A robust scheme for the implementation of the quantum Rabi model in trapped ions
This is a modal window.
The media could not be loaded, either because the server or network failed or because the format is not supported.
Formal Metadata
| Title |
| |
| Title of Series | ||
| Number of Parts | 51 | |
| Author | ||
| License | CC Attribution 3.0 Unported: You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. | |
| Identifiers | 10.5446/38840 (DOI) | |
| Publisher | ||
| Release Date | ||
| Language |
Content Metadata
| Subject Area | ||
| Genre | ||
| Abstract |
|
51
00:00
Electric power distributionParticle physicsPlain bearingVideoQuantumModel buildingEinstein, AlbertIonComputer animation
00:05
Model buildingPaperMagnetizationNuclear powerWatercraft rowingAerodynamicsToolYearQuantumWriting implementProzessleittechnikSpin (physics)TypesettingOpticsSource (album)Quantum decoherenceScrapPower (physics)Handle (grip)Meeting/Interview
01:01
Hose couplingModel buildingQuantum phase transitionTransverse modeModel buildingHose couplingTheodoliteNuclear fissionComputer animation
01:17
Spin (physics)Elementary particleMagnetismGamma rayNoise (electronics)QuantumElementary particleCapital shipSpantCash registerWind waveCoherence (signal processing)Audio frequencyAngeregter ZustandTheodoliteSpin (physics)Cartridge (firearms)MagnetizationField strengthElectronic componentAerodynamicsGround stationFACTS (newspaper)Astronomisches FensterRoll formingTrade windElectronic mediaSpare partComputer animation
03:18
AntiparticleThursdayLithium-ion batteryHose couplingLadungsgekoppeltes BauelementProtectionNoise (electronics)AerodynamicsComputer animation
03:34
Model buildingLadungsgekoppeltes BauelementQuantumLaserModel buildingLaserQuantumIonAnimal trappingTypesettingComputer animation
03:52
Model buildingQuantumLadungsgekoppeltes BauelementProtectionQuantumSizingYearTypesettingFlight simulatorLadungsgekoppeltes BauelementModel buildingIonLaserComputer animation
Transcript: English(auto-generated)
00:05
We would like to introduce our paper entitled A Robust Scheme for the Implementation of the Quantum Rowing Model in Travailance. Dynamical decoupling was originally developed in the early years of nuclear magnetic restaurants as a tool to protect and preserve the quantum information or the quantum state encoded in a nuclear spin.
00:22
However, and with the advent of modern quantum technologies, this technique has experienced a revival, and represents a reliable tool to protect and process quantum information. In our paper we focus on a particular dynamical decoupling technique called concatenated continuous dynamical decoupling, or simply CCD, which can be efficiently applied to simulate the quantum-robbing model in trap-iron settings
00:44
in a variety of parameter regimes. More specifically, we deal with the main source of decoherence present in optical ions, namely the magnetic-defacing noise, which can be averaged out by keeping in the dynamics of the quantum-robbing model.
01:02
The quantum-robbing model describes the interaction between a single two-level system and a bosonic field mode. This model shows different physics depending on the parameter regime, as the transition from James Cummings' model to deep strong coupling regime, the relativistic Dirac equation, or the emergence of a quantum phase transition. For the understanding of dynamical decoupling, let us first consider the simplest case,
01:22
namely a spin-1.5 particle in a magnetic field. In this picture we can see that the spin is rotating at a frequency omega 0, which depends on the magnetic field intensity. If we introduce a radiofrequency field, the Hamiltonian has to be complete with this new term.
01:42
Then, in a rotating frame with respect to the free energy term of the spin-1.5, the Hamiltonian, after the rotating wave approximation, has its form. Therefore, the state psi 0 becomes an eigenstate of the Hamiltonian, and hence the quantum coherence is preserved. However, a more realistic situation corresponds to consider that the magnetic field may fluctuate.
02:07
Then, introducing the radiofrequency field will help us to eliminate the noisy component, represented here by del time. This can be better visualized again in a rotating frame with respect to the free energy term of the spin.
02:23
After the rotating wave approximation, the resonant component of the radiofrequency driving allows us to define a new spin basis, where the transitions due to the noise are prohibited. This is only possible if the noise, del time, has no frequency components on the range of capital omega.
02:42
In this manner, we can eliminate the noisy term that affects the quantum register. Additionally, we can also consider that our driving also fluctuates, which is represented in this picture by delta capital omega. Then, this new noisy term can be handled with an extra radiofrequency field,
03:04
which is incorporated to the Hamiltonian through the following term. Under the same conditions, one can get the following Hamiltonian, where the noise can be eliminated in the same manner as in the previous case. This strategy can be further applied introducing a third radiofrequency field.
03:23
Each radiofrequency field gives us an additional layer of protection against noise. That is why this is known as concatenated continuous dynamical decoupling, or CCD. In this article, we propose to use this technique in a trapped ion setting for a robust simulation of the quantum Rabi model.
03:43
In this situation, we have considered an optical ion interacting with a set of lasers. The general Hamiltonian is the following. While some lasers are used to generate the quantum Rabi model Hamiltonian, other lasers provide the protecting layers.
04:01
A summary of the parameters, up to two layers of protection, are outlined in the following table, while a detailed analysis of how to combine dynamical terms with protecting layers can be found in the article. With this, we have demonstrated the applicability of the CCD scheme to simulate the quantum Rabi model in a trapped ion setting. We expect to further apply this technique to more sophisticated models in the search of a robust quantum simulator.