Details
| Original language | English |
|---|---|
| Article number | 053305 |
| Number of pages | 7 |
| Journal | Physical Review A |
| Volume | 108 |
| Issue number | 5 |
| Publication status | Published - 2 Nov 2023 |
Abstract
Recent experiments have realized a twisted-bilayer-like optical potential for ultracold atoms, which in contrast to solid-state setups may allow for an arbitrary ratio between the inter- and intralayer couplings. For commensurate moiré twistings, a large-enough interlayer coupling results in particle transport dominated by channel formation. For incommensurate twistings, the interlayer coupling acts as an effective disorder strength. Whereas for weak couplings the whole spectrum remains ergodic, at a critical value part of the eigenspectrum transitions into multifractal states. A similar transition may be observed as well as a function of an energy bias between the two layers. Our theoretical study reveals atoms in a twisted-bilayer system of square optical lattices as an interesting platform for the study of ergodicity breaking and multifractality.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A, Vol. 108, No. 5, 053305, 02.11.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Particle dynamics and ergodicity breaking in twisted-bilayer optical lattices
AU - Paul, Ganesh C.
AU - Recher, Patrik
AU - Santos, Luis
N1 - Funding Information: We acknowledge support of the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy – EXC-2123 Quantum-Frontiers – 390837967.
PY - 2023/11/2
Y1 - 2023/11/2
N2 - Recent experiments have realized a twisted-bilayer-like optical potential for ultracold atoms, which in contrast to solid-state setups may allow for an arbitrary ratio between the inter- and intralayer couplings. For commensurate moiré twistings, a large-enough interlayer coupling results in particle transport dominated by channel formation. For incommensurate twistings, the interlayer coupling acts as an effective disorder strength. Whereas for weak couplings the whole spectrum remains ergodic, at a critical value part of the eigenspectrum transitions into multifractal states. A similar transition may be observed as well as a function of an energy bias between the two layers. Our theoretical study reveals atoms in a twisted-bilayer system of square optical lattices as an interesting platform for the study of ergodicity breaking and multifractality.
AB - Recent experiments have realized a twisted-bilayer-like optical potential for ultracold atoms, which in contrast to solid-state setups may allow for an arbitrary ratio between the inter- and intralayer couplings. For commensurate moiré twistings, a large-enough interlayer coupling results in particle transport dominated by channel formation. For incommensurate twistings, the interlayer coupling acts as an effective disorder strength. Whereas for weak couplings the whole spectrum remains ergodic, at a critical value part of the eigenspectrum transitions into multifractal states. A similar transition may be observed as well as a function of an energy bias between the two layers. Our theoretical study reveals atoms in a twisted-bilayer system of square optical lattices as an interesting platform for the study of ergodicity breaking and multifractality.
UR - http://www.scopus.com/inward/record.url?scp=85176451589&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2306.01588
DO - 10.48550/arXiv.2306.01588
M3 - Article
AN - SCOPUS:85176451589
VL - 108
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 5
M1 - 053305
ER -