|
| related topics |
| {energy, state, states} |
| {time, wave, function} |
| {equation, function, exp} |
| {operator, operators, space} |
| {cos, sin, state} |
| {level, atom, field} |
| {photon, photons, single} |
| {state, states, coherent} |
| {light, field, probe} |
| {let, theorem, proof} |
| {wave, scattering, interference} |
|
Bloch-Zener oscillations
B. M. Breid, D. Witthaut, H. J. Korsch
abstract: It is well known that a particle in a periodic potential with an additional
constant force performs Bloch oscillations. Modulating every second period of
the potential, the original Bloch band splits into two subbands. The dynamics
of quantum particles shows a coherent superposition of Bloch oscillations and
Zener tunneling between the subbands, a Bloch-Zener oscillation. Such a system
is modelled by a tight-binding Hamiltonian, a system of two minibands with an
easily controllable gap. The dynamics of the system is investigated by using an
algebraic ansatz leading to a differential equation of Whittaker-Hill type. It
is shown that the parameters of the system can be tuned to generate a periodic
reconstruction of the wave packet and thus of the occupation probability. As an
application, the construction of a matter wave beam splitter and a Mach-Zehnder
interferometer is briefly discussed.
- oai_identifier:
- oai:arXiv.org:quant-ph/0603093
- categories:
- quant-ph
- doi:
- 10.1088/1367-2630/8/7/110
- arxiv_id:
- quant-ph/0603093
- journal_ref:
- New J. Phys. 8 (2006) 110
- created:
- 2006-03-10
Full article ▸
|
|
| related documents |
| 0407015v1 |
| 0409149v2 |
| 9909047v1 |
| 0602048v2 |
| 9710049v1 |
| 0412118v2 |
| 0610114v3 |
| 9708020v1 |
| 0412056v1 |
| 0701096v2 |
| 0608051v1 |
| 0702078v2 |
| 9705040v1 |
| 0401103v1 |
| 0007031v1 |
| 0612039v1 |
| 0606110v1 |
| 0612175v1 |
| 0602236v1 |
| 0607098v2 |
| 0603123v3 |
| 0702051v1 |
| 0109053v1 |
| 9910101v1 |
| 0307230v2 |
|