Readout of a superconducting qubit [Elektronische Ressource] : a problem of a quantum escape processes for driven systems / presented by Alvise Verso

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• Physik

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• Publié par: universitat_ulm
• Publié le: 01 janvier 2010
• Nombre de lectures: 8
• Langue: English
• Poids de l'ouvrage: 1 Mo

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RefereeReadoutersitofacultaAlvisesupnaturalium)erconductingSciencesqubit:presenaVproblemhimofthequanoftumtheescapofebproersocessesUlm,forDr.driverholdenofsystemsFDoyctoralNaturalThesisofforUnivobtainingytheUlmacademicalteddegreeyofVDofromctoreniceof2010naturalProf.sciencesJoac(DoAnkctorrerumZwReadout2010ofDekaAnksupCalarco,erconductingTheoretiscqubit:Prof.aTheoretiscproblemProf.ofandtequanAxeltumagescapheJoacproInstitutcessesPhforhdrivTenf?rsystemsAmDissertationProf.zurInstitutErlangungChemiedesPromotion:27.10.2010DoktorgradesErstgutacDr.ter:rer.Dr.nat.himdererhold,Ff?rakult?thef?rysikNaturwissensceitgutachaftenter:derDr.Univommasoersit?tInstitutUlmAngewvAnalysisorgelegttierendervan:onDr.AlviseGro?,Vf?rersoheausTVderenedigUlm,.Con.ten.ts.In.tro.duction.1311.Classical.Dynamics.of21a.bifurcation.readout.5.1.1.Bifurcation.Readout....Quan.........3.1.....function...p...........ransition.......17.2.1.........del......5Semiclassical1.1.1.Josephson.bifurcation.amplier.and.Cawvit.y.bifurcation.ampliero.35....5.1.1.2.Bifurcation.readout..........1.3.2.................Op.Systems.Mo.................Caldeira-Leggett......7.1.1.3.Dynamics.of.a24drivhen.Josephson.junction................3.1.1.v............8Escap1.2erDungtialoscillatorClassical.................35.......................16.T.rate....................10.1.2.1.Rotating.frame....2.en.tum.21.Microscopic.del.................................2.2.Mo..........12.1.2.2.T.ransition.rate............3.Approac.29.WKB.......................................29.Semiclassical13a1.3eBey.ond.the.Dung.oscillator................4.e.v.a.oten.barrier.4.1.regime......................16.1.3.1.Stabilit.y.and.bifurcation..i..ii.CONTENTS.4.2.Semiclassical.deriv.ation.of.the.Kramerseequation77.......Isolated.............close........37.4.2.1.Semiclassical.matrix.elemen.tswith...Deriv.69...diusion.....76.....the.elemen.......5.3.........5.4..37.4.2.2.Semiclassical.expansionDungof.the.master.equation..65........."classical"...uctuations........40.4.3.Energytransmissiondiusion.for.nite.transmission........81.83.top.................b-shift............41.4.3.1.Semiclassical.matrix.elemen.ts..............63.65...................System........43.4.3.2.Expansion.of69theofmasterdiusionequation....Bath.............6.2.3.nite.........6.2.4.for........45.4.4DiscussionQuan.tum.escap.e.rate..........and.Expansion.op.WKB.the.C.87.............................58.Lam........46.4.5.Discussion........................62.Conclusions.....................................6.Oscillator.6.1.system....48.4.5.1.Quan.tum.eects......................6.2.coupled.bath.............................6.2.1.ation48the4.5.2energyHigherequationorder.friction.corrections....6.2.2.induced.........................73.Energy.for.transmission....50.5.Quan.tum.dissipation.in.a73rotatingEscapframerate53nite5.1.Rotating.frame................6.3.......................................Summary.Conclusions.A.of.diusion.erator.B53eigenfunctions5.2toEectivbarriere85tempMatrixeraturets..91CONTENTSyiiiBibliograph~
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