Collective spontaneous emission beyond the rotating-wave approximation

Li, Yong; Evers, Jörg; Zheng, Hang; Zhu, Shi‐Yao

doi:10.1103/physreva.85.053830

Cited by 31 publications

(42 citation statements)

References 41 publications

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“…The resulting eigenvalues E are complex and the real part plays the role of the eigenstate's excitation energy, whereas −2Im(E) can be interpreted as the decay rate of the eigenstate's occupation number [45]. Also note that for a non-Hermitian Hamiltonian, the left eigenstates are in general not just the Hermitian conjugate of the right eigenstates (as it would be for a Hermitian Hamiltonian).…”

Section: B Eigenstates and Eigenvaluesmentioning

confidence: 99%

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Probing few-excitation eigenstates of interacting atoms on a lattice by observing their collective light emission in the far field

Longo

Evers²

2014

Phys. Rev. A

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The collective emission from a one-dimensional chain of interacting two-level atoms coupled to a common electromagnetic reservoir is investigated. We derive the system's dissipative few-excitation eigenstates, and analyze its static properties, including the collective dipole moments and branching ratios between different eigenstates. Next, we study the dynamics, and characterize the light emitted or scattered by such a system via different far-field observables. Throughout the analysis, we consider spontaneous emission from an excited state as well as two different pump field setups, and contrast the two extreme cases of non-interacting and strongly interacting atoms. For the latter case, the two-excitation submanifold contains a two-body bound state, and we find that the two cases lead to different far-field signatures. Finally we exploit these signatures to characterize the wavefunctions of the collective eigenstates. For this, we identify a direct relation between the collective branching ratio and the momentum distribution of the collective eigenstates' wavefunction. This provides a method to proof the existence of certain collective eigenstates and to access their wave function without the need to individually address and/or manipulate single atoms.

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Section: B Eigenstates and Eigenvaluesmentioning

confidence: 99%

“…For atoms coupled to free space, the complex rates that enter Hamiltonians (2) and (3) are given by [45] Γ…”

Section: Fundamentals a The Modelmentioning

confidence: 99%

Probing few-excitation eigenstates of interacting atoms on a lattice by observing their collective light emission in the far field

Longo

Evers²

2014

Phys. Rev. A

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“…In Refs. [32,33], the electrostatic dipole-dipole interaction is neglected unreasonably, then the interactions between atoms are less sensitive to the distances and the strong superradiance is still obtained under the random distribution. Note that the effect of regular atomic distribution is universal for different geometries (see Figs.…”

Section: Fig 3 (Color Online)mentioning

confidence: 99%

“…The coefficients Γ ij in the differential equation (11) constitute an N × N matrix. The problem reduces to the determination of complex eigenvalues Γ n and eigenstates ν (n) of the matrix Γ [21,26,[32][33][34]. The eigenstates decay exponentially in the long-time limit.…”

Section: Time Evolution For Single-atom-excitation Statesmentioning

confidence: 99%

“…Recently, cooperative spontaneous emission received renewed interest when the emission from an N -atom system excited by a single photon was considered [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. With the development of experimental technology, it becomes possible to detect the single-photon superradiance [20], which might yield new tools for storing quantum information and deepening our understanding on the physics of virtual processes [27].…”

Section: Introductionmentioning

confidence: 99%

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Effect of atomic distribution on cooperative spontaneous emission

Feng

Zhu

2014

Phys. Rev. A

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We study cooperative single-photon spontaneous emission from N multilevel atoms for different atomic distributions in optical vector theory. Instead of the average approximation for interatomic distance or the continuum approximation (sums over atoms replaced by integrals) for atomic distribution, the positions of every atom are taken into account by numerical calculation. It is shown that the regularity of atomic distribution has considerable influence on cooperative spontaneous emission. For a small atomic sample (compared with radiation wavelength), to obtain strong superradiance not only needs the uniform excitation (the Dicke state) but also requires the uniform atomic distribution. For a large sample, the uniform atomic distribution is beneficial to subradiance of the Dicke state, while the influence of atomic distribution on the timed Dicke state is weak and its time evolution obeys exponential decay approximately. In addition, we also investigate the corresponding emission spectrum and verify the directed emission for the timed Dicke state for a large atomic sample.

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Protecting Quantum State in Time‐Dependent Decoherence‐Free Subspaces Without the Rotating‐Wave Approximation

Chen

Huang

et al. 2017

Annalen der Physik

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In this paper, we propose a scheme to protect quantum state by utilizing the time‐dependent decoherence‐free subspaces (TDFSs) theory without the rotating‐wave approximation (RWA). A coherent control is designed to drive the quantum system into the TDFSs, moreover, the singularities of the designed coherent control can be avoided by appropriately choosing the control parameters. From an experimental view point, the influences of variations of the control parameters and the imperfect initial state are discussed in detail. Numerical simulations confirm that the scheme can protect the quantum information from both the environmental decoherence and the control errors. In addition, by comparing with the scheme employing RWA, we show that the weak coherent control field is not suitable to create the TDFS, the counter‐rotating terms in the strong coherent control are helpful to protect the quantum information.

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Collective spontaneous emission beyond the rotating-wave approximation

Cited by 31 publications

References 41 publications

Probing few-excitation eigenstates of interacting atoms on a lattice by observing their collective light emission in the far field

Probing few-excitation eigenstates of interacting atoms on a lattice by observing their collective light emission in the far field

Effect of atomic distribution on cooperative spontaneous emission

Protecting Quantum State in Time‐Dependent Decoherence‐Free Subspaces Without the Rotating‐Wave Approximation

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