Detection of avoided crossings by fidelity
arXiv:0909.4333 · doi:10.1016/j.physa.2010.12.017
Abstract
The fidelity, defined as overlap of eigenstates of two slightly different Hamiltonians, is proposed as an efficient detector of avoided c rossings in the energy spectrum. This new application of fidelity is motivated for model systems, and its value for analyzing complex qua ntum spectra is underlined by applying it to a random matrix model and a tilted Bose-Hubbard system.
more comprehensive version including new theory and data analysis
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Cited by in corpus (8)
- Extreme Decoherence and Quantum Chaos
- Quantum metrology at level anti-crossing
- Spectral analysis of two-dimensional Bose-Hubbard models
- Exact treatment of planar two-electron quantum dots: effects of anharmonicity on the complexity
- Applications of fidelity measures to complex quantum systems
- Exact numerical methods for a many-body Wannier Stark system
- Chaotic level mixing in a two-band Bose-Hubbard model
- Confinement-Induced Resonances in Spherical Shell Traps