archives@tulane.edu / The fundamental problem of thermalization in quantum systems with long-range interactions is a target of the present study. This problem is relevant for the vast number of phenomena ranging from thermal conductivity of materials to error propagation in quantum computers. Two types of quantum systems are studied analytically in this work with a support from numerical simulations. Spin chains with power-law interactions are chosen as an example system that represents behavior of qubits in a quantum computer while the vibrational problem with non-linear interactions is a toy model of a polymer molecule with anharmonic bonding. The analytical results developed for both models within the framework of resonant counting method allow one to predict the integrability-chaos transitions for the future experimental verification. / 1 / Andrii Makysmov
| Identifer | oai:union.ndltd.org:TULANE/oai:http://digitallibrary.tulane.edu/:tulane_110783 |
| Date | January 2019 |
| Contributors | Maksymov, Andrii (author), Burin, Alexander (Thesis advisor), School of Science & Engineering Chemistry (Degree granting institution) |
| Publisher | Tulane University |
| Source Sets | Tulane University |
| Language | English |
| Detected Language | English |
| Type | Text |
| Format | electronic, pages: 122 |
| Rights | No embargo, Copyright is in accordance with U.S. Copyright law. |
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