dorsal/arxiv
View SchemaTheory of 2$\delta$-kicked Quantum Rotors
| Authors | C. E. Creffield, S. Fishman, T. S. Monteiro |
|---|---|
| Categories | |
| ArXiv ID | physics/0510161 |
| URL | https://arxiv.org/abs/physics/0510161 |
| DOI | 10.1103/PhysRevE.73.066202 |
| Journal | Phys. Rev. E 73, 066202 (2006). |
Abstract
We examine the quantum dynamics of cold atoms subjected to {\em pairs} of closely spaced $\delta$-kicks from standing waves of light, and find behaviour quite unlike the well-studied quantum kicked rotor (QKR). Recent experiments [Jones et al, {\em Phys. Rev. Lett. {\bf 93}, 223002 (2004)}] identified a regime of chaotic, anomalous classical diffusion. We show that the corresponding quantum phase-space has a cellular structure, arising from a unitary matrix with oscillating band-width. The corresponding eigenstates are exponentially localized, but scale with a fractional power, $L \sim \hbar^{-0.75}$, in contrast to the QKR for which $L \sim \hbar^{-1}$. The effect of inter-cell (and intra-cell) transport is investigated by studying the spectral fluctuations with both periodic as well as `open' boundary conditions.
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"abstract": "We examine the quantum dynamics of cold atoms subjected to {\\em pairs} of\nclosely spaced $\\delta$-kicks from standing waves of light, and find behaviour\nquite unlike the well-studied quantum kicked rotor (QKR). Recent experiments\n[Jones et al, {\\em Phys. Rev. Lett. {\\bf 93}, 223002 (2004)}] identified a\nregime of chaotic, anomalous classical diffusion. We show that the\ncorresponding quantum phase-space has a cellular structure, arising from a\nunitary matrix with oscillating band-width. The corresponding eigenstates are\nexponentially localized, but scale with a fractional power, $L \\sim\n\\hbar^{-0.75}$, in contrast to the QKR for which $L \\sim \\hbar^{-1}$. The\neffect of inter-cell (and intra-cell) transport is investigated by studying the\nspectral fluctuations with both periodic as well as `open\u0027 boundary conditions.",
"arxiv_id": "physics/0510161",
"authors": [
"C. E. Creffield",
"S. Fishman",
"T. S. Monteiro"
],
"categories": [
"physics.atom-ph",
"nlin.CD",
"quant-ph"
],
"doi": "10.1103/PhysRevE.73.066202",
"journal_ref": "Phys. Rev. E 73, 066202 (2006).",
"title": "Theory of 2$\\delta$-kicked Quantum Rotors",
"url": "https://arxiv.org/abs/physics/0510161"
},
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