Non-Markovianity during the quantum Zeno effect

Thilagam, A.

doi:10.1063/1.4802785

Cited by 16 publications

(18 citation statements)

References 85 publications

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“…In another related study on photosynthetic systems [58], the time domains involved during effective Zeno or anti-Zeno dynamics appeared to be of the same order of magnitude as the non-Markovian time scale of the reservoir correlation dynamics. An earlier study [58] highlighted the subtle links in decay rates due to the Zeno mechanism and information flow between specific partitions of entangled systems.…”

Section: Non-markovianity and Photosynthesismentioning

confidence: 95%

“…An earlier study [58] highlighted the subtle links in decay rates due to the Zeno mechanism and information flow between specific partitions of entangled systems. These findings have implications for a joint Zeno effect-non-Markovian action in the critical tripartite states of the donor-acceptor-sink model of photosynthetic biosystems.…”

Section: Non-markovianity and Photosynthesismentioning

confidence: 98%

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Natural light harvesting systems: unraveling the quantum puzzles

Thilagam

2014

J Math Chem

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In natural light harvesting systems, the sequential quantum events of photon absorption by specialized biological antenna complexes, charge separation, exciton formation and energy transfer to localized reaction centers culminates in the conversion of solar to chemical energy. A notable feature in these processes is the exceptionally high efficiencies (>95 %) at which excitation is transferred from the illuminated protein complex site to the reaction centers. The high speed of excitation propagation within a system of interwoven biomolecular network structures, is yet to be replicated in artificial light harvesting complexes. A clue to unraveling the quantum puzzles of nature may lie in the observations of long lived coherences lasting several picoseconds in the electronic spectra of photosynthetic complexes, which occurs even in noisy environmental baths. However the exact nature of the association between the high energy propagation rates and strength of quantum coherences remains largely unsolved. A number of experimental and theoretical studies have been devoted to unlocking the links between quantum processes and information protocols, in the hope of finding the answers to nature's puzzling mode of energy propagation. This review presents recent developments in quantum theories, and links information-theoretic aspects with photosynthetic light-harvesting processes in biomolecular systems. There is examination of various attempts to pinpoint the processes that underpin coherence features arising from the light harvesting activities of biomolecular systems, with particular emphasis on the effects that factors such non-Markovianity, zeno mechanisms, teleportation, quantum predictability and the role of multipartite states have on the quantum dynamics of biomolecular systems. A discussion of how quantum thermodynamical A. Thilagam (B) Information Technology, Engineering and Environment, principles and agent-based modeling and simulation approaches can improve our understanding of natural photosynthetic systems is included.

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Section: Non-markovianity and Photosynthesismentioning

confidence: 95%

Section: Non-markovianity and Photosynthesismentioning

confidence: 98%

Natural light harvesting systems: unraveling the quantum puzzles

Thilagam

2014

J Math Chem

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“…Since this discovery, both the QZE and QAZE have been studied in many different physical setups such as superconducting qubits 10 23 27 , nanomechanical oscillators 28 , Josephson junctions 29 , disordered spin systems 30 , and localized atomic systems 31 . Generally speaking, the focus has been to study the population decay of quantum systems, whereby the quantum system is prepared in an excited state, and the system is thereafter repeatedly checked to see if the system is still in the excited state or not 24 26 28 29 30 31 32 33 34 35 36 37 . It has then been shown that the decay rate depends on the overlap of the spectral density of the environment and a measurement-induced level width 24 .…”

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confidence: 99%

A general framework for the Quantum Zeno and anti-Zeno effects

Chaudhry

2016

Sci Rep

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Repeated measurements can slow down (the quantum Zeno effect) or speed up (the quantum anti-Zeno effect) the temporal evolution of a quantum system. In this paper, a general treatment of the quantum Zeno and anti-Zeno effects is presented which is valid for an arbitrary system-environment model in the weak system-environment coupling regime. It is shown that the effective lifetime of a quantum state that is subjected to repeated projective measurements depends on the overlap of the spectral density of the environment and a generalized ‘filter function’. This filter function depends on the system-environment Hamiltonian, the state of the environment, and the measurement being performed. Our general framework is then used to study explicitly the Zeno to anti-Zeno crossover behaviour for the spin-boson model where a single two-level system is coupled to a bosonic environment. It is possible to not only reproduce results for the usual population decay case as well as for the pure dephasing model, but to also study the regime where both decay and dephasing take place. These results are then extended to many two-level systems coupled collectively to the bosonic environment to further illustrate the importance of the correct evaluation of the effective decay rate.

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“…By a semiclassical analysis they concluded that the QZE is a purely quantum phenomenon without classical analog 34 . Though for a long time, the investigations of QZE and QAZE had mainly focused on the population decay of a quantum system coupled to an environment 3,16,20,35–37 , Chaudhry and co-worker switched to also examine the effect of dephasing in their investigation in 2014 38,39 .…”

Section: Introductionmentioning

confidence: 99%

A new approach to study the Zeno effect for a macroscopic quantum system under frequent interactions with a harmonic environment

Ghasemi

Shafiee

2019

Sci Rep

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Quantum Zeno and anti-Zeno behaviors of a two-level macroscopic quantum system in interaction with a harmonic environment are studied using the perturbation theory. The system-environment interactions are applied in a successive and step-by-step way. A new expression for the probability of surviving the macrosystem in its initial state, after the Nth interaction step, is derived through a different method of calculation. It is shown that multiple transitions between Zeno and anti-Zeno behaviors can be found in our approach. We have shown that in addition to the environmental parameters like the Ohmicity, the macroscopic trait of the system also has a notable effect on the decay rate Γ(τ). Moreover, we have investigated how the decay rate Γ(τ) varies as the parameter of the macroscopicity of the system changes continuously in a given domain.

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Non-Markovianity during the quantum Zeno effect

Cited by 16 publications

References 85 publications

Natural light harvesting systems: unraveling the quantum puzzles

Natural light harvesting systems: unraveling the quantum puzzles

A general framework for the Quantum Zeno and anti-Zeno effects

A new approach to study the Zeno effect for a macroscopic quantum system under frequent interactions with a harmonic environment

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