Proposal of a Cold-atom Realization of Quantum Maps with Hofstadter's Butterfly Spectrum
arXiv:0711.3939 · doi:10.1103/PhysRevA.77.031405
Abstract
Quantum systems with Hofstadter's butterfly spectrum are of fundamental interest to many research areas. Based upon slight modifications of existing cold-atom experiments, a cold-atom realization of quantum maps with Hofstadter's butterfly spectrum is proposed. Connections and differences between our realization and the kicked Harper model are identified. This work also exposes, for the first time, a simple connection between the kicked Harper model and the kicked rotor model, the two paradigms of classical and quantum chaos.
5 pages, 4 figures, minor changes, to appear in Phys. Rev. A (Rapid Communication)
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- Experimental Realization of Quantum-Resonance Ratchets
- Rectified momentum transport for a kicked Bose-Einstein Condensate
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- Quantum simulation of disordered systems with cold atoms
- Quantum Ratchet Accelerator without a Bichromatic Lattice Potential
- Floquet higher-order Weyl and nexus semimetals
- Directed momentum current induced by the PT-symmetric driving
- Spectral Relationships Between Kicked Harper and On-Resonance Double Kicked Rotor Operators
- Topological edge states at Floquet quantum criticality
- Pseudoclassical dynamics of the kicked top
- Unsupervised identification of Floquet topological phase boundaries
- Statistical Approach to Quantum Chaotic Ratchets
- Topological charges of periodically kicked molecules
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- Many topological regions on the Bloch sphere of the spin-1/2 double kicked top
- Anomalous multi-gap topological phases in periodically driven quantum rotors
- Impact of Boundary Conditions on the Double-Kicked Quantum Rotor
- Quantum Properties of Double Kicked Systems with Classical Translational Invariance in Momentum