Related papers: Subradiant emission from regular atomic arrays: universal scaling of decay rates from the generalized Bloch theorem

Subradiant emission from regular atomic arrays: universal scaling of decay rates from the generalized Bloch theorem

URL: http://arxiv.org/abs/2006.06329v2
Date: Mon, 26 Oct 2020 11:37:22 GMT
Title: Subradiant emission from regular atomic arrays: universal scaling of decay rates from the generalized Bloch theorem
Authors: Yu-Xiang Zhang and Klaus M{\o}lmer
Abstract summary: We show that a dispersion relation leads to the existence of subradiant states of finite one-dimensional arrays of $N$ atoms with decay rates scaling as $N-(s+1)$. This explains the recently discovered $N-3$ scaling and it leads to the prediction of power law scaling with higher power for special values of the lattice period.
Score: 8.527960992762184
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The Hermitian part of the dipole-dipole interaction in infinite periodic arrays of two-level atoms yields an energy band of singly excited states. In this Letter, we show that a dispersion relation, $\omega_k-\omega_{k_\ex} \propto (k-k_{\ex})^s$, near the band edge of the infinite system leads to the existence of subradiant states of finite one-dimensional arrays of $N$ atoms with decay rates scaling as $N^{-(s+1)}$. This explains the recently discovered $N^{-3}$ scaling and it leads to the prediction of power law scaling with higher power for special values of the lattice period. For the quantum optical implementation of the Su-Schrieffer-Heeger (SSH) topological model in a dimerized emitter array, the band-gap-closing inherent to topological transitions changes the value of $s$ in the dispersion relation and alters the decay rates of the subradiant states by many orders of magnitude.

Related papers

Scattering Neutrinos, Spin Models, and Permutations [42.642008092347986]
We consider a class of Heisenberg all-to-all coupled spin models inspired by neutrino interactions in a supernova with $N$ degrees of freedom. These models are characterized by a coupling matrix that is relatively simple in the sense that there are only a few, relative to $N$, non-trivial eigenvalues.
arXiv Detail & Related papers (2024-06-26T18:27:15Z)
Strongly subradiant states in planar atomic arrays [39.58317527488534]
We study collective dipolar oscillations in finite planar arrays of quantum emitters in free space. We show that the external coupling between the collective states associated with the symmetry of the array and with the quasi-flat dispersion of the corresponding infinite lattice plays a crucial role in the boost of their radiative lifetime.
arXiv Detail & Related papers (2023-10-10T17:06:19Z)
$N$ Scaling of Large-Sample Collective Decay in Inhomogeneous Ensembles [44.99833362998488]
We experimentally study collective decay of an extended disordered ensemble of $N$ atoms inside a hollow-core fiber. We observe up to $300$-fold enhanced decay rates, strong optical bursts and a coherent ringing.
arXiv Detail & Related papers (2023-07-21T14:43:29Z)
1-matrix functional for long-range interaction energy of two hydrogen atoms [0.0]
Minimization of the resulting explicit functional yields the large-$R$s for the occupation numbers of the weakly occupied NOs. The radial components of the $p$-type "half-space" orbitals and the corresponding occupation numbers (that decay like $R-6$) are available for the first time thanks to the development of the present formalism.
arXiv Detail & Related papers (2023-03-11T12:30:01Z)
Driven anti-Bragg subradiant states in waveguide quantum electrodynamics [91.3755431537592]
We study theoretically driven quantum dynamics in periodic arrays of two-level qubits coupled to the waveguide. We demonstrate, that strongly subradiant eigenstates of the master equation for the density matrix emerge under strong coherent driving for arrays with the anti-Bragg periods.
arXiv Detail & Related papers (2022-02-21T11:36:55Z)
Periodically driven Rydberg chains with staggered detuning [0.0]
We study the stroboscopic dynamics of a driven finite Rydberg chain with staggered ($Delta$) and time-dependent uniform ($lambda(t)$) detuning terms using exact diagonalization (ED) We show that at intermediate drive ($omega_D$), the presence of a finite $Delta$ results in violation of the eigenstate thermalization hypothesis (ETH) via clustering of Floquet eigenstates. The violation of ETH in these driven finite-sized chains is also evident from the dynamical freezing displayed by the density density correlation function at specific $omega_D
arXiv Detail & Related papers (2021-12-29T19:04:07Z)
Dimerization of many-body subradiant states in waveguide quantum electrodynamics [137.6408511310322]
We study theoretically subradiant states in the array of atoms coupled to photons propagating in a one-dimensional waveguide. We introduce a generalized many-body entropy of entanglement based on exact numerical diagonalization. We reveal the breakdown of fermionized subradiant states with increase of $f$ with emergence of short-ranged dimerized antiferromagnetic correlations.
arXiv Detail & Related papers (2021-06-17T12:17:04Z)
High-Q localized states in finite arrays of subwavelength resonators [0.0]
We introduce a novel physical mechanism for achieving giant quality factors ($Q$-factors) in finite-length periodic arrays of subwavelength optical resonators. We propose a realistic array of Mie-resonant nanoparticles ($N lesssim 29$) with a dramatic enhancement of the Purcell factor (up to $sim $3400) achieved by tuning the array parameters.
arXiv Detail & Related papers (2020-11-23T23:30:15Z)
Anisotropy-mediated reentrant localization [62.997667081978825]
We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
arXiv Detail & Related papers (2020-01-31T19:00:01Z)

This list is automatically generated from the titles and abstracts of the papers in this site.