Out-of-time-order correlators as a measure of quantum chaos for sinai, cardioid and diamond billiards
This thesis is submitted in a partial fulfillment of the requirements for the degree of Bachelor of Science in Physics.
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| Kieli: | English |
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Brac University
2023
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| Linkit: | http://hdl.handle.net/10361/21411 |
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10361-21411 |
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10361-214112023-10-01T21:03:00Z Out-of-time-order correlators as a measure of quantum chaos for sinai, cardioid and diamond billiards Ador, Tasnim Anzum Farid, Nayeem Ali, Tibra Department of Mathematics and Natural Sciences, Brac University Lyapunov exponent Ergodicity Hyperbolicity Stickiness OTOCs Classical chaos Quantum chaos Ehrenfest time Quantum chaos Chaotic behavior in systems This thesis is submitted in a partial fulfillment of the requirements for the degree of Bachelor of Science in Physics. Cataloged from PDF version of thesis. Includes bibliographical references (pages 52-55). The field of quantum chaos studies how the chaotic dynamics of a classical system manifest in its quantum counterpart. Various indicators and measures of classical chaos have been discovered, such as the classical Lyapunov exponent, that allow us to distinguish and analyze chaos in classical systems. However, the same cannot be said for quantum chaos. Measures of quantum chaos are few and far between, and the ones that have been found are not well understood. One such measure is the out-of-time-order correlator (OTOC). In this thesis, we employ out-of-time-order correlators to study quantum chaos in various billiard systems, and try to find correlations between the classical and quantum dynamics of these systems. Tasnim Anzum Ador Nayeem Farid B. Science in Physics 2023-10-01T07:13:33Z 2023-10-01T07:13:33Z 2023 2023-05 Thesis ID 17311002 ID 21311002 http://hdl.handle.net/10361/21411 en BRAC University thesis reports are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. 61 pages application/pdf Brac University |
| institution |
Brac University |
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Institutional Repository |
| language |
English |
| topic |
Lyapunov exponent Ergodicity Hyperbolicity Stickiness OTOCs Classical chaos Quantum chaos Ehrenfest time Quantum chaos Chaotic behavior in systems |
| spellingShingle |
Lyapunov exponent Ergodicity Hyperbolicity Stickiness OTOCs Classical chaos Quantum chaos Ehrenfest time Quantum chaos Chaotic behavior in systems Ador, Tasnim Anzum Farid, Nayeem Out-of-time-order correlators as a measure of quantum chaos for sinai, cardioid and diamond billiards |
| description |
This thesis is submitted in a partial fulfillment of the requirements for the degree of Bachelor of Science in Physics. |
| author2 |
Ali, Tibra |
| author_facet |
Ali, Tibra Ador, Tasnim Anzum Farid, Nayeem |
| format |
Thesis |
| author |
Ador, Tasnim Anzum Farid, Nayeem |
| author_sort |
Ador, Tasnim Anzum |
| title |
Out-of-time-order correlators as a measure of quantum chaos for sinai, cardioid and diamond billiards |
| title_short |
Out-of-time-order correlators as a measure of quantum chaos for sinai, cardioid and diamond billiards |
| title_full |
Out-of-time-order correlators as a measure of quantum chaos for sinai, cardioid and diamond billiards |
| title_fullStr |
Out-of-time-order correlators as a measure of quantum chaos for sinai, cardioid and diamond billiards |
| title_full_unstemmed |
Out-of-time-order correlators as a measure of quantum chaos for sinai, cardioid and diamond billiards |
| title_sort |
out-of-time-order correlators as a measure of quantum chaos for sinai, cardioid and diamond billiards |
| publisher |
Brac University |
| publishDate |
2023 |
| url |
http://hdl.handle.net/10361/21411 |
| work_keys_str_mv |
AT adortasnimanzum outoftimeordercorrelatorsasameasureofquantumchaosforsinaicardioidanddiamondbilliards AT faridnayeem outoftimeordercorrelatorsasameasureofquantumchaosforsinaicardioidanddiamondbilliards |
| _version_ |
1814307014304595968 |