Banca de DEFESA: PEDRO RUYTER NICACIO FALCAO

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : PEDRO RUYTER NICACIO FALCAO
DATE: 10/11/2021
TIME: 10:00
LOCAL: Instituto de Física (remoto)
TITLE:

Wavepacket dynamics in discretethree-state quantum wlaks

KEY WORDS:

Quantum Walks, Localization, ScalingLaws, Nonlinearities

PAGES: 95
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUMMARY:

Currently, thereis a greatinterest in studying quantum computationand quantum informationtheory. Recentstudies show thatthesecomputerscan realize computationalcalculationsmuch more fasterthananyclassicalcomputer, in additiontoservingtounderstand fundamental propertiesof quantum systems. Amongthis new studies, the quantum walks serves as ananalogueoftheclassicalrandomwalks, whichiswidelystudied in computationscienceand in thedescriptionofphysical systems. In thisstudy, wewillanalyzethepropertiesofdiscrete-time quantum walks in linear andnonlinearmediums. Being more specific, wefocusedonthethree-state quantum walk, a modelthat posses anintrisiclocalizationaroundtheinitial position. We show that, in the linear case, relevantphysicalquantities in the quantum walkliteraturesatisfies universal dynamicalscalinglaws in thevicinityofthe point whereoccurthetransitionbetweenlocalizedanddelocalizedstates. Further, weobtainananalyticalexpressiontotheparticipationratio for theconfigurationwherethewalker are completelydelocalized in thelattice. Thisexpressionisalsovalid for others quantum walksthat posses thesamecharacteristics. Whenweconsider a nonlinear dynamics, wewillseethatthereisanemergenceof a new behavior in the quantum walkliterature, theirradiationofthelocalizedportionofthewave-packet. It is display thatthisirradiationfollowsanspecificpower-law, whichisindependentoftheinitialstateandalsofromthenonlinearityparameter. Wehopethattheresultsobtainedthroughthismonographybrings new ideastobeimplemented in a near future in thecontextof quantum walks, in such a waytobeuseful in thedevelopmentof new studies.

BANKING MEMBERS:
Externo à Instituição - ANDRE MAURICIO CONCEICAO DE SOUZA
Interno - 1063469 - GUILHERME MARTINS ALVES DE ALMEIDA
Presidente - 1120933 - MARCELO LEITE LYRA
Interno - 2657132 - WANDEARLEY DA SILVA DIAS