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Experimentalsimulationofquantumdynamicsusingenvironmentsbasedonspatialvariablesoflight
DanielF.Urrego,JeffersonFlórez, Jiří Svozilík,MayerlinNuñez andAlejandraValenciaLaboratorio deÓptica Cuántica,Universidaddelos Andes,A.A.4976,Bogota,D.C.,Colombia
E-mail:[email protected]'(, 2017
Introduction
QuantumSystem+Environment ExperimentalSetup
Bibliography[1]Bi-Heng Liu,et.al.“Experimentalcontrolofthetransitionfrommarkovian tonon-markovian dynamicsofopenquantumsystems”.NatPhys,7, 931-934,(2011).[2]AndreaSmirne,et.al.“Experimentalinvestigationofinitialsystem-environmentcorrelationsviatrace-distanceevolution”.Phys.Rev.A,84:032112,(2011).[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 a 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 is carried out by means of interference effects[3]. It ispossible to monitor the environment with the 2𝑓 system
3. Quantumsystempreparationtosettheinitialpolarizationstate.4. Couplingisrealizedbymeansofapolarizationtunablebeamdisplacer
(PTBD)[4].5. Quantumdynamicscharacterizationiscarriedoutbymeansofapolarization
analyzer.
The experimental results of the dynamics of the quantum system for different environments. The experimental data corresponds to diagonal and anti-diagonal initialpolarization states. The Dots are the experimental data and the solid lines are the theoretical model.
At first glance, the interaction of a quantum system with an environment may seem to be detrimental for the information codified in the system. However, it is possiblefor the system to recover this information [1]. In this project, we used photonic systems to simulate quantum dynamics. We used the polarization as the quantumsystem and the transverse momentum of light as its environment [2]. Manipulating the environment by means of interference effects [3], we studied the transitionfrom Markovian to Non-Markovian. We identified the type of dynamics generated by means of the trace distance , fidelity and relative entropy.
• 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).
Figure 1.
QuantumInformationandMeasurement(QIM)- IV
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Characterizationofsystemsdynamics
Trace Distance
Fidelity
Relative Entropy
B
B
C
D
C D DC
BA A
A
Where 𝝉𝟏 and 𝝉𝟐 are the magnitude of the Bloch vector of 𝝆9𝟏 and 𝝆9𝟐
Non-MarkovianMarkovian
C
D
Markovian: monotonic decrease
Non-Markovian:
Markovian: monotonic increase
Non-Markovian:
non-monotonicdecrease
non-monotonicincrease
Markovian: monotonic decrease
Non-Markovian:non-monotonicdecrease
• Where 𝒚 simulates the temporal variable.
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A Structured environment
B
