Motional stability of the quantum kicked rotor: A fidelity approach
We propose an atom optics experiment to measure the stability of the quantum kicked rotor under perturbations of the Hamiltonian. We avail ourselves of the theory of Loschmidt echoes, i.e., we consider the overlap of a quantum state evolved in a perturbed and an unperturbed potential. Atom interfero...
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| Veröffentlicht in: | Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2005-04, Vol.71 (4), Article 043803 |
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| container_issue | 4 |
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| container_title | Physical review. A, Atomic, molecular, and optical physics |
| container_volume | 71 |
| creator | Haug, F. Bienert, M. Schleich, W. P. Seligman, T. H. Raizen, M. G. |
| description | We propose an atom optics experiment to measure the stability of the quantum kicked rotor under perturbations of the Hamiltonian. We avail ourselves of the theory of Loschmidt echoes, i.e., we consider the overlap of a quantum state evolved in a perturbed and an unperturbed potential. Atom interferometry allows us to determine the overlap integral in amplitude and phase. A numerical analysis of the kicked rotor in various regimes shows that the quantum signatures of specific classical properties can be detected experimentally. |
| doi_str_mv | 10.1103/PhysRevA.71.043803 |
| format | Article |
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| ispartof | Physical review. A, Atomic, molecular, and optical physics, 2005-04, Vol.71 (4), Article 043803 |
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| language | eng |
| recordid | cdi_osti_scitechconnect_20653342 |
| source | American Physical Society Journals |
| subjects | AMPLITUDES ATOMIC AND MOLECULAR PHYSICS ATOMS DISTURBANCES HAMILTONIANS INTERFEROMETRY NUMERICAL ANALYSIS OPTICS POTENTIALS QUANTUM MECHANICS STABILITY |
| title | Motional stability of the quantum kicked rotor: A fidelity approach |
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