simulation of open quantum system dynamics using different ......a b c d a b d c simulation of open...
TRANSCRIPT
A B
C
D
A B
D
C
Simulationofopenquantumsystemdynamicsusingdifferentdegreesoffreedomoflight
DanielF.Urrego,Juan-RafaelÁlvarez,JeffersonFlórez,OmarCalderón-Losada, JiříSvozilík,MayerlinNuñezandAlejandraValencia
Laboratorio deÓptica Cuántica,Universidaddelos Andes,A.A.4976,Bogota,D.C.,ColombiaE-mail:[email protected]
Introduction
QuantumSystem+Environment ExperimentalSetup
Bibliography[1]Bi-Heng Liu,et.al.“Experimentalcontrolofthetransitionfrommarkovian tonon-markovian dynamicsofopenquantumsystems”.NatPhys,7,931-934,(2011).[2]M.A.NielsenandI.L.Chuang,“QuantumComputationandQuantumInformation,”CambridgeUniversityPress,Cambridge,UK,(2000).[3]JeffersonFlórez,et.al..“Interferenceoftwopulse-likespatialbeamswitharbitrarytransverseseparation”.JournalofOptics,18(12):125201,(2016).[4]L.J.SalazarSerrano,A.Valencia,andJ.P.Torres,“Tunablebeamdisplacer”,Rev.Sci.Instrum.86,033109(2015).
ExperimentalResults
Conclusions
The experiment is performed in 5 steps:1. Light source in which an 808 nm CW laser is coupled into a single mode fiber to
obtain a well-known Gaussian beam. A polarizer is used to set the light withvertical polarization.
2. Environment preparation (removable)is carried out by means of interferenceeffects[3]. It is possible to monitor the environment with the 2𝑓 system
3. Quantumsystempreparationtosettheinitialpolarizationstate.4. Couplingisobtainedbymeansofapolarizationtunablebeamdisplacer
(PTBD)[4].5. Quantumdynamicscharacterizationiscarriedoutbymeansofapolarization
analyzer.
We experimentally present the controlled transition, of an open-quantum system, between Markovian and Non-Markovian dynamics [1]. The polarization of light isused as the system, whereas the environment is represented by the spatial structure of light. The controlled coupling of these two domains is done by a polarizationsensitive tunable beam displacer. Additionally, we present the experimental implementation and theoretical model of a controllable dephasing quantum channel usingthe same photonic variables. Differently, from standard dephasing channels [2], the channel here reported presents a non-standard behavior, in the sense that theevolution of a state, from a pure to a mixed state, shows an oscillatory behavior if tracked in the Bloch sphere
• We simulated different quantum dynamics using photons. In particular, the polarization and transverse momentum of light serve as system and environment,respectively.
• Engineering of the transversal profile of light offered us the possibility to change the dynamics of the system. i.e., the transition from Markovian to non-Markovian.• The dynamics of a quantum system were characterized by the relative entropy, 𝑆(𝑦), fidelity, F(𝑦), and trace distance, D(𝑦).• The characterization of a controlling dephasing channel was realized experimentally
Figure 1.
Predoctoral SchoolonNano&QuantumOpticsLesHouches,France.November2017
4
4
5
5
2
2
Characterizationofsystemsdynamics
Trace Distance
Fidelity
Relative Entropy
B
C
D
A
Where 𝝉𝟏 and 𝝉𝟐 are the magnitude of the Bloch vector of 𝝆-𝟏 and 𝝆-𝟐
Non-MarkovianMarkovian
• Where 𝒚 simulates the temporal variable.
1
3
1
3
1
2
34
5
The experimental results of the dynamics of the quantum system for differentenvironments. The experimental data corresponds to diagonal and anti-diagonal initialpolarization states. The Dots are the experimental data and the solid lines are thetheoretical model.
Studyopenquantumdynamics Characterizationdephasingchannel