Coherent control of spontaneous emission near a photonic band edge

Woldeyohannes, Mesfin; John, Sajeev

doi:10.1088/1464-4266/5/2/201

Cited by 88 publications

(106 citation statements)

References 143 publications

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“…Since Purcell predicted the modification of QE decay rates inside cavities [7], the possibility of modifying QE dynamics through spectral shaping of the vacuum modes has attracted a lot of interest (see [8][9][10][11][12][13] and references therein for several reviews on the subject). Recent advances in QE-nanophotonics integration [14][15][16][17][18][19][20][21][22][23][24][25][26] and the possibility of mimicking such QED scenarios in circuit QED [27][28][29][30][31] or cold atoms [32,33] has increased the interest in studying systems where the baths not only have an spectral structure but are also confined to reduced dimensionalities.…”

Section: Introductionmentioning

confidence: 99%

Markovian and non-Markovian dynamics of quantum emitters coupled to two-dimensional structured reservoirs

2017

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The interaction of quantum emitters with structured baths modifies both their individual and collective dynamics. In Ref.[1] we show how exotic quantum dynamics emerge when QEs are spectrally tuned around the middle of the band of a two-dimensional structured reservoir, where we predict the failure of perturbative treatments, anisotropic non-markovian interactions and novel super and subradiant behaviour. In this work, we provide further analysis of that situation, together with a complete analysis for the quantum emitter dynamics in spectral regions different from the center of the band.

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Section: Introductionmentioning

confidence: 99%

Markovian and non-Markovian dynamics of quantum emitters coupled to two-dimensional structured reservoirs

2017

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“…We shall study the special case when the environment is such that sufficiently high population trapping occurs (as in photonic-band gap materials [21]), to see if a long-time protection of nonlocal entanglement, as identified by Bell inequality violations, is achievable.…”

Section: Introductionmentioning

confidence: 99%

Long-Time Preservation of Nonlocal Entanglement

Bellomo¹,

Franco²

2009

adv sci lett

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We investigate how nonlocal entanglement, as identified by violations of a Bell inequality, may be protected during the evolution. Our system consists of two qubits each embedded in a bosonic reservoir evolving independently and initially in an entangled mixed state. We show that the violation of the Bell inequality can be related to the single-qubit population of excited state in such a way that, by appropriately choosing structured environments that give rise to sufficiently high values of population trapping, long-time protection of nonlocal entanglement can be correspondingly achieved.

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“…As a consequence, the correlation function of the field is highly non-Markovian, and therefore an atom in interaction with such field will display non-Markovian dynamics. In this context, there are several works devoted to investigate the dynamics of few-level atoms in PGB-materials [24,26,27]. For them, non-Markovian stochastic Schrödinger equations have been successfully applied [28].…”

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confidence: 99%

Multiple-Time Correlation Functions for Non-Markovian Interaction: Beyond the Quantum Regression Theorem

2005

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Multiple time correlation functions are found in the dynamical description of different phenomena. They encode and describe the fluctuations of the dynamical variables of a system. In this paper we formulate a theory of non-Markovian multiple-time correlation functions (MTCF) for a wide class of systems. We derive the dynamical equation of the reduced propagator, an object that evolve state vectors of the system conditioned to the dynamics of its environment, which is not necessarily at the vacuum state at the initial time. Such reduced propagator is the essential piece to obtain multiple-time correlation functions. An average over the different environmental histories of the reduced propagator permits us to obtain the evolution equations of the multiple-time correlation functions. We also study the evolution of MTCF within the weak coupling limit and it is shown that the multiple-time correlation function of some observables satisfy the Quantum Regression Theorem (QRT), whereas other correlations do not. We set the conditions under which the correlations satisfy the QRT. We illustrate the theory in two different cases; first, solving an exact model for which the MTCF are explicitly given, and second, presenting the results of a numerical integration for a system coupled with a dissipative environment through a non-diagonal interaction.PACS numbers: 3.65 Yz, 42.50 Lc Introduction and motivation. Many research contexts are focused on the dynamics of a system (S) that is affected by an environment (B) from which it cannot be considered isolated. Examples of such situations are encountered in statistical physics, condensed matter and quantum optics. We found a concrete example in the description of the dynamics of an atom (S) immersed in an electromagnetic field (B) [1,2].In some circumstances, the analysis of the dynamics of the system is done using the expectation values of its observables over state vectors of the whole system, and then averaging over the environmental degrees of freedom. However, in some other situations, like when studying the response of a system to an external EM field, some additional information is needed. In particular, for the analysis of the spectroscopic properties of a system some multiple-time correlation function (MTCF) has to be computed, usually a two-time correlation function.The dynamics of the system S is usually described through its reduced density operator. Such operator verifies some master equation that in the Markovian case is of Lindblad type [1,3,4,5,6,7]. Complementary to the master equation approach, a series of Monte-Carlo type of approaches based on the so called stochastic Schrödinger equations [1,4,8,9,10] have been developed in the last decade. In such schemes, the dynamics of system state vectors is integrated, and after an average is made over many realizations of environment histories that eventually are understood as a noise and takes into account the environment influence on S. In the non-Markovian case, within the context of nuclear magnetic resonance, the ...

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Coherent control of spontaneous emission near a photonic band edge

Cited by 88 publications

References 143 publications

Markovian and non-Markovian dynamics of quantum emitters coupled to two-dimensional structured reservoirs

Markovian and non-Markovian dynamics of quantum emitters coupled to two-dimensional structured reservoirs

Long-Time Preservation of Nonlocal Entanglement

Multiple-Time Correlation Functions for Non-Markovian Interaction: Beyond the Quantum Regression Theorem

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