Detection of avoided crossings by fidelity
The fidelity, defined as overlap of eigenstates of two slightly different Hamiltonians, is proposed as an efficient detector of avoided crossings in the energy spectrum. This new application of fidelity is motivated for model systems, and its value for analyzing complex quantum spectra is underlined...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2011
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| In: |
Physica. A, Statistical mechanics and its applications
Year: 2011, Volume: 390, Issue: 7, Pages: 1363-1369 |
| ISSN: | 1873-2119 |
| DOI: | 10.1016/j.physa.2010.12.017 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.physa.2010.12.017 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0378437110010496 
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| Author Notes: | Patrick Plötz, Michael Lubasch, Sandro Wimberger |
| Summary: | The fidelity, defined as overlap of eigenstates of two slightly different Hamiltonians, is proposed as an efficient detector of avoided crossings in the energy spectrum. This new application of fidelity is motivated for model systems, and its value for analyzing complex quantum spectra is underlined by applying it to a random matrix model and a tilted Bose-Hubbard system. |
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| Item Description: | Available online 22 December 2010 Gesehen am 23.12.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1873-2119 |
| DOI: | 10.1016/j.physa.2010.12.017 |