Cavity QED with Many Atoms

Martini, Ullrich; Schenzle, A.

doi:10.1007/3-540-40894-0_22

Cited by 4 publications

(6 citation statements)

References 10 publications

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“…In analogy with methods for the solution of arbitrary sized ensembles within the Dicke Model [26]- [29], we will show that if one devises a physical system in which the Hamiltonian and Lindblad operators are formed from specific collective operators, then specific subspaces of the total Hilbert space are invariant under the action of both the Hamiltonian and Lindblad operators. In the case of the Dicke model these irreducible subspaces, invariant under the action of Hamiltonian and Lindblad operators formed from collective generators of SU (2), are the irreducible representations of su (2).…”

Section: Preliminary Theorymentioning

confidence: 99%

Dissipative preparation of largeWstates in optical cavities

2013

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Two novel schemes are proposed for the dissipative preparation of large W states, of the order of ten qubits, within the context of Cavity QED. By utilizing properties of the irreducible representations of su(3), we are able to construct protocols in which it is possible to restrict the open system dynamics to a fully symmetric irreducible subspace of the total Hilbert space, and hence obtain analytic solutions for effective ground state dynamics of arbitrary sized ensembles of Λ atoms within an optical cavity. In the proposed schemes, the natural decay processes of spontaneous emission and photon loss are no longer undesirable, but essential to the required dynamics. All aspects of the proposed schemes relevant to implementation in currently available optical cavities are explored, especially with respect to increasing system size.

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Section: Preliminary Theorymentioning

confidence: 99%

Dissipative preparation of largeWstates in optical cavities

2013

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“…These approaches are based on the full reduced density matrix (RDM) equation (black stars), (26), (27), (28) and (29). Other parameters according to Table I. the population recursion relation (derived from the plasmon RDM, yellow circles) as well as the rate equations (blue solid line).…”

Section: A Comparison Of the Plasmon Mean Number Calculated With Difmentioning

confidence: 99%

“…( 24). Blue solid line: calculations based on rate equations ( 26),( 27),( 28) and (29). Other parameters according to Table I.…”

Section: A Comparison Of the Plasmon Mean Number Calculated With Diff...mentioning

confidence: 99%

“…In particular, the numerical exact method to solve RDM equations, which was initially proposed by M. Richter and A. Knorr in [26] for many identical two-levels systems coupled to a cavity or plasmon mode, can be easily extended to the case of many identical multi-levels systems. This method actually provides another way to solve the dissipative Cavity-QED problem without using Dicke states [29] and therefore can be utilized to study many related problems, for example, sub-radiance and super-radiance [32], lasing [30,31], and collective behavior of spin-ensembles [33][34][35].…”

Section: Introductionmentioning

confidence: 99%

“…Yellow circles: calculations based on recursion relation Eq.(24). Blue solid line: calculations based on rate equations (26),(27),(28) and(29). Other parameters according to TableI.…”

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confidence: 99%

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Theoretical study of plasmonic lasing in junctions with many molecules

2016

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We calculate the quantum state of the plasmon field excited by an ensemble of molecular emitters, which are driven by exchange of electrons with metallic nano-particle electrodes. Assuming identical emitters that are coupled collectively to the plasmon mode but are otherwise subject to independent relaxation channels, we show that symmetry constraints on the total system density matrix imply a drastic reduction in the numerical complexity. For N m three-level molecules we may thus represent the density matrix by a number of terms scaling as (N m + 8)!/(8!N m !) instead of 9 N m , and this allows exact simulations of up to N m = 10 molecules. Our simulations demonstrate that many emitters compensate strong plasmon damping and lead to the population of high plasmon number states and a narrowed linewidth of the plasmon field. For large N m , our exact results are reproduced by an approximate approach based on the plasmon reduced density matrix. With this approach, we have extended the simulations to more than 50 molecules and shown that the plasmon number state population follows a Poisson-like distribution. An alternative approach based on nonlinear rate equations for the molecular state populations and the mean plasmon number also reproduce the main lasing characteristics of the system.

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Theory of molecule metal nano-particle interaction: Quantum description of plasmonic lasing

Zhang

May

2015

The Journal of Chemical Physics

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The recent quantum description of a few molecules interacting with plasmon excitations of a spherical metal nano-particle (MNP) as presented in the work of Zhang and May [Phys. Rev. B 89, 245441 (2014)] is extended to systems with up to 100 molecules. We demonstrate the possibility of multiple plasmon excitation and describe their conversion into far-field photons. The calculation of the steady-state photon emission spectrum results in an emission line-narrowing with an increasing number of molecules coupled to the MNP. This is considered as an essential criterion for the action of the molecule-MNP system as a nano-laser. To have exact results for systems with up to 20 molecules, we proceed as recently described by Richter et al. [Phys. Rev. B 91, 035306 (2015)] and study a highly symmetric system. It assumes an equatorial and regular position of identical molecules in such a way that their coupling is dominated by that to a single MNP dipole-plasmon excitation. Changing from the exact computation of the system's complete density matrix to an approximate theory based on the reduced plasmon density matrix, systems with more than 100 molecules can be described. Finally, nonlinear rate equations are proposed which reproduce the mean number of excited plasmons in their dependence of the number of molecules and of the used pump rate. The second order intensity correlation function of emitted photons is related to the respective plasmon correlation function which approaches unity when the system starts lasing.

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Cavity QED with Many Atoms

Cited by 4 publications

References 10 publications

Dissipative preparation of largeWstates in optical cavities

Dissipative preparation of largeWstates in optical cavities

Theoretical study of plasmonic lasing in junctions with many molecules

Theory of molecule metal nano-particle interaction: Quantum description of plasmonic lasing

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