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Out-of-time-order correlators as a measure of quantum chaos for sinai, cardioid and diamond billiards

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bracu.degree.levelUndergraduate
bracu.type.groupStudent Works
datacite.rightsOpen Access
dc.contributor.advisorAli, Tibra
dc.contributor.authorAdor, Tasnim Anzum
dc.contributor.authorFarid, Nayeem
dc.contributor.departmentDepartment of Mathematics and Natural Sciences
dc.date.accessioned2023-10-01T07:13:33Z
dc.date.available2023-10-01T07:13:33Z
dc.date.copyright2023
dc.date.issued2023-05
dc.descriptionThis thesis is submitted in a partial fulfillment of the requirements for the degree of Bachelor of Science in Physics.en_US
dc.descriptionCataloged from PDF version of thesis.
dc.descriptionIncludes bibliographical references (pages 52-55).
dc.description.abstractThe 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.en_US
dc.description.degreeBachelor of Science in Physics
dc.description.statementofresponsibilityTasnim Anzum Ador
dc.description.statementofresponsibilityNayeem Farid
dc.format.extent61 pages
dc.identifier.otherID 17311002
dc.identifier.otherID 21311002
dc.identifier.urihttp://hdl.handle.net/10361/21411
dc.language.isoenen_US
dc.publisherBRAC Universityen_US
dc.rightsBRAC 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.
dc.subjectLyapunov exponenten_US
dc.subjectErgodicityen_US
dc.subjectHyperbolicityen_US
dc.subjectStickinessen_US
dc.subjectOTOCsen_US
dc.subjectClassical chaosen_US
dc.subjectQuantum chaosen_US
dc.subjectEhrenfest timeen_US
dc.subject.lcshQuantum chaos
dc.subject.lcshChaotic behavior in systems
dc.titleOut-of-time-order correlators as a measure of quantum chaos for sinai, cardioid and diamond billiardsen_US
dc.typeThesisen_US

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Thesis (Bachelor of Science in Physics)