Experimental Demonstration of non-Markovian Dynamics via a Temporal Bell-like Inequality

Souza, Alexandre M.; Li, J.; Soares-Pinto, Diogo O.; Sarthour, R. S.; Oliveira, Suellen D. S.; Huelga, Susana F.; Paternostro, Mauro; Semião, F. L.

doi:10.48550/arxiv.1308.5761

Cited by 17 publications

(28 citation statements)

References 1 publication

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“…In the scope of controlled quantum systems, timedependent dephasing, including non-Markovian evolutions, can be introduced and externally controlled [12,[18][19][20][21]. Usually one can achieve it through controlled auxiliary systems.…”

Section: Example: Controlled Quantum Systemmentioning

confidence: 99%

“…Specifically, a model in the context of nuclear magnetic resonance (NMR) experiments, where a Ising-like interaction takes place between two spin 1/2 systems, is studied in Ref. [18]. One of these two-level systems is considered to be the system of interest, and the other is is seen as part of the environment, providing a structured bath.…”

Section: Example: Controlled Quantum Systemmentioning

confidence: 99%

“…It turns out that the parameters J and θ are controllable in the NMR experimental realization. In particular, the following superoperator can be engineered for any site i of the chain, such that the master equation describing the system's state ρ is given by [18]…”

Section: Example: Controlled Quantum Systemmentioning

confidence: 99%

“…Therefore, investigations of time-dependent dephasing in a transport scenario that includes more general Markovian as well as non-Markovian evolutions have the potential to drive new applications in the context of quantum technologies [17]. Furthermore, in the last years there has been a great interest in the fundamental and practical aspects of non-Markovianity [12,[18][19][20][21][22][23][24][25]. With the tools resulting from these studies and the experimental advances that have been reported, it is natural to envisage new possibilities to exploit such systems in the context of quantum transport.…”

Section: Introductionmentioning

confidence: 99%

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Time-Dependent Dephasing and Quantum Transport

Moreira

Marques

Semião

2021

Entropy

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The investigation of the phenomenon of dephasing assisted quantum transport, which happens when the presence of dephasing benefits the efficiency of this process, has been mainly focused on Markovian scenarios associated with constant and positive dephasing rates in their respective Lindblad master equations. What happens if we consider a more general framework, where time-dependent dephasing rates are allowed, thereby, permitting the possibility of non-Markovian scenarios? Does dephasing-assisted transport still manifest for non-Markovian dephasing? Here, we address these open questions in a setup of coupled two-level systems. Our results show that the manifestation of non-Markovian dephasing-assisted transport depends on the way in which the incoherent energy sources are locally coupled to the chain. This is illustrated with two different configurations, namely non-symmetric and symmetric. Specifically, we verify that non-Markovian dephasing-assisted transport manifested only in the non-symmetric configuration. This allows us to draw a parallel with the conditions in which time-independent Markovian dephasing-assisted transport manifests. Finally, we find similar results by considering a controllable and experimentally implementable system, which highlights the significance of our findings for quantum technologies.

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Section: Example: Controlled Quantum Systemmentioning

confidence: 99%

Section: Example: Controlled Quantum Systemmentioning

confidence: 99%

Section: Example: Controlled Quantum Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Time-Dependent Dephasing and Quantum Transport

Moreira

Marques

Semião

2021

Entropy

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“…Exceptions include the studies about vibrational coupling in the Fenna-Matthews-Olson complex [17][18][19], a few examples in condensed matter physics where non-Markovian dynamics induced by fermionic environments has been studied [20][21][22], and more recently in ion traps [23]. However, what seems to have not yet been properly exploited is the possibility of affecting energy transport in controlled quantum systems through carefully designed protocols to harness non-Markovianity [24][25][26][27][28]. This would be in full agreement with recent applications of non-Markovianity in many quantum technological applications such as quantum key distribution [29], quantum metrology [30], and quantum teleportation [31].…”

mentioning

confidence: 99%

Enhancing quantum transport efficiency by tuning non-Markovian dephasing

Moreira,

Marques,

Paiva

et al. 2019

Preprint

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A macrorealistic test in hybrid quantum optomechanics

Marchese¹,

McAleese²,

Bassi³

et al. 2020

J. Phys. B: At. Mol. Opt. Phys.

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We discuss a scheme for macrorealistic theories of the Leggett-Garg form [A. J. Leggett and A. Garg, Phys. Rev. Lett. 54, 857 (1985)]. Our scheme is based on a hybrid optomechanical system. It seems reasonable to test these inequalities with an optomechanical system, since in an optomechanical cavity it is possible to create non-classical states of the mirror through a projective measurement on the cavity field. We will present the protocol to generate such non-classicality for a general optomechanical cavity and after we will carry out a theoretical test for one of the possible formulations of these inequalities using a hybrid optomechanical system. Specifically, the inequality will be investigated for an harmonic oscillator coupled to a two-level system, which replaces the light field of the cavity. The aim is to reproduce, with this system, the evolution of a single spin-1/2 for which the inequality is violated; this is achievable through the conditioning of the two-level system which will be used as an ancilla.

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Experimental Demonstration of non-Markovian Dynamics via a Temporal Bell-like Inequality

Cited by 17 publications

References 1 publication

Time-Dependent Dephasing and Quantum Transport

Time-Dependent Dephasing and Quantum Transport

Enhancing quantum transport efficiency by tuning non-Markovian dephasing

A macrorealistic test in hybrid quantum optomechanics

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