|
| related topics |
| {energy, state, states} |
| {level, atom, field} |
| {group, space, representation} |
| {operator, operators, space} |
| {states, state, optimal} |
| {cos, sin, state} |
| {information, entropy, channel} |
| {let, theorem, proof} |
| {state, states, entangled} |
| {trap, ion, state} |
| {field, particle, equation} |
| {time, decoherence, evolution} |
|
Collective states in highly symmetric atomic configurations, and
single-photon traps
Hanno Hammer
abstract: Abbreviated Abstract: We study correlated states in a circular and
linear-chain configuration of identical two-level atoms containing the energy
of a single quasi-resonant photon in the form of a collective excitation, where
the collective behaviour is mediated by exchange of transverse photons between
the atoms. For a circular configuration of atoms the effective Hamiltonian on
the radiationless subspace of the system can be diagonalized analytically. In
this case, the radiationless energy eigenstates carry a $\mathbb{Z}_N$ quantum
number $p=0,1, ..., N$ which is analogous to the angular momentum quantum
number $l= 0, 1, ...$, carried by particles propagating in a central potential,
such as a hydrogen-like system. Just as the hydrogen s-states are the only
electronic wave functions which can occupy the central region of the Coulomb
potential, the quasi-particle corresponding to a collective excitation of the
circular atomic sample can occupy the central atom only for vanishing
$\mathbb{Z}_N$ quantum number $p$. For large numbers of atoms in a maximally
subradiant state, a critical interatomic distance of $\lambda/2$ emerges both
in the linear-chain and the circular configuration of atoms. The spontaneous
decay rate of the linear configuration exhibits a jump-like "critical"
behaviour for next-neighbour distances close to a half-wavelength. Furthermore,
both the linear-chain and the circular configuration exhibit exponential photon
trapping once the next-neighbour distance becomes less than a half-wavelength,
with the suppression of spontaneous decay being particularly pronounced in the
circular system. In this way, circular configurations containing sufficiently
many atoms may be natural candidates for {\it single-photon traps}.
- oai_identifier:
- oai:arXiv.org:quant-ph/0407094
- categories:
- quant-ph cond-mat.other
- comments:
- Invited contribution to "Xth International Conference on Quantum
Optics ICQO 2004" in Minsk, Belarus. To be published in Optics and
Spectroscopy
- doi:
- 10.1134/1.2034622
- arxiv_id:
- quant-ph/0407094
- journal_ref:
- Optics and Spectroscopy -- August 2005 -- Volume 99, Issue 2, pp.
320--337
- created:
- 2004-07-13
Full article ▸
|
|
| related documents |
| 0610068v1 |
| 0302177v1 |
| 0602102v1 |
| 0702253v4 |
| 0311025v1 |
| 0207087v1 |
| 0603083v1 |
| 9907085v2 |
| 0606239v1 |
| 0601204v1 |
| 0612194v1 |
| 0509166v2 |
| 0410115v1 |
| 0512249v2 |
| 0508208v1 |
| 0504001v1 |
| 0501124v1 |
| 0702051v1 |
| 0606110v1 |
| 0512214v3 |
| 0604040v2 |
| 0410196v2 |
| 0608051v1 |
| 0507244v1 |
| 0701120v2 |
|