¹,

Zhang²,

Yu³

et al. 2014

J. Phys. A: Math. Theor.

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“…* Corresponding author: rebecca.schmidt@aalto.fi Also, a theoretical framework has been developed based on the concept of a nonequilibrium subsystem, where some of the degrees of freedom of the reservoir are driven out of equilibrium by the system-bath correlations, leading to extra entropy production terms [20]. However, entropy alone does not constitute a good measure of information exchange [31]. Therefore, proper information-theoretic tools and their relation to heat exchange should be examined.…”

Section: Introductionmentioning

confidence: 99%

Heat flux and information backflow in cold environments

2016

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We examine non-Markovian effects in an open quantum system from the point of view of information flow. To this end, we consider the spin-boson model with a cold reservoir, accounting for the exact timedependent correlations between the system and the bath to study the exchange of information and heat. We use an information-theoretic measure of the relevant memory effects and demonstrate that the information backflow from the reservoir to the system does not necessarily correlate with the backflow of heat. We also examine the influence of temperature and coupling strength on the loss and gain of information between the system and the bath. Finally, we discuss how additional driving changes the backflow of information, giving rise to potential applications in reservoir engineering.

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“…38. Broadly speaking these measures can be categorised into those that look at properties of the dynamical maps that induce the time evolution of the system; [39][40][41][42][43] monotonicity of distance measures between two time-evolved trajectories of the system; [44][45][46][47] and properties quantifying the correlations between the system of interest and an ancillary system. 40, [48][49][50] Other measures are based upon the sign of decay rates of a Lindblad master equation in its canonical form 51 and properties of the affine transform induced by the dynamical map.…”

Section: Introductionmentioning

confidence: 99%

How Markovian is exciton dynamics in purple bacteria?

Vaughan

Linden

Manby

2017

The Journal of Chemical Physics

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We investigate the extent to which the dynamics of excitons in the light-harvesting complex LH2 of purple bacteria can be described using a Markovian approximation. To analyse the degree of non-Markovianity in these systems, we introduce a measure based on fitting Lindblad dynamics, as well as employing a recently introduced trace-distance measure. We apply these measures to a chromophore-dimer model of exciton dynamics and use the hierarchical equation-of-motion method to take into account the broad, low-frequency phonon bath. With a smooth phonon bath, small amounts of non-Markovianity are present according to the trace-distance measure, but the dynamics is poorly described by a Lindblad master equation unless the excitonic dimer coupling strength is modified. Inclusion of underdamped, high-frequency modes leads to significant deviations from Markovian evolution in both measures. In particular, we find that modes that are nearly resonant with gaps in the excitonic spectrum produce dynamics that deviate most strongly from the Lindblad approximation, despite the trace distance measuring larger amounts of non-Markovianity for higher frequency modes. Overall we find that the detailed structure in the high-frequency region of the spectral density has a significant impact on the nature of the dynamics of excitons.

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Thermodynamic power of non-Markovianity

Cited by 121 publications

References 41 publications

The initial-state dependence of the quantum speed limit

The initial-state dependence of the quantum speed limit

Heat flux and information backflow in cold environments

How Markovian is exciton dynamics in purple bacteria?

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